Science and Technology Textbook PDF - Maharashtra State Bureau of Textbook Production and Curriculum Research

Permission is granted for enforcing this textbook from the academic year 2018-19 in the meeting, held on the date 29.12.2017, of the coordination committee constituted by the Government resolution No: Abhyas-2116/(Pra.kra.43/16) S.D-4 dated 25.4.2016 Maharashtra State Bureau of...

Permission is granted for enforcing this textbook from the academic year 2018-19 in the meeting, held on the date 29.12.2017, of the coordination committee constituted by the Government resolution No: Abhyas-2116/(Pra.kra.43/16) S.D-4 dated 25.4.2016 Maharashtra State Bureau of Textbook Production and Curriculum Research, Pune. The digital textbook can be obtained through DIKSHA App on your smartphone by using the Q.R.Code given on title page of the textbook and useful audio-visual teaching-learning material of the relevant lesson will be available through the Q.R. Code given in each lesson of this textbook. A First Edition : 2018 © Maharashtra State Bureau of Textbook Production Reprint : 2022 and Curriculum Research, Pune - 411 004. The Maharashtra State Bureau of Textbook Production and Curriculum Research reserves all rights relating to the book. No part of this book should be reproduced without the written permission of the Director, Maharashtra State Bureau of Textbook Production and Curriculum Research, ‘Balbharati’, Senapati Bapat Marg, Pune 411004. Science Subject Committee : Cover and Illustrations : Shri. Vivekanand Shivshankar Patil Dr. Chandrashekhar Murumkar, Chairman Ashana Advani Dr. Dilip Sadashiv Joag, Member Typesetting : Dr. Sushama Dilip Joag, Member DTP Section, Textbook Bureau, Pune Dr. Pushpa Khare, Member Dr. Imtiaz Sirajuddin Mulla, Member Coordination : Dr. Jaydeep Vinayak Sali, Member Rajiv Arun Patole Dr. Abhay Jere, Member Special Officer for Science Dr. Sulabha Nitin Vidhate, Member Smt. Mrinalini Desai, Member Translation : Shri. Gajanan Suryawanshi, Member Dr. Sushma Dilip Joag Shri. Sudhir Yadavrao Kamble, Member Dr. Pushpa Khare Smt. Dipali Dhananjay Bhale, Member Dr. Dilip Sadashiv Joag Shri. Rajiv Arun Patole, Member-Secretary Scrutiny : Dr. Imtiaz S. Mulla Science Study Group : Dr. Jaydeep Vinayak Sali Dr. Prabhakar Nagnath Kshirsagar Dr. Vishnu Vaze Dr. Prachi Rahul Choudhary Paper : Dr. Shaikh Mohammed Waquioddin H. 70 GSM Creamwove Dr. Ajay Digambar Mahajan Dr. Gayatri Gorakhnath Choukade Print Order : Shri. Prashant Panditrao Kolse Shri.Sandip Popatlal Chordiya Shri. Sachin Ashok Bartakke Printer : Smt. Shweta Dilip Thakur Shri. Rupesh Dinkar Thakur Shri. Dayashankar Vishnu Vaidya Shri. Sukumar Shrenik Navale Shri. Gajanan Nagoraoji Mankar Shri. Mohammed Atique Abdul Shaikh Production : Smt. Anjali Lakshmikant Khadke Sachchitanand Aphale Smt. Manisha Rajendra Dahivelkar Chief Production Officer Smt. Jyoti Medpilwar Rajendra Vispute Smt. Dipti Chandansingh Bisht Smt. Pushpalata Gawande Production Officer Smt. Anita Patil Smt. Kanchan Rajendra Sorate Shri. Rajesh Vamanrao Roman Shri. Nagesh Bhimsevak Telgote Publisher : Shri. Shankar Bhikan Rajput Vivek Uttam Gosavi Shri. Manoj Rahangdale Controller Shri. Hemant Achyut Lagvankar Maharashtra State Textbook Bureau, Smt. Jyoti Damodar Karane Prabhadevi, Mumbai - 400 025. Shri. Vishwas Bhave B C D  Preface Dear students Welcome to Std X. We have great pleasure in offering you this Science and Technology textbook based on the new syllabus. From the primary level till today, you have studied science from various textbooks. In this textbook, you will be able to study the fundamental concepts of science and technology from a different point of view through the medium of the different branches of Science. The basic purpose of this textbook Science and Technology Part-1 can be said to be 'Understand and explain to others' the science and technology that relates to our everyday life. While studying the concepts, principles and theories in science, do make the effort to understand their connection with day to day affairs. While studying from this textbook, use the sections 'Can you recall?' and 'Can you tell?' for revision. You will learn science through the many activities given under the titles such as 'Observe and discuss' and 'Try this' or 'Let's try this. Make sure that you perform all these activities. Activities like 'Use your brain power!', 'Research', 'Think about it' will stimulate your power of thinking. Many experiments have been included in the textbook. Carry out these experiments yourself, following the given procedure and making your own observations. Ask your teachers, parents or classmates for help whenever you need it. Interesting information which reveals the science underlying the events we commonly observe, and the technology developed on its basis, has been given in details in this textbook through several activities. In this world of rapidly developing technology, you have already become familiar with computers and smartphones. While studying the textbook, make full and proper use of the devices of information communication technology, which will make your studies easier. For more effective studies, you can avail additional audio-visual material for each chapter using the Q.R code through an App.This will definitely help you in your studies. While carrying out the given activities and experiments, take all precautions with regard to handling apparatus, chemicals, etc. and encourage others to take the same precautions. It is expected that while carrying out activities or observation involving plants and animals, you will also make efforts towards conservation of the environment. You must of course take all the care to avoid causing any harm or injury to them. Do tell us about the parts that you like, as well as about the difficulties that you face as you read and study and understand this textbook. Our best wishes for your academic progress. (Dr.Sunil Magar) Pune Director Date : 18 March 2018, Gudhipadva Maharashtra State Bureau of Textbook Indian Solar Year : 27 Phalgun 1939 and Curriculum Research, Pune E  For Teachers l In Standards I to V we have told the simple science in day to day life through the study of surroundings. In VI to VIII standard we have given brief introduction to science. In the textbook 'Science and Technology' for standard IX we have given the relation between science and technology. l The real objective of science education is to learn to be able to think logically and with discretion about events that are happening around us. l In view of the age group of Std X students, it would be appropriate, in the process of science education, to give freedom and scope to the students’ own curiosity about the events of the world, their propensity to go looking for the causes behind them and to their own initiative and capacity to take the lead. l As experimental skills are necessary for observation, logic, estimation, comparison and application of information obtained in science education, deliberate efforts must be made to develop these skills while dealing with laboratory experiments given in the textbook. All observations that the students have noted should be accepted, and then they should be helped to achieve the expected results. l These two years in middle school lay the foundation of higher education in Science. Hence, it is our responsibility to enrich and enhance student's interest in science. You all will of course always actively pursue the objective of imbuing them with a scientific temper in them and developing their creativity and along with internet and skill. l You can use ‘Let’s recall’ to review the previous knowledge required for a lesson and ‘Can you tell?’ to introduce a topic by eliciting all the knowledge that the students already have about it from their own reading or experience. You may of course use any of your own activities or questions that occur to you for this purpose. Activities given under ‘Try this’ and ‘Let’s try this’ help to explain the content of the lesson. The former are for students to do themselves and the latter are those that you are expected to demonstrate. ‘Use your brain power!’ is meant for application of previous knowledge for the new lesson, and ‘Always remember’ gives important suggestions/information or values. ‘Research’, ‘Find out’, ‘Do you know?’, ‘Introduction to scientists’ and ‘Institutes at work’ are meant to give some information about the world outside the textbook and to develop the habit of doing independent reference work to obtain additional information. l This textbook is not only meant for reading and explaining in the classroom but is also for guiding students to learn the methods of gaining knowledge by carrying out the given activities. An informal atmosphere in the classroom is required to achieve the aims of this textbook. maximum number of students should be encouraged to participate in discussions, experiments and activities. Special efforts should be made to organise presentations or report-reading in the class based on students’ activities and projects, besides observing of Science Day and other relevant occasions/ days. l The science and technology content of the textbook has been complemented with Information Communication Technology. These activities are to be conducted under your guidance while learning various new scientific concepts. Front and back covers : Pictures of various activities, experiments and concepts in the book. DISCLAIMER Note : All attempts have been made to contact copy righters (©) but we have not heard from them. We will be pleased to acknowledge the copy right holder (s) in our next edition if we learn from them. F  Competency Statements The students are expected to achieve the following competency level after studying the text book Science and Technology Part 1 Motion, Force and Machines * To be able to explain the scientific reasons behind various phenomenal on the basis of relationship between gravitational force and motion. * To be able to write formulae describing the relations between gravitation and motion and using these solve various numerical problems. Energy * To adapt an environment friendly lifestyle taking into account the grave effects of energy crisis and to encourage others to adapt it. * To prepare , use and repair the equipments based on energy. * To verify the laws of current electricity and to draw conclusions based on them * To develop to solve numerical problems based on effects of current electricity. * To observe various apparatus based on effects of current electricity and explain their functions with reasons. * To give a scientific explanation of the images formed by lenses by drawing accurate ray diagrams. * To explain properties of light, the images formed by lenses and their use in different equipments used in day to day life. * To find out the focal length of a lens using given data. * To study defects of vision in human eye and their remedies * To draw neat and labelled diagram of human eye. Substances in our use * To explain systematic classifications of elements and their positions in the periodic table. * To identify type of chemical reaction in two components. * To verify chemical reaction experimentally and draw conclusions. * To correct the chemicals equation which is incomplete or wrong. * To verify the properties of carbon compounds through experiments. * To take proper care while performing the experiments and handling of the apparatus considering the effects of chemical reactions on human health. * To guide the society through scientific attitude about the use of carbon compounds in daily life. * To understand the relationship between chemical reaction of metals in daily life and use them to solve various problem. The Universe * To analyse the information obtained from space research and remove superstitions prevailing in society. * To review the contribution made by India to space research. * To search for future opportunities in the field of space research. Information Communication technology (ICT) * To use information communication Technology in day today life. * To share the information about science and technology by using the internet. * To explain amazing that have occurred fields by using information communication technology G  Index Sr No. Title of Lesson Page No. 1. Gravitation..........................................................................................................1 2. Periodic Classification of Element..................................................................16 3. Chemical reactions and equations..................................................................30 4. Effects of electric current................................................................................47 5. Heat...................................................................................................................62 6. Refraction of light............................................................................................73 7. Lenses................................................................................................................80 8. Metallurgy........................................................................................................93 9. Carbon compounds........................................................................................110 10. Space Missions................................................................................................135 Academic Planning Two separate books have been prepared for Science and technology. Science and technology part 1 contains ten chapters mainly related to physics and chemistry. While thinking about science and technology, it is expected that an integrated approach will be taken while teaching and a connection will be made between different components of science and technology. In previous standards, we have studied various topics in science and technology together. For technical case two separate books science and technology part 1 and part 2 have been prepared, but it is necessary that an integrated perspective be taken while teaching. Out of the ten chapters included in text book science and technology part 1, the first five chapters are expected to be taught in the first session while the next five chapters in the second session. At the end of a session a written examination for 40 marks and a practical examination for ten marks should be conducted. Exercises and projects have been given at the end of every chapters in the text book. In view of evaluation, representative questions similar to those in the activity sheets of language books are given in exercises. You may make similar other questions for your use. The students should be evaluated based on these questions detailed information above to this will be given in separate evaluation scheme. H  1. Gravitation Ø Gravitation Ø Circular motion and centripetal force Ø Kepler’s laws Ø Newton’s universal law of gravitation Ø Acceleration due to the gravitational force of the Earth Ø Free fall Ø Escape velocity 1. What are the effects of a force acting on an object? Can you recall? 2. What types of forces are you familiar with? 3. What do you know about the gravitational force? We have seen in the previous standard that the gravitational force is a universal force and it acts not only between two objects on the earth but also between any two objects in the universe. Let us now learn how this force was discovered. Gravitation As we have learnt, the phenomenon of gravitation was discovered by Sir Isaac Newton. As the story goes, he discovered the force by seeing an apple fall from a tree on the ground. He wondered why all apples fall vertically downward and not at an angle to the vertical. Why do they not fly off in a horizontal direction? After much thought, he came to the conclusion that the earth must be attracting the apple towards itself and this attractive force must be directed towards the center of the earth. The direction from the apple on the tree to the center of the earth is the vertical direction at the position of the apple and thus, the apple falls vertically downwards. Figure 1.1 on the left shows an apple tree on the earth. The force on an apple on the tree Gravitational Moon is towards the center of the earth i.e. along the force perpendicular from the position of the apple to the surface of the earth. The Figure also. Falling apple shows the gravitational force between the earth and the moon. The distances in the figure are not according to scale. Newton thought that if the force of Earth gravitation acts on apples on the tree at different heights from the surface of the earth, can it also act on objects at even greater 1.1 Concept of the gravitational force and heights, much farther away from the earth, the gravitational force between the earth like for example, the moon? Can it act on and the moon. even farther objects like the other planets and the Sun? Use of ICT : Collect videos and ppts about the gravitational force of different planets. Force and Motion We have seen that a force is necessary to change the speed as well as the direction of motion of an object. Can you recall? What are Newton’s laws of motion? 1  Introduction to scientist Great Scientists: Sir Isaac Newton (1642-1727) was one of the greatest scientists of recent times. He was born in England. He gave his laws of motion, equations of motion and theory of gravity in his book Principia. Before this book was written, Kepler had given three laws describing planetary motions. However, the reason why planets move in the way described by Kepler’s laws was not known. Newton, with his theory of gravity, mathematically derived Kepler’s laws. In addition to this, Newton did ground breaking work in several areas including light, heat, sound and mathematics. He invented a new branch of mathematics. This is called calculus and has wide ranging applications in physics and mathematics. He was the first scientist to construct a reflecting telescope. Circular motion and Centripetal force Try this Tie a stone to one end of a string. Take the other end in your hand and rotate the string so that the stone moves along a circle as shown in figure 1.2 a. Are you applying any force on the stone? In which direction is this force acting? How will you stop this force from acting? What will be the effect on the stone? As long as we are holding the string, we are pulling the stone towards us i.e. towards the centre of the circle and are a. applying a force towards it. The force stops acting if we release the string. In this case, the stone will fly off along a straight line which is the tangent to the circle at the position of the stone when the string is released, because that is the direction of its velocity at that instant of time (Figure 1.2 b). You may recall that we have performed a similar activity previously in which a 5 rupee coin kept on a rotating circular disk flies off the disk b. along the tangent to the disk. Thus, a force acts on any object moving along a circle and it is directed towards the centre of the 1.2 A stone tied to a string, circle. This is called the Centripetal force. ‘Centripetal’ means moving along a circular centre seeking, i.e. the object tries to go towards the centre of the path and its velocity in circle because of this force. tangential direction You know that the moon, which is the natural satellite of the earth, goes round it in a definite orbit. The direction of motion of the moon as well as its speed constantly changes during this motion. Do you think some force is constantly acting on the moon? What must be the direction of this force? How would its motion have been if no such force acted on it? Do the other planets in the solar system revolve around the Sun in a similar fashion? Is similar force acting on them? What must be its direction? From the above activity, example and questions it is clear that for the moon to go around the earth, there must be a force which is exerted on the moon and this force must be exerted by the earth which attracts the moon towards itself. Similarly, the Sun must be attracting the planets, including the earth, towards itself. 2 Kepler’s Laws Planetary motion had been observed by astronomers since ancient times. Before Galileo, all observations of the planet’s positions were made with naked eyes. By the 16th century a lot of data were available about planetary positions and motion. Johannes Kepler, studied these data. He noticed that the motion of planets follows certain laws. He stated three laws describing planetary motion. These are known as Kepler’s laws which are given below. Do you know ? An ellipse is the curve obtained when a cone is cut by an inclined plane. It has B A two focal points. The sum of the distances to the two focal points from every point on the curve is constant. F1 and F2 are two focal points of the ellipse shown in figure F1 F2 1.3. If A, B and C are three points on the ellipse then, C AF1 + AF2 = BF1 + BF2 = CF1 + CF2 1.3 An ellipse Kepler’s first law : D C The orbit of a planet is an ellipse with the Sun at one of the foci. 2 Figure 1.4 shows the elliptical orbit of B a planet revolving around the sun. The E position of the Sun is indicated by S. 3 1 Kepler’s second law : F S The line joining the planet and the Sun Sun sweeps equal areas in equal intervals A of time. Planet AB and CD are distances covered by the planet in equal time i.e. after equal in- tervals of time, the positions of the planet 1.4 The orbit of a planet moving starting from A and C are shown by B and around the Sun. D respectively. The straight lines AS and CS sweep equal area in equal interval of time i.e. area ASB and CSD are equal. Kepler’s third law : The square of its period of revolution around the Sun is directly proportional to the cube of the mean distance of a planet from the Sun. Thus, if r is the average distance of the planet from the Sun and T is its period of revolution then, T2 T a r i.e. 2 3 = constant = K............. (1) r 3 Kepler obtained these laws simply from the study of the positions of planets obtained by regular observations. He had no explanation as to why planets obey these laws. We will see below how these laws helped Newton in the formulation of his theory of gravitation. 3  If the area ESF in figure 1.4 is equal to area ASB, what Use your brain power will you infer about EF? Newton’s universal law of gravitation All the above considerations including Kepler’s laws led Newton to formulate his theory of Universal gravity. According to this theory, every object in the Universe attracts every other object with a definite force. This force is directly proportional to the product of the masses of the two objects and is inversely proportional to the square of the distance between them. An introduction to scientists Johannes Kepler (1571-1630) was a German astronomer and mathematician. He started working as a helper to the famous astronomer Tycho Brahe in Prague in 1600. After the sudden death of Brahe in 1601, Kepler was appointed as the Royal mathematician in his place. Kepler used the observations of planetary positions made by Brahe to discover the laws of planetary motion. He wrote several books. His work was later used by Newton in postulating his law of gravitation. Figure 1.5 shows two objects with masses m1 and m2 kept at a distance d from each other. Mathematically, the gravitational force of attraction between these two bodies can be written as d m1m2 m1m2 Fa or F= G....... (2) 1.5 Gravitational force between d2 d2 two objects Here, G is the constant of proportionality and is called the Universal gravitational constant. The above law means that if the mass of one object is doubled, the force between the two objects also doubles. Also, if the distance is doubled, the force decreases by a factor of 4. If the two bodies are spherical, the direction of the force is always along the line joining the centres of the two bodies and the distance between the centres is taken to be d. In case when the bodies are not spherical or have irregular shape, then the direction of force is along the line joining their centres of mass and d is taken to be the distance between the two centres of mass. From equation (2), it can be seen that Use your brain power the value of G is the gravitational force Show that in SI units, the unit of G acting between two unit masses kept at a is Newton m2 kg-2. The value of G was unit distance away from each other. Thus, first experimentally measured by Henry in SI units, the value of G is equal to the Cavendish. In SI units its value is gravitational force between two masses of 6.673 x 10-11 N m2 kg-2. 1 kg kept 1 m apart. 4  The centre of mass of an object is the point inside or outside the object at which the total mass of the object can be assumed to be concentrated. The centre of mass of a spherical object having uniform density is at its geometrical centre. The centre of mass of any object having uniform density is at its centroid. Why did Newton assume inverse square dependence on distance in his law of gravitation? He was helped by Kepler’s third law in this as shown below. Uniform circular motion / Magnitude of centripetal force Consider an object moving in a circle with constant speed. We have seen earlier that such a motion is possible only when the object is constantly acted upon by a force directed towards the centre of the circle. This force is called the centripetal force. If m is the mass of the object, v is its speed and r is the radius of the circle, then it can be shown that this force is equal to F = m v2/r. If a planet is revolving around the Sun in a circular distance travelled orbit in uniform circular motion, then the centripetal force Speed = acting on the planet towards the Sun must be F = mv2/r, time taken where, m is the mass of the planet, v is its speed and r is its distance from the Sun. The speed of the planet can be expressed in terms of the period of revolution T as follows. The distance travelled by the planet in one revolution =perimeter of the orbit 2 p r ; r = distance of the planet from the Sun, Time taken = Period of revolution = T distance travelled 2pr v= time taken = T F= mv2 = m( T) 2pr 2 = 4 m p2 r , multiplying and dividing by r2 we get, r r T2 F= 4 m p2 r 2 ´ ( ( T r3 2. According to Kepler’s third law, T2 r3 1 =K 1 4 m p2 4 m p2 \ F = constant ´ \ F α F= , But = Constant r 2 r2 r2 K K Thus, Newton concluded that the centripetal force which is the force acting on the planet and is responsible for its circular motion, must be inversely proportional to the square of the distance between the planet and the Sun. Newton identified this force with the force of gravity and hence postulated the inverse square law of gravitation. The gravitational force is much weaker than other forces in nature but it controls the Universe and decides its future. This is possible because of the huge masses of planets, stars and other constituents of the Universe. Use your brain power Is there a gravitational force between two objects kept on a table or between you and your friend sitting next to you? If yes, why don’t the two move towards each other? 5  Solved examples Example 1 : Mahendra and Virat are sitting Given: Force on Mahendra = F = 4.002 x at a distance of 1 metre from each other. Their 10 -7 N, Mahendra’s mass = m = 75 kg masses are 75 kg and 80 kg respectively. According to Newton’s second law, the What is the gravitational force between them? acceleration produced by the force on Given : r = 1 m, m1 = 75 kg, m2 = 80 kg and Mahendra = m = 75 kg. G = 6.67 x 10 -11 Nm2/kg2 F 4.002 x 10-7 According to Newton’s law a = = = 5.34 x 10-9 m/s2 m 75 G m1m2 F= Using Newton’s first equation, we can r2 calculate Mahendra’s velocity after 1s, 6.67 x 10-11 x 75 x 80 F = N Newton’s first equation of motion is 12 v = u + a t; = 4.002 x 10-7 N As Mahendra is sitting on the bench, his The gravitational force between Mahendra initial velocity is zero (u=0) and Virat is 4.002 x 10-7 N Assuming the bench to be frictionless, This is a very small force. If the force of v = 0 + 5.34 x 10-9 x 1 m/s friction between Mahendra and the bench on = 5.34 x 10-9 m/s which he is sitting is zero, then he will start Mahendra’s velocity after 1 s will be moving towards Virat under the action of 5.34 x 10-9 m/s. this force. We can calculate his acceleration This is an extremely small velocity. and velocity by using Newton’s laws of mo- The velocity will increase with time because tion. of the acceleration. The acceleration will Example 2 : In the above example, assuming also not remain constant because as that the bench on which Mahendra is sitting Mahendra moves towards Virat, the is frictionless, starting with zero velocity, distance between them will decrease, what will be Mahendra’s velocity of motion causing an increase in the gravitational towards Virat after 1 s ? Will this velocity force, thereby increasing the acceleration change with time and how? as per Newton’s second law of motion. Assuming the acceleration in Example 2 above remains Use your brain power ! constant, how long will Mahendra take to move 1 cm towards Virat? Do you know ? Low tide You must be knowing about the high and low tides that occur regularly in the sea. The level of sea water at any given location along High sea shore increases and decreases twice a day tide at regular intervals. High and low tides occur at different times at different places. The level of water in the sea changes because of the 1.6 Low and high tides gravitational force exerted by the moon. Water directly under the moon gets pulled towards the moon and the level of water there goes up causing high tide at that place. At two places on the earth at 90o from the place of high tide, the level of water is minimum and low tides occur there as shown in figure 1.6 6  Collect information about high and low tides from geography books. Observe the timing of high and low tides at one place when you go for a picnic to be a beach. Take pictures and hold an exhibition. Earth’ gravitational force Will the velocity of a stone thrown vertically upwards remain constant or will it change with time? How will it change? Why doesn’t the stone move up all the time? Why does it fall down after reaching a certain height? What does its maximum height depend on ? The earth attracts every object near it towards itself because of the gravitational force. The centre of mass of the earth is situated at its centre, so the gravitational force on any object due to the earth is always directed towards the centre of the earth. Because of this force, an object falls vertically downwards on the earth. Similarly, when we throw a stone vertically upwards, this force tries to pull it down and reduces its velocity. Due to this constant downward pull, the velocity becomes zero after a while. The pull continues to be exerted and the stone starts moving vertically downward towards the centre of the earth under its influence. Solved Examples Example 1: Calculate the gravitational force Example 2: Starting from rest, what will be due to the earth on Mahendra in the earlier Mahendra’s velocity after one second if he example. is falling down due to the gravitational force Given: Mass of the earth = m1 = 6 x 10 kg 24 of the earth? Radius of the earth = R = 6.4 x 106 m Given: u = 0, F = 733 N, Mahendra’s mass = m2 = 75 kg Mahendra’s mass = m = 75 kg G = 6.67 x 10-11 Nm2/kg2 time t = 1 s Using the force law, the gravitational Mahendra’s acceleration force on Mahendra due to earth is given by F 733 This force is 1.83 x 109 times larger than a= = m/s2 m 75 the gravitational force between Mahendra According to Newton’s first equation of and Virat. motion, G m1m2 F= v=u+at R2 Mahendra’s velocity after 1 second 6.67 x 10-11 x 75 x 6 x 1024 v = 0 + 9.77 x 1 m/s F = N = 733 N v = 9.77 m/s (6.4 x 106 )2 This is 1.83 x 109 times Mahendra’s velocity in example 2, on page 6. According to Newton’s law of gravitation, every Use your brain power ! object attracts every other object. Thus, if the earth attracts an apple towards itself, the apple also attracts the earth to- wards itself with the same force. Why then does the apple fall towards the earth, but the earth does not move towards the apple? The gravitational force due to the earth also acts on the moon because of which it revolves around the earth. Similar situation exists for the artificial satellites orbiting the earth. The moon and the artificial satellites orbit the earth. The earth attracts them towards itself but unlike the falling apple, they do not fall on the earth, why? This is because of the velocity of the moon and the satellites along their orbits. If this velocity was not there, they would have fallen on the earth. 7 Earth’s gravitational acceleration The earth exerts gravitational force on objects near it. According to Newton’s second law of motion, a force acting on a body results in its acceleration. Thus, the gravitational force due to the earth on a body results in its acceleration. This is called acceleration due to gravity and is denoted by ‘g’. Acceleration is a vector. As the gravitational force on any object due to the earth is directed towards the centre of the earth, the direction of the acceleration due to grav- ity is also directed towards the centre of the earth i.e. vertically downwards. 1. What would happen if there were no gravity? Think about it 2. What would happen if the value of G was twice as large? Value of g on the surface of the earth We can calculate the value of g by using Newton’s universal law of gravitation for an object of mass m situated at a distance r from the centre of the earth. The law of gravitation gives GMm F=............. (3) M is the mass of the earth. r2 GMm F = m g................... (4) From (3) and (4), mg = r2 GM g=............ (5) If the object is situated on the surface of the earth, r = R = Radius r2 of the earth. Thus, the value of g on the surface of the earth is. G M......... (6) The unit of g in SI units is m/s2. The mass and radius of the earth g= R 2 are 6 x1024 kg and 6.4x106 m, respectively. Using these in (6) 6.67 x 10-11 x 6 x 1024 g= = 9.77 m/s2......................... (7) (6.4 x 106 )2 This acceleration depends only on the mass M and radius R of the earth and so the acceleration due to gravity at a given point on the earth is the same for all objects. It does not depend on the properties of the object. Can you tell? What would be the value of g on the surface of the earth if its mass was twice as large and its radius half of what it is now? Variation in value of g A. Change along the surface of the earth : Will the value of g be the same everywhere on the surface of the earth? The answer is no. The reason is that the shape of the earth is not ex- actly spherical and so the distance of a point on the surface of the earth from its centre differs somewhat from place to place. Due to its rotation, the earth bulges at the equator and is flatter at the poles. Its radius is largest at the equator and smallest at the poles. The value of g is thus highest (9.832 m/s2) at the poles and decreases slowly with decreasing latitude. It is lowest (9.78 m/s2) at the equator. B. Change with height : As we go above the earth’s surface, the value of r in equation (5) increases and the value of g decreases. However, the decrease is rather small for heights which are small in comparison to the earth’s radius. For example, remember that the radius of the earth is 6400 km. If an aeroplane is flying at a height 10 km above the surface of the earth, its distance from the earth’s surface changes from 6400 km to 6410 km and the change in the value of g due to it is negligible. On the other hand, when we consider an artificial satellite orbiting the earth, we have to take into account the change in the value of g due to the large change in the distance of the satellite from the centre of the earth. Some typical heights and the values of g at these heights are given in the following table. 8  Place Height (km) g (m/s2) Surface of the earth (average) 0 9.8 Mount Everest 8.8 9.8 Maximum height reached by man- 36.6 9.77 made balloon Height of a typical weather satellite 400 8.7 Height of communication satellite 35700 0.225 1.7 Table showing change of g with height above the earth’s surface C. Change with depth : The value of g also changes if we go inside the earth. The value of r in equation (5) decreases and one would think that the value of g should increase as per the formula. However, the part of the earth which contributes towards the gravitation- al force felt by the object also decreases. Which means that the value of M to be used in equation (5) also decreases. As a combined result of change in r and M, the value of g decreases as we go deep inside the earth. Think about it 1. Will the direction of the gravitational force change as we go inside the earth? 2. What will be the value of g at the centre of the earth? Every planet and satellite has different mass and radius. Hence, according to equation (6), the values of g on their surfaces are different. On the moon it is about 1/6th of the value on the earth. As a result, using the same amount of force, we can jump 6 times higher on the moon as compared to that on the earth. Mass and Weight Mass : Mass is the amount of matter present in the object. The SI unit of mass is kg. Mass is a scalar quantity. Its value is same everywhere. Its value does not change even when we go to another planet. According to Newton’s first law, it is the measure of the inertia of an object. Higher the mass, higher is the inertia. Weight : The weight of an object is defined as the force with which the earth attracts the object. The force (F) on an object of mass m on the surface of the earth can be written using equation (4) GM \Weight, W = F = m g.... ( g = R2 ) Weight being a force, its SI unit is Newton. Also, the weight, being a force, is a vector quantity and its direction is towards the centre of the earth. As the value of g is not same everywhere, the weight of an object changes from place to place, though its mass is constant everywhere. Colloquially we use weight for both mass and weight and measure the weight in kilograms which is the unit of mass. But in scientific language when we say that Rajeev’s weight is 75 kg, we are talking about Rajeev’s mass. What we mean is that Rajeev’s weight is equal to the gravitational force on 75 kg mass. As Rajeev’s mass is 75 kg, his weight on earth is F = mg = 75 x 9.8 = 735 N. The weight of 1 kg mass is 1 x 9.8 = 9.8 N. Our weighing machines tell us the mass. The two scale balances in shops compare two weights i.e. two masses. 9  1. Will your weight remain constant as you go above Use your brain power ! the surface of the earth? 2. Suppose you are standing on a tall ladder. If your distance from the centre of the earth is 2R, what will be your weight? Solved Examples Example 1: If a person weighs 750 N on earth, how much would be his weight on the Moon given that moon’s mass is 1 of that of the earth and its radius is 1 of that of the earth ? 81 3.7 Given: Weight on earth = 750 N, M Ratio of mass of the earth (ME) to mass of the moon (MM) = E = 81 MM R Ratio of radius of earth (RE) to radius of moon (RM) = E = 3.7 RM Let the mass of the person be m kg m G ME 750 RE2 Weight on the earth = m g = 750 = \m=.................. (i) RE2 (G ME) m G MM Weight on Moon = using (i) RM2 750 RE2 G MM R2 M 1 = x = 750 E 2 x M = 750 x (3.7)2 x = 126.8 N (G ME) RM 2 RM ME 81 The weight on the moon is nearly 1/6th of the weight on the earth. We can write the weight on moon as mgm (gm is the acceleration due to gravity on the moon). Thus gm is 1/6th of the g on the earth. Do you know ? Gravitational waves Waves are created on the surface of water when we drop a stone into it. Similarly you must have seen the waves generated on a string when both its ends are held in hand and it is shaken. Light is also a type of wave called the electromagnetic wave. Gamma rays, X-rays, ultraviolet rays, infrared rays, microwave and radio waves are all different types of electromagnetic waves. Astronomical objects emit these waves and we receive them using our instruments. All our knowledge about the universe has been obtained through these waves. Gravitational waves are a very different type of waves. They have been called the waves on the fabric of space-time. Einstein predicted their existence in 1916. These waves are very weak and it is very difficult to detect them. Scientists have constructed extremely sensitive instruments to detect the gravitational waves emitted by astronomical sources. Among these, LIGO (Laser Interferometric Gravitational Wave Observatory) is the prominent one. Exactly after hundred years of their prediction, scientists detected these waves coming from an astronomical source. Indian scientists have contributed significantly in this discovery. This discovery has opened a new path to obtain information about the Universe. 10 Free fall Take a small stone. Hold it in your hand. Which forces are acting Try this on the stone? Now release the stone. What do you observe? What are the forces acting on the stone after you release it? We know that the force of gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying on it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands, the only force that acts on it is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due to the acceleration due to gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object and a buoy- ant force also acts on the object. Thus, true free fall is possible only in vacuum. For a freely falling object, the velocity on reaching the earth and the time taken for it can be calculated by using Newton’s equations of motion. For free fall, the initial velocity u = 0 and the acceleration a = g. Thus we can write the equations as v=gt For calculating the motion of an object thrown upwards, accelera- tion is negative, i.e. in a direction opposite to the velocity and is taken to s= 1 g t2 be – g. The magnitude of g is the same but the velocity of the object 2 decreases because of this -ve acceleration. The moon and the artificial satellites are moving only under the in- v2 = 2 g s fluence of the gravitational field of the earth. Thus they are in free fall. Do you know ? The value of g is the same for all objects at a given place on the earth. Thus, any two objects, irrespective of their masses or any other properties, when dropped from the same height and falling freely will reach the earth at the same time. Galileo is said to have performed an experiment around 1590 in the Italian city of Pisa. He dropped two spheres of different masses from the leaning tower of Pisa to demonstrate that both spheres reached the ground at the same time. When we drop a feather and a heavy stone at the same time from a height, they do not reach the earth at the same time. The feather experiences a buoyant force and a frictional force due to air and therefore floats and reaches the ground slowly, later than the heavy stone. The buoyant and frictional forces on the stone are much less than the weight of the stone and does not affect the speed of the stone much. Recently, scientists performed this experiment in vacuum and showed that the feather and stone indeed reach the earth at the same time. https://www.youtube.com/watch?v=eRNC5kcvINA 11  Solved Examples Example 1. An iron ball of mass 3 kg is Example 2. A tennis ball is thrown up and released from a height of 125 m and falls reaches a height of 4.05 m before coming freely to the ground. Assuming that the down. What was its initial velocity? How value of g is 10 m/s , calculate 2 much total time will it take to come down? (i) time taken by the ball to reach the Assume g = 10 m/s2 ground Given: For the upward motion of the ball, (ii) velocity of the ball on reaching the the final velocity of the ball = v = 0 ground Distance travelled by the ball = 4.05 m (iii) the height of the ball at half the time it acceleration a= - g = -10 m/s2 takes to reach the ground. Using Newton’s third equation of motion Given: m = 3 kg, distance travelled by the v2 = u2 + 2 a s ball s = 125 m, initial velocity of the ball = 0 = u2 + 2 (-10) x 4.05 u = o and acceleration a = g = 10 m/s2. \ u2 = 81 (i) Newton’s second equation of motion u = 9 m/s The initial velocity of the ball gives is 9 m/s 1 s=ut + at2 Now let us consider the downward 2 motion of the ball. Suppose the ball takes t 1 \ 125 = 0 t + x 10 x t = 5 t 2 2 seconds to come down. Now the initial 2 velocity of the ball is zero, u = 0. Distance 125 t2 = = 25 ,t=5s travelled by the ball on reaching the ground 5 = 4.05 m. As the velocity and acceleration The ball takes 5 seconds to reach the are in the same direction, ground. a = g=10 m/s (ii) According to Newton’s first equation According to Newton’s second equation of of motion final velocity = v = u + a t motion = 0 + 10 x 5 1 = 50 m/s s=ut + a t2 2 The velocity of the ball on reaching the 1 ground is 50 m/s 4.05 = 0 + 2 10 t2 5 (iii) Half time = t = = 2.5 s 2 4.05 Ball’s height at this time = s t2 = = 0.81 , t = 0.9 s 5 According to Newton’s second equation 1 The ball will take 0.9 s to reach the s=ut + a t2 ground. It will take the same time to go up. 2 1 Thus, the total time taken = 2 x 0.9 = 1.8 s s= 0+ 10 x (2.5)2 = 31.25 m. 2 Thus the height of the ball at half time = 125-31.25 = 93.75 m According to Newton’s law of gravitation, earth’s Use your brain power ! gravitational force is higher on an object of larger mass. Why doesn’t that object fall down with higher velocity as compared to an object with lower mass? 12 Gravitational potential energy We have studied potential energy in last standard. The energy stored in an object because of its position or state is called potential energy. This energy is relative and increases as we go to greater heights from the surface of the earth. We had assumed that the potential energy of an object of mass m, at a height h from the ground is mgh and on the ground it is zero. When h is small compared to the radius R of the earth, we can assume g to be constant and can use the above formula (mgh). But for large values of h, the value of g decreases with increase in h. For an object at infinite distance from the earth, the value of g is zero and earth’s gravitational force does not act on the object. So it is more appropriate to assume the value of potential energy to be zero there. Thus, for smaller distances, i.e. heights, the potential energy is less than zero, i.e. it is negative. GMm When an object is at a height h from the surface of the earth, its potential energy is - R+h here, M and R are earth’s mass and radius respectively. Escape velocity We have seen than when a ball is thrown upwards, its velocity decreases because of the gravitation of the earth. The velocity becomes zero after reaching a certain height and after that the ball starts falling down. Its maximum height depends on its initial velocity. According to Newton’s third equation of motion is v2 = u2+2as, v = the final velocity of the ball = 0 and a = - g u2 \ 0 = u2 + 2 (-g) s and maximum height of the ball = s = - 2g Thus, higher the initial velocity u, the larger is the height reached by the ball. The reason for this is that the higher the initial velocity, the ball will oppose the gravity of the earth more and larger will be the height to which it can reach. We have seen above that the value of g keeps decreasing as we go higher above the surface of the earth. Thus, the force pulling the ball downward, decreases as the ball goes up. If we keep increasing the initial velocity of the ball, it will reach larger and larger heights and above a particular value of initial velocity of the ball, the ball is able to overcome the downward pull by the earth and can escape the earth forever and will not fall back on the earth. This velocity is called escape velocity. We can determine its value by using the law of conservation of energy as follows. An object going vertically upwards from the surface of the earth, having an initial ve- locity equal to the escape velocity, escapes the gravitational force of the earth. The force of gravity, being inversely proportional to the square of the distance, becomes zero only at in- finite distance from the earth. This means that for the object to be free from the gravity of the earth, it has to reach infinite distance from the earth. i.e. the object will come to rest at in- finite distance and will stay there. For an object of mass m on the surface of earth at infinite distance from the earth 1 A. Kinetic energy = mv2esc A. Kinetic energy = 0 2 GMm GMm = 0 B. Potential energy = - B. Potential energy =- R 8 C. Total energy = E1 = Kinetic energy + Potential energy C. Total energy = E2 = Kinetic energy + 1 GMm potential energy = mv2esc - = 0 2 R 13 From the principle of conservation of energy Solved Examples E1 = E2 Example 1. Calculate the escape velocity on 1 mv2esc - GMm = 0 the surface of the moon given the mass and 2 R radius of the moon to be 7.34 x 1022 kg and 2 GM v esc = 2 1.74 x 106 m respectively. R Given: G = 6.67 x 10-11 N m2/kg2, mass of the vesc = 2 GM moon = M = 7.34 x 1022 kg and radius of the R moon = R= 1.74 x 106 m. = 2gR 2 GM Escape velocity = vesc = R = (2 x 9.8 x 6.4 x 106) = 11.2 km/s The spacecrafts which are sent to 2 x 6.67 x 10-11 x 7.34 x 1022 the moon or other planets have to have 1.74 x 106 their initial velocity larger than the escape = 2.37 km/s velocity so that they can overcome earth’s gravitational attraction and can travel to Escape velocity on the moon 2.37 km/s. these objects. Do you know ? Weightlessness in space Space travellers as well as objects in the spacecraft appear to be floating. Why does this happen? Though the spacecraft is at a height from the surface of the earth, the value of g there is not zero. In the space station the value of g is only 11% less than its value on the surface of the earth. Thus, the height of a spacecraft is not the reason for their weightlessness. Their weightlessness is caused by their being in the state of free fall. Though the spacecraft is not falling on the earth because of its velocity along the orbit, the only force acting on it is the gravitational force of the earth and therefore it is in a free fall. As the velocity of free fall does not depend on the properties of an object, the velocity of free fall is the same for the spacecraft, the travelers and the objects in the craft. Thus, if a traveller releases an object from her hand, it will remain stationary with respect to her and will appear to be weightless. Exercise 1. Study the entries in the following 2. Answer the following questions. table and rewrite them putting the a. What is the difference between mass and connected items in a single row. weight of an object. Will the mass and I II III weight of an object on the earth be same Mass m/s2 Zero at the as their values on Mars? Why? centre b What are (i) free fall, (ii) acceleration Weight kg Measure of inertia due to gravity (iii) escape velocity (iv) A c c e l e r a - Nm /kg Same in the entire 2 2 centripetal force ? tion due to universe gravity c. Write the three laws given by Kepler. Gravita- N Depends on height How did they help Newton to arrive at the tional con- inverse square law of gravity? stant 14 d. A stone thrown vertically upwards with d. An object thrown vertically upwards initial velocity u reaches a height ‘h’ reaches a height of 500 m. What was before coming down. Show that the its initial velocity? How long will the time taken to go up is same as the time object take to come back to the taken to come down. earth? Assume g = 10 m/s2 e. If the value of g suddenly becomes twice Ans: 100 m/s and 20 s its value, it will become two times more difficult to pull a heavy object along the e. A ball falls off a table and reaches floor. Why? the ground in 1 s. Assuming g = 10 m/s2, calculate its speed on reaching 3. Explain why the value of g is zero at the ground and the height of the the centre of the earth. table. 4. Let the period of revolution of a planet Ans. 10 m/s and 5 m at a distance R from a star be T. Prove f. The masses of the earth and moon that if it was at a distance of 2R from are 6 x 1024 kg and 7.4x1022 kg, the star, its period of revolution will be respectively. The distance between 8 T. them is 3.84 x 105 km. Calculate the 5. Solve the following examples. gravitational force of attraction a. An object takes 5 s to reach the between the two? ground from a height of 5 m on a Use G = 6.7 x 10-11 N m2 kg-2 planet. What is the value of g on the Ans: 2 x 1020 N planet? Ans: 0.4 m/s2 g. The mass of the earth is 6 x 1024 kg. b. The radius of planet A is half the The distance between the earth and radius of planet B. If the mass of A is the Sun is 1.5x 1011 m. If the MA, what must be the mass of B so gravitational force between the two that the value of g on B is half that of is 3.5 x 1022 N, what is the mass of its value on A? the Sun? Ans: 2 MA Use G = 6.7 x 10-11 N m2 kg-2 c. The mass and weight of an object on Ans: 1.96 x 1030 kg earth are 5 kg and 49 N respectively. Project: What will be their values on the Take weights of five of your friends. moon? Assume that the acceleration Find out what their weights will be on the due to gravity on the moon is 1/6th moon and the Mars. of that on the earth. ²²² Ans: 5 kg and 8.17 N 15  2.Periodic Classification of Elements Ø Elements and their classification Ø Dobereiner’s Triads Ø Newlands Law of Octaves Ø Mendeleev’s Periodic Table Ø Modern Periodic Table 1. What are the types of matter? 2. What are the types of elements? Can you recall? 3. What are the smallest particles of matter called? 4. What is the difference between the molecules of elements and compounds? Classification of elements We have learnt in the previous standards that all the atoms of an element are of only one type. Today 118 elements are known to the scientific world. However, around year 1800 only about 30 elements were known. More number of elements were discovered in the course of time. More and more information about the properties of these elements was gathered. To ease the study of such a large number of elements, scientists started studying the pattern if any, in the vast information about them. You know that in the initial classification elements were classified into the groups of metals and nonmetals. Later on another class of elements called metalloids was noticed. As the knowledge about elements and their properties went on increasing different scientists started trying out different methods of classification. Dobereiner’s Triads In the year 1817 a German scientist Dobereiner suggested that properties of elements are related to their atomic masses. He made groups of three elements each, having similar chemical properties and called them triads. He arranged the three elements in a triad in an increasing order of atomic mass and showed that the atomic mass of the middle element was approximately equal to the mean of the atomic masses of the other two elements. However, all the known elements could not be classified into the Dobereiner’s triads. Sr. Triad Element -1 Element - 2 Element - 3 No. Actual atomic a+c Actual Actual atomic Mean = mass(a) 2 atomic mass mass (c) 1 Li, Na, Lithium (Li) Sodium 6.9 + 39.1 = 23.0 (Na) Potassium (K) K 6.9 2 23.0 39.1 2 Ca, Sr, Calcium (Ca) Strontium 40.1+ 137.3 (Sr) Barium (Ba) Ba 40.1 2 = 88.7 87.6 137.3 3 Cl, Br, I Chlorine (Cl) Bromine 35.5 + 126.9 = 81.2 (Br) Iodine (I) 35.5 2 79.9 126.9 2.1 Dobereiner’s Triads Can you tell? Identify Dobereiner’s triads from the following groups of elements having similar chemical properties. 1. Mg (24.3), Ca (40.1), Sr (87.6) 2. S (32.1), Se (79.0), Te (127.6) 3. Be (9.0), Mg (24.3), Ca (40.1) 16 Newlands’ Law of Octaves The English scientist John Newlands Do you know ? correlated the atomic masses of elements to their properties in a different way. In the In the Indian music system there year 1866 Newlands arranged the elements are seven main notes, namely, Sa, Re, known at that time in an increasing order Ga, Ma, Pa, Dha, Ni, and their collection of their atomic masses. It started with the is called ‘Saptak’. The frequency of the lightest element hydrogen and ended up notes goes on increasing from ‘Sa’ to ‘Ni’. Then comes, the ‘Sa’ of the upper with thorium. He found that every eighth ‘Saptak’ at the double the frequency of element had properties similar to those of the original ‘Sa’. It means that notes the first. For example, sodium is the eighth repeat after completion of one ‘Saptak’. element from lithium and both have similar The seven notes in the western music properties. Also, magnesium shows are Do, Re, Mi, Fa, So, La, Ti. similarity to beryllium and chlorine shows The note ‘Do’ having double the similarity with fluorine. Newlands original frequency comes again at the compared this similarity with the octaves eighth place. This is the octave of in music. He called the similarity observed western notes. Music is created by the in the eighth and the first element as the variety in the use of these notes. Law of octaves. Musical Do Re Mi Fa So La Ti Note (Sa) (Re) (Ga) (Ma) (Pa) (Dha) (Ni) H Li Be B C N O F Na Mg Al Si P S Elements Cl K Ca Cr Ti Mn Fe Co &Ni Cu Zn Y In As Se Br Rb Sr Ce & La Zr 2.2 Newlands’ Octaves Many limitation were found in Newlands’ octaves. This law was found to be applicable only up to calcium. Newlands fitted all the known elements in a table of 7 X 8 that is 56 boxes. Newlands placed two elements each in some boxes to accommodate all the known elements in the table. For example, Co and Ni, Ce and La. Moreover, he placed some elements with different properties under the same note in the octave. For example, Newlands placed the metals Co and Ni under the note ‘Do’ along with halogens, while Fe, having similarity with Co and Ni, away from them along with the nonmetals O and S under the note ‘Ti’. Also, Newlands’ octaves did not have provision to accommodate the newly discovered elements. The properties of the new elements discovered later on did not fit in the Newlands’ law of octaves. Mendeleev’s Periodic table The Russian scientist Dmitri Mendeleev developed the periodic table of elements during the period 1869 to 1872 A.D. Mendeleev’s periodic table is the most important step in the classification of elements. Mendeleev considered the fundamental property of elements, namely, the atomic mass, as standard and arranged 63 elements known at that time in an increasing order of their atomic masses. Then he transformed this into the periodic table of elements in accordance with the physical and chemical properties of these elements. 17  Mendeleev organized the periodic table on the basis of the chemical and physical properties of the elements. These were the molecular formulae of hydrides and oxides of the elements, melting points, boiling points and densities of the elements and their hydrides and oxides. Mendeleev found that the elements with similar physical and chemical properties repeat after a definite interval. On the basis of this finding Mendeleev stated the following periodic law. Properties of elements are periodic function of their atomic masses. The vertical columns in the Mendeleev’s periodic table are called groups while the horizontal rows are called periods. Se- Group I Group II Group III Group IV Group V Group Group VII Group VIII ries - - - RH4 RH3 VI RH - RO2 RO RO 2 3 RO2 R2O5 RH2 R2O7 RO4 RO3 1 H=1 2 Li=7 Be=9.4 B=11 C=12 N=14 O=16 F=19 3 Na=23 Mg=24 Al=27.3 Si=28 P=31 S=32 Cl= 35.5 4 K=39 Ca=40 - = 44 Ti= 48 V=51 Cr= 52 Mn=55 Fe=56, Co=59 Ni=59, Cu=63 5 (Cu=63) Zn=65 -=68 -=72 As=75 Se=78 Br=80 6 Rb=85 Sr=87 ?Yt=88 Zr=90 Nb=94 Mo=96 -=100 Ru=104,Rh=104 Pd=106,Ag=108 7 (Ag=108) Cd=112 In=113 Sn=118 Sb=122 Te=125 J=127 8 Cs=133 Ba=137 ?Di=138 ?Ce=140 - - - ---- 9 (-) - - - - - - 10 - - ?Er=178 ?La=180 Ta=182 W=184 - Os=195, Ir=197 Pt=198, Au=199 11 (Au=199) Hg=200 Ti=204 Pb=207 Bi= 208 - - 12 - - - Th=231 - U=240 - --- 2.3 Mendeleev’s Periodic Table (The general molecular formulae of compounds shown as R2O, R2O3, etc. in the upper part of Mendeleev’s periodic table, are written as R2O, R2O3,etc. in the present system.) Introduction to scientist Dmitri Mendeleev (1834-1907) was a professor in the St. Petersburg University. He made separate card for every known element showing its atomic mass. He arranged the cards in accordance with the atomic masses and properties of the elements which resulted in the invention of the periodic table of elements. Dmitri Mendeleev 18  1. There are some vacant places in the Mendeleev’s periodic table. Think about it In some of these places the atomic masses are seen to be predicted. Enlist three of these predicted atomic masses along with their group and period. 2. Due to uncertainty in the names of some of the elements, a question mark is indicated before the symbol in the Mendeleev’s periodic table. What are such symbols? Merits of Mendeleev’s periodic table Science is progressive. There is a freedom in science to revise the old inference by using more advanced means and methods of doing experiments. These characteristics of science are clearly seen in the Mendeleev’s periodic table. While applying the law that the properties of elements are a periodic function of their atomic masses, to all the known elements, Mendeleev arranged the elements with a thought that the information available till then was not final but it could change. As a result of this, Mendeleev’s periodic table demonstrates the following merits. 1. Atomic masses of some elements were revised so as to give them proper place in the periodic table in accordance with their properties. For example, the previously determined atomic mass of beryllium, 14.09, was changed to the correct value 9.4, and beryllium was placed before boron. 2. Mendeleev kept vacant places in the periodic table for elements not discovered till then. Three of these unknown elements were given the names eka-boron, eka-aluminum and eka-silicon from the known neighbours and their atomic masses were indicated as 44, 68 and 72, respectively. Not only this but their properties were also predicted. Later on these elements were discovered and named as scandium (Sc), gallium (Ga) and germanium (Ge) respectively. The properties of these elements matched well with those predicted by Mendeleev. See table 2.4. Due to this success all were convinced about the importance of Mendeleev’s periodic table and this method of classification of elements was accepted immediately. Property eka- aluminum(E) (Mendeleev’s prediction) Gallium (Ga)(actual) 1. Atomic mass 68 69.7 2. Density (g/cm3) 5.9 5.94 3. Melting point(0C) Low 30.2 4. Formula of chloride ECl3 GaCl3 5. Formula of oxide E2O3 Ga2O3 6. Nature of oxide Amphoteric oxide Amphoteric oxide 2.4 Actual and predicted properties of gallium. 3. There was no place reserved for noble gases in Mendeleev’s original periodic table. However, when noble gases such Use your brain power ! as helium, neon and argon were Chlorine has two isotopes,viz, C1-35 and C1- discovered towards the end of 37. Their atomic masses are 35 and 37 respectively. nineteenth century, Mendeleev created Their chemical properties are same. Where should the ‘ zero’ group without disturbing the these be placed in Mendeleev’s periodic table? In original periodic table in which the different places or in the same place? noble gases were fitted very well. 19 Demerits of Mendeleev’s periodic table 1. The whole number atomic mass of the elements cobalt (Co) and nickel (Ni) is the same. Therefore there was an ambiguity regarding their sequence in Mendeleev’s periodic table. 2. Isotopes were discovered long time after Mendeleev put forth the periodic table. As isotopes have the same chemical properties but different atomic masses, a challenge was posed in placing them in Mendeleev’s periodic table. 3. When elements are arranged in an increasing order of atomic masses, the rise in atomic mass does not appear to be uniform. It was not possible, therefore, to predict how many elements could be discovered between two heavy elements. 4. Position of hydrogen : Hydrogen shows similarity with halogens (group VII). For Compounds of H Compounds of Na example, the molecular formula of HCl NaCl hydrogen is H2 while the molecular H2O Na2O formulae of fluorine and chlorine are F2 H2S Na2S and Cl2, respectively. In the same way, there is a similarity in the chemical 2.5 Similarity in hydrogen and alkali metals properties of hydrogen and alkali metals (group I). There is a similarity in the Element Compounds Compounds molecular formulae of the compounds of (Molecular with metals with nonmetals hydrogen alkali metals (Na, K, etc.) formula) formed with chlorine and oxygen. On H2 NaH CH4 considering the above properties it can not Cl2 NaCl CCl4 be decided whether the correct position of hydrogen is in the group of alkali metals 2.6 : Similarity in hydrogen and halogens (group I) or in the group of halogens (group VII). Use your brain power ! 1. Write the molecular formulae of oxides of the following elements by referring to the Mendeleev’s periodic table. Na, Si, Ca, C, Rb, P, Ba, Cl, Sn. 2. Write the molecular formulae of the compounds of the following elements with hydrogen by referring to the Mendeleev’s periodic table. C, S, Br, As, F, O, N, Cl Modern Periodic Law The scientific world did not know anything about the interior of the atom when Mendeleev put forth the periodic table. After the discovery of electron, scientists started exploring the relation between the electron number of an atom and the atomic number. The atomic number in Mendeleev’s periodic table only indicated the serial number of the element. In 1913 A.D. the English scientist Henry Moseley demonstrated, with the help of the experiments done using X-ray tube, that the atomic number (Z) of an element corresponds to the positive charge on the nucleus or the number of the protons in the nucleus of the atom of that element. This revealed that ‘atomic number’ is a more fundamental property of an element than its atomic mass. Accordingly the statement of the modern periodic law was stated as follows: Properties of elements are a periodic function of their atomic numbers. 20 Modern periodic table : long form of the periodic table The classification of elements resulting from an arrangement of the elements in an increasing order of their atomic numbers is the modern periodic table. The properties of elements can be predicted more accurately with the help of the modern periodic table formed on the basis of atomic numbers. The modern periodic table is also called the long form of the periodic table. In the modern periodic table the elements are arranged in accordance with their atomic number. (see table 2.7) As a result, most of the drawbacks of Mendeleev’s periodic table appear to be removed. However, the ambiguity about the position of hydrogen is not removed even in the modern periodic table. We have seen in the previous standard that the electronic configuration Use your brain power ! of an atom, the way in which the electron Position of the elements in the periodic are distributed in the shells around the elements...... nucleus, is determined by the total number of electrons in it; and the total 1. How is the problem regarding the number of electrons in an atom is same position of cobalt (59Co) and nickel as the atomic number. The relation (59Ni) in Mendeleev’s periodic table resolved in modern periodic table? between the atomic number of an element 35 37 and its electronic configuration is clearly 2. How did the position of 17Cl and 17C1 seen in the modern periodic table. get fixed in the modern periodic ta- ble? Structure of the Modern Periodic Table The modern periodic table contains 3. Can there be an element with atomic seven horizontal rows called the periods mass 53 or 54 in between the two 1 to 7. Similarly, the eighteen vertical elements, chromium 52 24 Cr and columns in this table are the groups 1 to manganese 5525 Mn ? 18. The arrangement of the periods and 4. What do you think? Should hydrogen groups results into formation of boxes. be placed in the group 17 of halogens Atomic numbers are serially indicated in or group 1 of alkali metals in the the upper part of these boxes. Each box modern periodic table? corresponds to the place for one element. Apart from these seven rows, two rows are shown separately at the bottom of the periodic table. These are called lanthanide series and actinide series, respectively. There are 118 boxes in the periodic table including the two series. It means that there are 118 places for elements in the modern periodic table. Very recently formation of a few elements was established experimentally and thereby the modern periodic table is now completely filled. All the 118 elements are now discovered. The entire periodic table is divided into four blocks,viz, s-block, p-block, d-block and f-block. The s-block contains the groups 1 and 2. The groups 13 to 18 constitute the p-block. The groups 3 to 12 constitute the d-block, while the lanthanide and actinide series at the bottom form the f-block. The d-block elements are called transition elements. A zig-zag line can be drawn in the p-block of the periodic table. The three traditional types of elements can be clearly shown in the modern periodic table with the help of this zig-zag line. The metalloid elements lie along the border of this zig-zag line. All the metals lie on the left side of the zig-zag line while all the nonmetals lie on the right side. 21 Modern periodic Table and electronic Characteristics of Groups and Configuration of Elements Periods Within a period the neighbouring elements The characteristics of the groups differ slightly in their properties while distant and periods in the periodic table are elements differ widely in their properties. understood by comparison of the Elements in the same group show similarity properties of the elements. Various and gradation in their properties. These properties of all the elements in a characteristics of the groups and periods in the group show similarity and gradation. modern periodic table are because of the However, the properties of elements electronic configuration of the elements. It is change slowly while going from one the electronic configuration of an element end to the other (for example, from which decides the group and the period in which left to right) in a particular period. it is to be placed. Groups and electronic configuration 1. Go through the modern periodic table (table no. 2.7) and write the names one below the other of the elements of group 1. Can you tell? 2. Write the electronic configuration of the first four elements in this group. 3. Which similarity do you find in their configuration? 4. How many valence electrons are there in each of these elements? You will find that the number of valence electrons in all these elements from the group 1, that is, the family of alkali metals, is the same. Similarly, if you look at the elements from any other group, you will find the number of their valence electrons to be the same. For example, the elements beryllium (Be), magnesium (Mg) and calcium (Ca) belong to the group 2, that is, the family of alkaline earth metals. There are two electrons in their outermost shell. Similarly, there are seven electrons in the outermost shell of the elements such as fluorine (F) and chlorine (Cl) from the group 17, that is, the family of halogens. While going from top to bottom within any group, one electronic shell gets added at a time. From this we can say that the electronic configuration of the outermost shell is characteristic of a particular group. However, as we go down a group, the number of shells goes on increasing. In the modern periodic table....... Do you know ? 1. Elements are arranged in an increasing order of their atomic numbers. Uranium has atomic 2. Vertical columns are called groups. There are number 92. All the elements 18 groups. The chemical properties of the beyond uranium (with atomic elements in the same group show similarity numbers 93 to 118) are and gradation. manmade. All these elements 3. Horizontal rows are called periods. There are are radioactive and unstable, in all 7 periods. The properties of elements and have a very short life. change slowly from one end to the other in a period. 22  s- block 2.7 Table : Modern Periodic Table p- block Atomic No. Symbol Name Atomic mass d- block * f- block # Periods and electronic configuration 1. On going through the modern periodic table it is seen that the Can you tell? elements Li, Be, B, C, N, O, F and Ne belong to the period-2. Write down electronic configuration of all of them. 2. Is the number of valence electrons same for all these elements? 3. Is the number of shells the same in these ? You will find that the number of valence 1 2 13 14 15 16 17 18 electrons is different in 1 H He 1 2 these elements. Li Be B C N O F Ne However, the number 2 2,1 2,2 2,3 2,4 2,5 2,6 2,7 2,8 of shells is the same. 3 Na Mg Al Si P S Cl Ar 2,8,1 2,8,2 2,8,3 2,8,4 2,8,5 2,8,6 2,8,7 2,8,8 You will also find that, K Ca while going from left to 4 2,8,8,1 2,8,8,2 right, within the period, Sr 5 the atomic number Ba increases by one at a 6 time and the number of Ra valence electrons also 7 increases by one at a time. Potassium atom Argon atom 2.8 New period new shell 23  We can say that the elements with the same number of shells occupied by electrons belong to the same period. The elements in the second period, namely, Li, Be, B, C, N, O, F and Ne have electrons in the two shells, K and L. The elements in the third period, namely, Na, Mg, Al, Si, P, S, Cl and Ar have electrons in the three shells; K, L and M. Write down the electronic configuration of these elements and confirm. In the modern periodic table, electrons are filled in the same shell while going along a period from left to right, and at the beginning of the next period a new electron shell starts filling up (See the table 2.8). The number of elements in the first three periods is determined by the electron capacity of the shells and the law of electron octet. (See the Table 2.9) 1. What are the values of ‘n’ for the shells K, L and M? Can you recall ? 2. What is the maximum number of electrons that can be accommodated in a shell? Write the formula. 3. Deduce the maximum electron capacity of the shells K, L and M. As per the electron holding capacity of Shell n 2n2 Electron Capacity shells 2 elements are present in the first period and 8 elements in the second period. The third K 1 2x12 2 period also contains only eight elements due to L 2 2x22 8 the law of electron octet. There are few more factors which control the filling of electrons in M 3 2x32 18 the subsequent periods which will be considered N 4 2x42 32 in the next standards. 2.9 Electron Capacity of Electron shells The chemical reactivity of an element is determined by the number of valence electrons in it and the shell number of the valence shell. The information on these points is obtained from the position of the element in the periodic table. That is, the modern periodic table has proved useful for study of elements. Periodic trends in the modern periodic table When the properties of elements in a period or a group of the modern periodic table are compared, certain regularity is observed in their variations. It is called the periodic trends in the modern periodic table. In this standard we are going to consider the periodic trends in only three properties of elements; namely, valency, atomic size and metallic- nonmetallic character. Valency : You have learnt in the previous standard that the valency of an element is determined by the number of electrons present in the outermost shell of its atoms, that is, the valence electrons. 1. What is the relationship between the electronic configuration Think about it of an element and its valency? 2. The atomic number of beryllium is 4 while that of oxygen is 8. Write down the electronic configuration of the two and deduce