I PUC Physics Midterm Exam 2024 Model Paper PDF

Government Independent PU College, TT-0134, Kumsi Midterm Exam 2024 Model Question Paper – 01 Subject Code:33 First PUC Total Marks:70 Time : 3hou...

Government Independent PU College, TT-0134, Kumsi Midterm Exam 2024 Model Question Paper – 01 Subject Code:33 First PUC Total Marks:70 Time : 3hour Physics No. of Questions: 45 General Instructions: 1. All parts are compulsory. 2. Only the first written answers will be considered for Part – A. 3. Answer without relevant diagram / figure / circuit wherever necessary will not carry any marks. 4. Direct answers to the numerical problems without detailed solutions will not carry any marks. Part-A I. Pick the correct option among the four given options for all of the following questions: 15 1  15 1. The respective number of significant figures for the numbers 82.38, 82.380 and 0.00238 (A) 4, 5, 3 (B) 4, 4, 3 (C) 4, 5, 5 (D) 4, 4, 5 2. The physical quantities are listed in column I and their dimensional formulae are listed in column II. Identify the correct match. Column I Column II (i) Force (a)  M 1L2T 3  (ii) Work (b)  M 1LT 1 2  (iii) Power (c)  M 1L2T 2  (A) (i) – (c), (ii) – (b), (iii) – (a) (B) (i) – (b), (ii) – (a), (iii) – (c) (C) (i) – (b), (ii) – (c), (iii) – (a) (D) (i) – (a), (ii) – (c), (iii) – (b) 3. The slope of velocity-time graph represents (A) impulse (B) velocity (C) displacement (D) acceleration 4. Statement I: For an object moving with uniform motion, the v-t graph is a straight line parallel to time axis. Statement II: For uniform motion, velocity is the same as the average velocity at all instants. (A) Both the statements are true and statement II is the correct explanation of statement I. (B) Both the statements are true and statement II is not the correct explanation of statement I. (C) Statement I is true but Statement II is false. (D) Statement I is false but statement II is true.   5. If the two vectors P and Q are in the same direction, then the magnitude of their resultant is (A) P  Q (B) P  Q (C) 0 (D) P2  Q2 6. In uniform circular motion, the word ‘uniform’ refers to (A) constant speed (B) constant velocity (C) same direction (D) constant acceleration Government Independent PU College, Kumsi, Shivamogga Page 1  7. Inertia is that property of a body by virtue of which the body is (A) unable to change by itself the state of rest. (B) unable to change by itself the state of uniform motion. (C) unable to change by itself the direction of motion. (D) unable to change by itself the state of rest or of uniform motion. 8. The rate of change of momentum is directly proportional to (A) force applied (B) impulse (C) momentum (D) acceleration 9. In the case of conservative force (i) Work done is independent of path. (ii) Work done in a closed loop is zero. (iii) Work done against conservative force is stored in the form of potential energy. (A) only (i) is correct (B) (i) and (ii) are correct (C) (ii) and (iii) are correct (D) (i), (ii) and (iii) are correct 10. In a system, during elastic collision (A) Kinetic energy is conserved and momentum is not conserved. (B) Kinetic energy is conserved and momentum is also conserved. (C) Kinetic energy is not conserved and momentum is not conserved. (D) Kinetic energy is not conserved and momentum is conserved. 11. Examples for cross product are (A) angular momentum and torque (B) Angular momentum and workdone (C) kinetic energy and power (D) power and torque 12. Centre of mass of two particles of mass m1 and m2 located at x1 and x2 respectively along x-axis is at m1 x1  m2 x2 m1 x1  m2 x2 x1  x2 m1  m2 (A) x  (B) x  (C) x  (D) x  m1  m2 x1  x2 m1  m2 x1  x2 13. Kepler’s second law of planetary motion is based on (A) Newton’s second law of motion (B) Newton’s universal law of gravitation (C) Conservation of linear momentum (D) Conservation of angular momentum 14. The mass of a planet is twice the mass of earth and diameter is same as that of earth, then the acceleration due to gravity on the planet’s surface is g g (A) (B) 2g (C) (D) 2g 2 2 15. The escape speed from the surface of the earth is (A) 11.2 ms 1 (B) 11.2 kms 1 (C) 10.2 ms 1 (D) 10.2 kms 1 Government Independent PU College, Kumsi, Shivamogga Page 2 II. Fill in the blanks by choosing the appropriate answer given in the bracket for all of the following questions: 5 1  5 (tension, zero, acceleration, infinity, negative, workdone) 16. The average change of velocity per unit time is called __________________. 17. The magnitude of unit vector is equal to ______________. 18. For a stone rotated in a circle by a string, the centripetal force is provided by ________ in the string. 19. Area under the curve of force - displacement graph gives ______________. 20. The total energy of an circularly orbiting satellite is _____________. Part-B III. Answer any FIVE of the following questions: 5  2  10 21. Write the condition for equality of two vectors. 22. Define projectile motion. 23. Define impulse. Mention its SI unit. 24. Mention the conditions for equilibrium of a particle. 25. Write any two examples for scalar product. 26. Calculate the radius of gyration of a circular disc rotating about an axis along it’s diameter. 27. State Newton’s universal law of gravitation. 28. Mention the expression for acceleration due to gravity above the surface of the earth and discuss the variation. Part-C IV Answer any FIVE of the following questions: 5  3  15 29. List the fundamental quantities and their unit in SI system. 30. Write the three kinematic equations of motion for an object under free fall. 31. Derive an expression for Horizontal range of a projectile. 32. State and explain Newton’s third law of motion. 33. State and explain work-energy theorem for constant force. 34. Compare the physical quantities of linear motion and rotational motion about a fixed axis. 35. Obtain an expression for total energy of an orbiting around the earth. 36. Estimate the period of revolution of satellite very close to surface of the earth. Given : Radius of the earth RE  6400 km Part - D V Answer any THREE of the following questions: 3  5  15 1 2 37. What is v - t graph? Derive x  v0t  at using v - t graph. 2 38. Obtain the expression for centripetal acceleration for a particle executing uniform circular motion. Government Independent PU College, Kumsi, Shivamogga Page 3  39. (a) State laws of kinetic friction. (b) List the methods of reducing friction. 40. Verify the law of conservation of mechanical energy in the case of freely falling body. 41. Define angular momentum of a particle. Prove that the time rate of change of angular momentum is equal to torque acting on the particle. VI Answer any TWO of the following: 2  5  10 42. Rain is falling vertically with a speed of 30ms-1. A women rides bicycle with a speed of 10ms -1 in the north south direction. What is the direction in which she should hold the umbrella? 43. A circular racetrack of radius 300 m is banked at an angle of 15°. If the coefficient of friction between the wheels of a race-car and the road is 0.2, what is the (a) optimum speed of the racecar to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping ? 44. A pump on the ground floor of a building can pump up water to fill a tank of volume 30m3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump ? 45. A 10kg wheel is given an acceleration of 20 rad s 2 by an applied torque of 2 Nm. Calculate (a) Moment of inertia. (b) Radius of gyration. Government Independent PU College, Kumsi, Shivamogga Page 4  Government Independent PU College, TT-0134, Kumsi Midterm Exam 2024 Model Question Paper – 02 Subject Code:33 First PUC Total Marks:70 Time : 3hour Physics No. of Questions: 45 General Instructions: 1. All parts are compulsory. 2. Only the first written answers will be considered for Part – A. 3. Answer without relevant diagram / figure / circuit wherever necessary will not carry any marks. 4. Direct answers to the numerical problems without detailed solutions will not carry any marks. Part-A I. Pick the correct option among the four given options for all of the following questions: 15 1  15 1. Which of the following pairs of physical quantities have same dimensions? (A) Force and Power (B) Torque and Energy (C) Torque and Power (D) Force and Torque 2. The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give (A) 2.74 and 2.73 (B) 2.74 and 2.74 (C) 2.75 and 2.73 (D) 2.75 and 2.74 3. For an object under free fall (A) initial velocity is zero and have constant negative acceleration. (B) final velocity is zero and have constant negative acceleration (C) initial velocity is non-zero and have constant positive acceleration (D) initial velocity is zero and have zero acceleration 4. The maximum value horizontal range of a projectile is, 2v02 v02 v02 v (A) (B) (C) (D) 0 g 2g g g  5. The quantities related to vector A making an angle  with x-axis are listed in column I and their values are listed in column II. Identify the correct match. Column I Column II (i) x  component (a) A sin  (ii) y  component (b) Ax2  Ay2 (iii) Magnitude (c) A cos  (A) (i) – (c), (ii) – (a), (iii) – (b) (B) (i) – (b), (ii) – (a), (iii) – (c) (C) (i) – (b), (ii) – (c), (iii) – (a) (D) (i) – (a), (ii) – (c), (iii) – (b) 6. A passenger getting down from a moving bus, falls in the direction of the motion of the bus. This is an example for (A) second law of motion (B) third law of motion (C) inertia of rest (D) inertia of motion Government Independent PU College, Kumsi, Shivamogga Page 1  7. A body of mass m moving in a circular path of radius R with a uniform velocity v, experiences the centripetal force given by mv m2v mv mv 2 (A) (B) (C) (D) R R R2 R 8. The commercial unit of power is horse power. Identify the correct statement: (A) 1hp  746W (B) 1hp  764W mv mv 2 (C) (D) R2 R 9. The A, B and C curves in the graph represents the variation of different energies in a spring. Identify the correct statement. (A) A-Kinetic energy, B-Potential energy and C-Total energy (B) A-Kinetic energy, C-Potential energy and B-Total energy (C) C-Kinetic energy, B-Potential energy and A-Total energy (D) B-Kinetic energy, A-Potential energy and C-Total energy 10. A rigid body is said to be in partial equilibrium when it is in (A) Translational equilibrium only (B) Rotational equilibrium only (C) Either translational equilibrium or rotational equilibrium (D) Neither translational equilibrium nor rotational equilibrium 11. The torque acting on a system is zero, then the constant among the following is (A) force (B) impulse (C) linear momentum (D) angular momentum       12. A , B and C are three vectors and A  B  C then   (i) C is perpendicular to A   (ii) C is perpendicular to B    (iii) C is perpendicular to A  B   (A) only (i) is correct (B) (i) and (ii) are correct (C) (i) and (iii) are correct (D) (i), (ii) and (ii) are correct 13. The gravitational force between two bodies does not depend upon (A) product of their masses (B) separation between them (C) sum of their masses (D) universal gravitational constant 14. The value of acceleration due to gravity on the surface of the earth (A) is maximum at the poles (B) is maximum at the equator (C) is minimum at the poles (D) remains constant everywhere 15. The orbital velocity of the satellite near the surface of the earth is given by (A) gRE (B) 2 gRE (C) g 2 RE gRE (D) 2 Government Independent PU College, Kumsi, Shivamogga Page 2 II. Fill in the blanks by choosing the appropriate answer given in the bracket for all of the following questions: 5 1  5 (escape speed, energy, centroid, work done, velocity, trailing) 16. The ______________ zeros in a number with a decimal point are significant. 17. The momentum of an object is in the direction of __________. 18. The product of component of the force in the direction of the displacement and the magnitude of this displacement is called _____________. 19. Three particles of equal masses, the centre of mass exists at the _____________ of the triangle formed by these particles. 20. The minimum speed required for an object to reach infinity is called ____________. Part-B III. Answer any FIVE of the following questions: 5  2  10 21. Name the SI units of the following: (a) Plane angle (b) Solid angle 22. Define instantaneous acceleration. 23. Mention any two factors on which the centripetal acceleration depends. 24. Mention the expression for maximum velocity with which a vehicle can safely move on a curved banked road. 25. A cricket ball of mass 500g is moving with a speed of 36 kmph. It is reflected back with the same speed. What is the impulse applied on it? 26. Mention the expression for workdone by a variable force. 27. Define potential energy. Mention its SI unit. 28. State Kepler’s law of periods. Part-C IV Answer any FIVE of the following questions: 5  3  15 29. Obtain the expression v  v0  at by graphical method. 30. Derive an expression for maximum height of a projectile. 31. Write a note on velocity of an object in a plane. 32. List the advantageous of rolling friction. 33. Obtain an expression for potential energy stored in a spring.       34. A force F  3i  4 j  5k N acts on a particle displaces through x  5i  4 j  3k m. Calculate the work done by the force. Government Independent PU College, Kumsi, Shivamogga Page 3  35. State and explain the law of conservation of angular momentum. 36. Obtain an expression for escape velocity from the surface of the earth. Part - D V Answer any THREE of the following questions: 3  5  15   37. Find the magnitude and direction of the resultant of two vectors A and B in terms of their magnitudes and angle  between them.   38. State Newton’s second law of motion and hence show that F  ma. 39. (a) Define instantaneous power. -1 (b) Derive an expression for power. -3 (c) Mention the commercial unit of electrical power. -1 40. (a) Explain the condition for translational equilibrium of rigid body. -2 (b) Explain the condition for rotational equilibrium of rigid body. -3 41. Obtain an expression for acceleration due to gravity on the surface of the earth. VI Answer any TWO of the following: 2  5  10 42. A bullet travelling with a velocity of 16ms -1 penetrates a tree trunk and comes to rest in 0.4m. Find the time taken during the retardation. 43. A cricket ball is thrown at a speed of 62 ms -1 in the direction of 450 with the horizontal. Calculate : a) The time of flight. b) The time taken to reach maximum height. c) The range of projection. 44. Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released. 45. The angular speed of a motor wheel is increased from 1200rpm to 3120rpm in 16s. (a) What is it’s angular acceleration, assuming the acceleration to be uniform? (b) How many revolutions does the engine make during this time? Government Independent PU College, Kumsi, Shivamogga Page 4  Government Independent PU College, TT-0134, Kumsi Midterm Exam 2024 Model Question Paper – 03 Subject Code:33 First PUC Total Marks:70 Time : 3hour Physics No. of Questions: 45 General Instructions: 1. All parts are compulsory. 2. Only the first written answers will be considered for Part – A. 3. Answer without relevant diagram / figure / circuit wherever necessary will not carry any marks. 4. Direct answers to the numerical problems without detailed solutions will not carry any marks. Part-A I. Pick the correct option among the four given options for all of the following questions: 15 1  15 1. The ratio of length of the arc to its radius is called (A) Solid angle (B) Plane angle (C) Work (D) Power 2. The physical quantities are listed in column I and their SI units are listed in column II. Identify the correct match. Column I Column II (i) Force (a) Nm (ii) Work (b) Nms 1 (iii) Power (c) Kgms 2 (A) (i) – (c), (ii) – (a), (iii) – (b) (B) (i) – (b), (ii) – (a), (iii) – (c) (C) (i) – (b), (ii) – (c), (iii) – (a) (D) (i) – (a), (ii) – (c), (iii) – (b) 3. For an object moving with uniform acceleration, Stopping distance is directly proportional to (A) initial velocity (B) square of initial velocity (C) acceleration (D) square root of initial velocity 4. For an object moving with uniform velocity, identify the wrong statement: (A) Velocity is same as the average velocity at all instant. (B) Instantaneous acceleration is zero. (C) Instantaneous velocity is zero. (D) In equal interval of time object covers equal displacement. 5. Velocity – time graph of an object in motion is parallel to the time axis. The acceleration of the object is, (A) negative (B) positive (C) zero (D) non-uniform  6. The magnitude of A  Ax i  Ay j  Az k is (A) Ax2  Ay2  Az2 (B) Ax2  Ay2  Az2 (C) Ax  Ay  Az (D) Ax  Ay  Az Government Independent PU College, Kumsi, Shivamogga Page 1  7. Statement I: The path of a projectile is a parabola. Statement II: The vertical component of velocity of a projectile changes at constant acceleration. (A) Both the statements are true and statement II is the correct explanation of statement I. (B) Both the statements are true and statement II is not the correct explanation of statement I. (C) Statement I is true but Statement II is false. (D) Statement I is false but statement II is true. 8. A body is said to be in equilibrium if all the forces acting on it (A) are in the same direction (B) are equal in magnitude (C) have zero resultant (D) have non-zero resultant 9. When there is no friction between the road and the tyres, the safe limit of maximum velocity is (A) v  Rg tan  (B) v  s Rg (C) v  s Rg tan  (D) v  Rg 10. If a body is released from certain height, during its free fall, (A) its potential energy increases and kinetic energy decreases. (B) its kinetic energy increases and potential energy decreases. (C) both kinetic energy and potential energy decreases. (D) both kinetic energy and potential energy increases. 11. Area under the curve of force - displacement graph is equal to (A) Force (B) Workdone (C) Power (D) Momentum   12. If A and B are two vectors, then             (A) A  B  B  A     (B) A  B   B  A         (C)  A  B     B  A (D)  A  B    B  A 13. Workdone in rotational motion is given by   (A) W    (B) W  F  x (C) W   x (D) W    14. Identify the principle of moments. (A) load arm  load  Effort arm  effort (B) load arm  effort  Effort arm  load (C) load arm  Effort arm  effort (D) load arm  load  Effort arm 15. The value of universal gravitational constant G is, (A) 6.67 1011 Nm2 kg 2 (B) 6.67 1010 Nm2 kg 2 (C) 6.67 1011 Nkg 2 m2 (D) 6.67 1010 Nkg 2 m2 II. Fill in the blanks by choosing the appropriate answer given in the bracket for all of the following questions: 5 1  5 (decreases, normal reaction, increases, couple, negative, frequency) 16. The number of revolutions made in one second is called ______________. 17. The component of contact force normal to the surfaces in contact is called _____________. Government Independent PU College, Kumsi, Shivamogga Page 2  18. Work done by the frictional force is always ______________. 19. A pair of equal and opposite forces acting with different lines of action is know as ___________. 20. As the height from the surface of the earth increases, the orbital velocity ____________. Part-B III. Answer any FIVE of the following questions: 5  2  10 21. State and explain triangle law of vector addition. 22. Mention the expression for centripetal acceleration in terms of frequency and angular frequency of revolution. 23. Define inertia. Give an example to illustrate principle of inertia. 24. State force law for spring (Hooke’s law). 25. A body of mass 5kg initially at rest is subjected to a force of 20N. What is the kinetic energy acquired by the at the end of 10 s ? 26. Define torque of a rigid body. Mention its SI unit. 27. Write the expression for period of revolution of satellite. 28. Discuss the variation of acceleration due to gravity above and below the surface of the earth. Part-C IV Answer any FIVE of the following questions: 5  3  15 29. Check whether the equation is dimensionally correct. P Velocity of sound in air, v .  Where P pressure of air and  density of air 30. Draw the position - time graph for the motion with (a) Positive acceleration (b) Negative acceleration (c) Zero acceleration 31. Write a note on rectangular resolution of a vector. 32. State the laws of static friction. 33. List the difference between conservative force and non-conservative force.     34. If A  3i  4 j  5k and B  2i  j  3k , find A  B. 35. Derive an expression for kinetic energy of a body due to rotational motion. 36. State Kepler’s laws of planetary motion. Government Independent PU College, Kumsi, Shivamogga Page 3  Part - D V Answer any THREE of the following questions: 3  5  15 37. What is velocity - time graph? Derive v  vo  2ax with usual notations using velocity - time graph. 2 2 38. a) Define time of flight of a projectile. -1 b) Derive an expression for time of flight of a projectile. c) When the time of flight of projectile is maximum? 39. State and prove the law of conservation of linear momentum. 40. Prove that spring force is a conservative force. 41. Explain the partial equilibrium of rigid bodies. VI Answer any TWO of the following: 2  5  10 42. A shot is fired from a point at a distance of 200m from the foot of a tower 100m height so that it just passes over it. Find the magnitude and direction of the velocity of the shot. 43. A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15ms 1. How long does the body take to stop? 44. A body of mass 1kg is under free fall from a height of 5m. Calculate the potential energy and the kinetic energy when it is at a height of 2m from the ground and find the velocity of the body at this position. 45. A 400 kg satellite is in a circular orbit of radius 2RE about the Earth. How much energy is required to transfer it to a circular orbit of radius 4RE? What are the changes in the kinetic and potential energies ? Government Independent PU College, Kumsi, Shivamogga Page 4