NTA NEET Main 101 Speed Tests PDF

 EBD_7506 Corporate Office : 45, 2nd Floor, Maharishi Dayanand Marg, Corner Market, Malviya Nagar, New Delhi-110017 Tel. : 011-49842349 / 49842350...

 EBD_7506 Corporate Office : 45, 2nd Floor, Maharishi Dayanand Marg, Corner Market, Malviya Nagar, New Delhi-110017 Tel. : 011-49842349 / 49842350 Typeset by Disha DTP Team DISHA PUBLICATION ALL RIGHTS RESERVED © Copyright Publisher No part of this publication may be reproduced in any form without prior permission of the publisher. The author and the publisher do not take any legal responsibility for any errors or misrepresentations that might have crept in. We have tried and made our best efforts to provide accurate up-to-date information in this book. For further information about books from DISHA, Log on to www.dishapublication.com or www.aiets.co.in or email to [email protected] [ ii ]  CONTENTS PHYSICS – Chapter-wise Tests 1. Physical World, Units & Measurements P-1 – P-4 2. Motion in a Straight Line P-5 – P-8 3. Motion in a Plane P-9 – P-12 4. Laws of Motion P-13 – P-16 5. Work, Energy and Power P-17 – P-20 6. System of Particles and Rotational Motion P-21 – P-24 7. Gravitation P-25 – P-28 8. Mechanical Properties of Solids P-29 – P-32 9. Mechanical Properties of Fluids P-33 – P-36 10. Thermal Properties of Matter P-37 – P-40 11. Thermodynamics P-41 – P-44 12. Kinetic Theory P-45 – P-48 13. Oscillations P-49 – P-52 14. Waves P-53 – P-56 15. Electric Charges and Fields P-57 – P-60 16. Electrostatic Potential & Capacitance P-61 – P-64 17. Current Electricity P-65 – P-68 18. Moving Charges and Magnetism P-69 – P-72 19. Magnetism and Matter P-73 – P-76 20. Electromagnetic Induction P-77 – P-80 21. Alternating Current P-81 – P-84 22. Electromagnetic Waves P-85 – P-88 23. Ray Optics and Optical Instruments P-89 – P-92 24. Wave Optics P-93 – P-96 25. Dual Nature of Radiation and Matter P-97 – P-100 26. Atoms P-101 – P-104 27. Nuclei P-105 – P-108 28. Semiconductor Electronics: Materials, Devices and Simple Circuits P-109 – P-112 CHEMISTRY – Chapter-wise Tests 29. Some Basic Concepts of Chemistry C-1 – C-4 30. Structure of Atom C-5 – C-8 31. Classification of Elements and Periodicity in Properties C-9 – C-12 32. Chemical Bonding and Molecular Structure C-13 – C-16 33. States of Matter C-17 – C-20 34. Thermodynamics C-21 – C-24 35. Equilibrium C-25 – C-28 36. Redox Reactions C-29 – C-32 [ iii ]  EBD_7506 37. Hydrogen C-33 – C-36 38. s – Block Elements C-37 – C-40 39. p – Block Elements C-41 – C-44 40. Organic Chemistry - Some Basic Principles & Techniques C-45 – C-48 41. Hydrocarbons C-49 – C-52 42. Environmental Chemistry C-53 – C-56 43. The Solid State C-57 – C-60 44. Solutions C-61 – C-64 45. Electrochemistry C-65 – C-68 46. Chemical Kinetics C-69 – C-72 47. Surface Chemistry C-73 – C-76 48. General Principles and Processes of Isolation of Elements C-77 – C-80 49. p – Block Elements (Group 15, 16, 17 and 18) C-81 – C-84 50. The d – and f – Block Elements C-85 – C-88 51. Coordination Compounds C-89 – C-92 52. Haloalkanes and Haloarenes C-93 – C-96 53. Alcohols, Phenols and Ethers C-97 – C-100 54. Aldehydes, Ketones and Carboxylic Acids C-101 – C-104 55. Amines C-105 – C-108 56. Biomolecules C-109 – C-112 57. Polymers C-113 – C-116 58. Chemistry in Everyday Life C-117 – C-120 BIOLOGY – Chapter-wise Tests 59. The Living World B-1 – B-4 60. Biological Classification B-5 – B-8 61. Plant Kingdom B-9 – B-12 62. Animal Kingdom B-13 – B-16 63. Morphology of Flowering Plants B-17 – B-20 64. Anatomy of Flowering Plants B-21 – B-24 65. Structural Organisation in Animals B-25 – B-28 66. CELL: The Unit of Life B-29 – B-32 67. Biomolecules B-33 – B-36 68. Cell Cycle and Cell Division B-37 – B-40 69. Transport in Plants B-41 – B-44 70. Mineral Nutrition B-45 – B-48 71. Photosynthesis in Higher Plants B-49 – B-52 72. Respiration in Plants B-53 – B-56 73. Plant Growth and Development B-57 – B-60 74. Digestion and Absorption B-61 – B-64 75. Breathing and Exchange of Gases B-65 – B-68 76. Body Fluids and Circulation B-69 – B-72 77. Excretory Products and Their Elimination B-73 – B-76 78. Locomotion and Movement B-77 – B-80 79. Neural Control and Co-ordination B-81 – B-84 [ iv ] 80. Chemical Co-ordination and Integration B-85 – B-88 81. Reproduction in Organism B-89 – B-92 82. Sexual Reproduction in Flowering Plants B-93 – B-96 83. Human Reproduction B-97 – B-100 84. Reproductive Health B-101 – B-104 85. Principles of Inheritance and Variation B-105 – B-108 86. Molecular Basis of Inheritance B-109 – B-112 87. Evolution B-113 – B-116 88. Human Health and Disease B-117 – B-120 89. Strategies for Enchancement in Food Production B-121 – B-124 90. Microbes in Human Welfare B-125 – B-128 91. Biotechnology: Principles and Processes B-129 – B-132 92. Biotechnology and its Applications B-133 – B-136 93. Organisms and Populations B-137 – B-140 94. Ecosystem B-141 – B-144 95. Biodiversity and its Conservation B-145 – B-148 96. Environmental Issues B-149 – B-152 PHYSICS – Subject-wise Test 97. Full Syllabus Test – 1 PT-1 – PT-4 CHEMISTRY – Subject-wise Test 98. Full Syllabus Test – 1 CT-1 – CT-4 BIOLOGY – Subject-wise Test 99. Full Syllabus Test – 1 BT-1 – BT-8 FULL TESTS 100. Full Test – 1 FT-1 – FT-16 101. Full Test – 2 FT-17 – FT-32 HINTS & SOLUTIONS PHYSICS – Chapter-wise Tests S-P-1 – S-P-115 CHEMISTRY – Chapter-wise Tests S-C-1 – S-C-84 BIOLOGY – Chapter-wise Tests S-B-1 – S-B-40 PHYSICS – Subject-wise Test S-PT-1 – S-PT-3 CHEMISTRY – Subject-wise Test S-CT-1 – S-CT-3 BIOLOGY – Subject-wise Test S-BT-1 – S-BT-2 FULL TESTS S-FT-1 – S-FT-21 [v]  EBD_7506 101 SP EED TESTS Marks S cored = S uccess Gap = Max. Cut-off Qualifying Speed Tes t Time Correct Ans wers × 4 - Qualifying Marks - Mark s Marks Mark s (1 × Incorrect Ans wers ) Mark s Scored 1 60 180 50 70 2 60 180 50 70 3 60 180 50 70 4 60 180 45 60 5 60 180 50 70 6 60 180 45 60 7 60 180 45 60 8 60 180 50 70 9 60 180 45 60 10 60 180 45 60 11 60 180 45 60 12 60 180 50 70 13 60 180 45 60 14 60 180 50 70 15 60 180 50 70 16 60 180 50 70 17 60 180 45 60 18 60 180 45 60 19 60 180 50 70 20 60 180 50 70 21 60 180 50 70 22 60 180 50 70 23 60 180 45 60 24 60 180 45 60 25 60 180 45 60 26 60 180 50 70 27 60 180 50 70 28 60 180 50 70 29 60 180 35 55 30 60 180 35 52 31 60 180 40 65 32 60 180 38 60 33 60 180 36 58 34 60 180 34 55 35 60 180 39 57 [ vi ]  101 SP EED TESTS Marks S cored = S uccess Gap = Max. Cut-off Qualifying Speed Tes t Time Correct Ans wers × 4 - Qualifying Marks - Mark s Marks Mark s (1 × Incorrect Ans wers ) Mark s Scored 36 60 180 45 65 37 60 180 42 66 38 60 180 36 58 39 60 180 38 65 40 60 180 35 60 41 60 180 37 62 42 60 180 45 68 43 60 180 40 58 44 60 180 42 63 45 60 180 36 65 46 60 180 38 64 47 60 180 46 68 48 60 180 43 63 49 60 180 37 58 50 60 180 42 65 51 60 180 39 64 52 60 180 37 59 53 60 180 38 62 54 60 180 35 57 55 60 180 34 55 56 60 180 38 58 57 60 180 46 65 58 60 180 46 68 59 60 180 45 60 60 60 180 45 60 61 60 180 35 50 62 60 180 40 65 63 60 180 45 60 64 60 180 45 60 65 60 180 40 55 66 60 180 45 60 67 60 180 45 55 68 60 180 40 50 69 60 180 40 55 70 60 180 40 55 [ vii ]  EBD_7506 101 SP EED TESTS Marks S cored = Succes s Gap = Max. Cut-off Qualifying Speed Tes t Time Correct Ans wers × 4 - (1 Qualifying Marks - Mark s Mark s Mark s × Incorrect Ans wers ) Mark s Scored 71 60 180 45 60 72 60 180 45 60 73 60 180 45 60 74 60 180 45 60 75 60 180 50 65 76 60 180 50 60 77 60 180 45 60 78 60 180 45 60 79 60 180 45 60 80 60 180 40 50 81 60 180 55 65 82 60 180 40 55 83 60 180 55 60 84 60 180 48 55 85 60 180 45 60 86 60 180 55 65 87 60 180 45 60 88 60 180 48 55 89 60 180 55 60 90 60 180 45 60 91 60 180 48 60 92 60 180 40 55 93 60 180 40 55 94 60 180 50 70 95 60 180 50 60 96 60 180 40 60 97 60 180 30 45 98 60 180 30 40 99 60 360 55 85 100 180 720 135 100 101 180 720 140 190 [ viii ]  PHYSICS Speed Physical World, Units & Measurements TEST No. of Questions 45 Maximum Marks 180 Time 1 Hour 1 Chapter-wise GENERAL INSTRUCTIONS This test contains 45 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation. 1. The density of material in CGS system of units is 4g/cm3. In 4. Young’s modulus of a material has the same unit as that of a system of units in which unit of length is 10 cm and unit of (a) pressure (b) strain mass is 100 g, the value of density of material will be (c) compressibility (d) force (a) 0.4 unit (b) 40 unit 5. Of the following quantities, which one has dimensions (c) 400 unit (d) 0.04 unit different from the remaining three? 2. The time period of a body under S.H.M. is represented by: (a) Energy per unit volume T = Pa Db Sc where P is pressure, D is density and S is (b) Force per unit area surface tension, then values of a, b and c are (c) Product of voltage and charge per unit volume 3 1 (d) Angular momentum (a) - , , 1 (b) -1, - 2, 3 6. The pressure on a square plate is measured by measuring 2 2 the force on the plate and length of the sides of the plate by 1 3 1 1 (c) ,- ,- (d) 1, 2, F 2 2 2 3 using the formula P =. If the maximum errors in the 3. The respective number of significant figures for the numbers l2 23.023, 0.0003 and 2.1 × 10–3 are measurement of force and length are 4% and 2% (a) 5, 1, 2 (b) 5, 1, 5 (c) 5, 5, 2 (d) 4, 4, 2 respectively, then the maximum error in the measurement of pressure is (a) 1% (b) 2% (c) 8% (d) 10% RESPONSE 1. 2. 3. 4. 5. GRID 6. Space for Rough Work  EBD_7506 P-2 NTA NEET 7. The siemen is the SI unit of measurement of mass and length are 4% and 3% (a) resistivity (b) resistance respectively, the maximum error in the measurement of (c) conductivity (d) conductance density will be 8. An object is moving through the liquid. The viscous (a) 7% (b) 9% (c) 12% (d) 13% damping force acting on it is proportional to the velocity. 16. Which is different from others by units ? Then dimensions of constant of proportionality are (a) Phase difference (b) Mechanical equivalent (a) [ML–1T–1] (b) [MLT–1] (c) Loudness of sound (d) Poisson’s ratio (c) [M0LT–1] (d) [ML0T–1] DV 9. The least count of a stop watch is 0.2 second. The time of 20 17. A quantity X is given by e 0 L where Î0 is the Dt oscillations of a pendulum is measured to be 25 second. permittivity of the free space, L is a length, DV is a potential The percentage error in the measurement of time will be difference and Dt is a time interval. The dimensional formula (a) 8% (b) 1.8% (c) 0.8% (d) 0.1% for X is the same as that of 10. Weber is the unit of (a) resistance (b) charge (a) magnetic susceptibility (b) intensity of magnetisation (c) voltage (d) current (c) magnetic flux 18. If the error in the measurement of the volume of sphere is (d) magnetic permeability 6%, then the error in the measurement of its surface area will 11. The physical quantity which has the dimensional formula be [M1T–3] is (a) 2% (b) 3% (c) 4% (d) 7.5% (a) surface tension (b) solar constant 19. If velocity (V), force (F) and energy (E) are taken as fundamental (c) density (d) compressibility units, then dimensional formula for mass will be 12. The dimensions of Wien’s constant are –2 0 0 2 –2 0 –2 0 (a) V F E (b) V FE (c) VF E (d) V F E (a) [ML0 T K] (b) [M0 LT0 K] (c) [M0 L0 T K] (d) [MLTK] 20. Multiply 107.88 by 0.610 and express the result with correct 13. If the capacitance of a nanocapacitor is measured in terms number of significant figures. of a unit ‘u’ made by combining the electric charge ‘e’, (a) 65.8068 (b) 65.807 (c) 65.81 (d) 65.8 Bohr radius ‘a0’, Planck’s constant ‘h’ and speed of light ‘c’ 21. Which of the following is a dimensional constant? then (a) Refractive index (b) Poissons ratio (c) Strain (d) Gravitational constant e2 h hc (a) u = (b) u = 2 22. If E, m, J and G represent energy, mass, angular momentum a0 e a0 and gravitational constant respectively, then the e2 c e2 a 0 dimensional formula of EJ2/m5G2 is same as that of the (c) u= (d) u= (a) angle (b) length (c) mass (d) time ha 0 hc 23. The refractive index of water measured by the relation 1 e2 real depth 14. The dimensions of are m= is found to have values of 1.34, 1.38, Îo hc apparent depth 1.32 and 1.36; the mean value of refractive index with (a) M–1 L–3 T4 A2 (b) ML3 T–4 A–2 percentage error is (c) M0 L0 T0 A0 (d) M–1 L–3 T2 A (a) 1.35 ± 1.48 % (b) 1.35 ± 0 % 15. The density of a cube is measured by measuring its mass (c) 1.36 ± 6 % (d) 1.36 ± 0 % and length of its sides. If the maximum error in the 7. 8. 9. 10. 11. RESPONSE 12. 13. 14. 15. 16. GRID 17. 18. 19. 20. 21. 22. 23. Space for Rough Work Physics P-3 24. If e is the charge, V the potential difference, T the temperature, 32. The mass of the liquid flowing per second per unit area of eV cross-section of the tube is proportional to (pressure then the units of are the same as that of T difference across the ends)n and (average velocity of the (a) Planck’s constant (b) Stefan’s constant liquid)m. Which of the following relations between m and n (c) Boltzmann's constant (d) gravitational constant is correct? 25. The dimensions of mobility are (a) m = n (b) m = – n (c) m2 = n (d) m = – n2 (a) M–2T 2A (b) M–1T 2A (c) M–2T 3A (d) M–1T 3A 33. The Richardson equation is given by I = AT2e–B/kT. The 26. Two quantities A and B have different dimensions which dimensional formula for AB2 is same as that for mathematical operation given below is physically (a) I T2 (b) kT (c) I k2 (d) I k2/T meaningful? 34. Turpentine oil is flowing through a capillary tube of length (a) A/B (b) A + B (c) A – B (d) A = B l and radius r. The pressure difference between the two 27. The velocity of water waves (v) may depend on their wavelength l, the density of water r and the acceleration ends of the tube is p. The viscosity of oil is given by : due to gravity, g. The method of dimensions gives the p(r 2 - x 2 ) relation between these quantities is h=. Here v is velocity of oil at a distance x from (a) v (b) v2 µ gl 4vl (c) v µ gl 2 2 (d) v2 µ g–1l2 the axis of the tube. From this relation, the dimensional 28. The physical quantities not having same dimensions are formula of h is (a) torque and work (b) momentum and Planck’s constant (a) [ML-1T -1 ] (b) [MLT -1 ] (c) stress and Young’s modulus (d) speed and (m0e0)–1/2 (c) [ML2 T -2 ] (d) [M 0 L0 T 0 ] 29. A physical quantity of the dimensions of length that can be e2 éæ 2 p öù formed out of c, G and is [c is velocity of light, G is 35. Given that y = A sin êç (ct - x) ÷ú , where y and x are 4pe0 ëè l øû universal constant of gravitation and e is charge] measured in metre. Which of the following statements is 1/ 2 1/ 2 true? 2 é e2 ù 1 é e2 ù (a) c êG ú (b) ê ú (a) The unit of l is same as that of x and A ëê 4pe 0 ûú c 2 ëê G4 pe0 ûú (b) The unit of l is same as that of x but not of A 1/ 2 2p 1 e2 1 é e2 ù (c) The unit of c is same as that of (c) G (d) êG ú l c 4pe0 c ëê 4pe 0 ûú 2 2p 30. The unit of impulse is the same as that of (d) The unit of (ct – x) is same as that of (a) energy (b) power l (c) momentum (d) velocity 36. If L = 2.331 cm, B = 2.1 cm, then L + B = 31. If Q denote the charge on the plate of a capacitor of (a) 4.431 cm (b) 4.43 cm (c) 4.4 cm (d) 4 cm Q2 37. In the relation x = cos (wt + kx), the dimension(s) of w is/are capacitance C then the dimensional formula for is (a) [M0 LT] (b) [M0L–1T0] C 0 0 –1 (c) [M L T ] (d) [M0LT–1] (a) [L2M2T] (b) [LMT2] (c) [L2MT–2] (d) [L2M2T2] 24. 25. 26. 27. 28. RESPONSE 29. 30. 31. 32. 33. GRID 34. 35. 36. 37. Space for Rough Work  EBD_7506 P-4 NTA NEET 38. In a vernier callipers, ten smallest divisions of the vernier 42. Which of the following do not have the same dimensional scale are equal to nine smallest division on the main scale. If formula as the velocity? the smallest division on the main scale is half millimeter, Given that m0 = permeability of free space, e0 = permittivity then the vernier constant is of free space, n = frequency, l = wavelength, P = pressure, r (a) 0.5 mm (b) 0.1 mm (c) 0.05 mm (d) 0.005 mm = density, w = angular frequency, k = wave number, 39. Which two of the following five physical parameters have (a) 1 m 0 eo (b) n l (c) P/r (d) wk the same dimensions? (A) Energy density (B) Refractive index 43. Unit of magnetic moment is (C) Dielectric constant (D) Young’s modulus (a) ampere–metre2 (b) ampere–metre (E) Magnetic field (c) weber–metre2 (d) weber/metre (a) (B) and (D) (b) (C) and (E) 44. An experiment is performed to obtain the value of (c) (A) and (D) (d) (A) and (E) acceleration due to gravity g by using a simple pendulum of length L. In this experiment time for 100 oscillations is æ a ö measured by using a watch of 1 second least count and the 40. In the eqn. ç P + 2 ÷ (V - b) = constant, the unit of a is è V ø value is 90.0 seconds. The length L is measured by using a meter scale of least count 1 mm and the value is 20.0 cm. The (a) dyne cm5 (b) dyne cm4 3 error in the determination of g would be: (c) dyne/cm (d) dyne cm2 (a) 1.7% (b) 2.7% (c) 4.4% (d) 2.27% 41. The dimensions of Reynold’s constant are 45. The dimensional formula for magnetic flux is (a) [M0L0T0] (b) [ML–1T–1] (a) [ML2T–2A–1] (b) [ML3T–2A–2] –1 (c) [ML T ]–2 (d) [ML–2T–2] 0 –2 2 –2 (c) [M L T A ] (d) [ML2T–1A2] RESPONSE 38. 39. 40. 41. 42. GRID 43. 44. 45. PHYSICS CHAPTERWISE SPEED TEST-1 Total Questions 45 Total Marks 180 Attempted Correct Incorrect Net Score Cut-off Score 50 Qualifying Score 70 Success Gap = Net Score – Qualifying Score Net Score = (Correct × 4) – (Incorrect × 1) Space for Rough Work  PHYSICS Speed Motion in a Straight Line TEST No. of Questions 45 Maximum Marks 180 Time 1 Hour 2 Chapter-wise GENERAL INSTRUCTIONS This test contains 45 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation. 1. A particle starts moving rectilinearly at time t = 0 such that (b) The magnitude of the average velocity in an interval is its velocity v changes with time t according to the equation equal to its average speed in that interval. v = t2 – t where t is in seconds and v is in m/s. Find the time (c) It is possible to have a situation in which the speed of interval for which the particle retards. the particle is never zero but the average speed in an 1 1 interval is zero. (a) 1 (d) It is possible to have a situation in which the speed of 2 2 particle is zero but the average speed is not zero. 1 1 3 5. A particle located at x = 0 at time t = 0, starts moving along (c) (b) a > (c) a ³ (d) a < m mm m m end. As the angle of inclination with the horizontal reaches 30º the box mg 9. A bridge is in the from of a semi-circle of radius 40m. The q greatest speed with which a motor cycle can cross the bridge starts to slip and slides 4.0 m down without leaving the ground at the highest point is the plank in 4.0s. The coefficients of static and kinetic friction (g = 10 m s–2) (frictional force is negligibly small) between the box and the plank will be, respectively : (a) 40 m s–1 (b) 20 m s–1 (a) 0.6 and 0.5 (b) 0.5 and 0.6 (c) 30 m s–1 (d) 15 m s–1 (c) 0.4 and 0.3 (d) 0.6 and 0.6 10. An explosion blows a rock into three parts. Two parts go off 17. Four blocks of same mass connected by cords are pulled by at right angles to each other. These two are, 1 kg first part a force F on a smooth horizontal surface, as shown in fig. moving with a velocity of 12 ms–1 and 2 kg second part The tensions T1, T2 and T3 will be moving with a velocity of 8 ms–1. If the third part flies off T1 T2 T3 with a velocity of 4 ms–1, its mass would be F M M M M (a) 5 kg (b) 7 kg (c) 17 kg (d) 3 kg 11. A monkey is decending from the branch of a tree with 1 3 1 constant acceleration. If the breaking strength is 75% of the (a) T1 = F , T2 = F , T3 = F 4 2 4 weight of the monkey, the minimum acceleration with which 1 1 1 monkey can slide down without breaking the branch is (b) T1 = F , T2 = F , T3 = F 4 2 2 3g g g 3 1 1 (a) g (b) (c) (d) (c) T1 = F , T2 = F , T3 = F 4 4 2 4 2 4 12. A car having a mass of 1000 kg is moving at a speed of 30 3 1 1 metres/sec. Brakes are applied to bring the car to rest. If the (d) T1 = F , T2 = F , T3 = F 4 2 2 frictional force between the tyres and the road surface is 18. A body of mass M is kept on a rough horizontal surface 5000 newtons, the car will come to rest in (friction coefficient µ). A person is trying to pull the body (a) 5 seconds (b) 10 seconds by applying a horizontal force but the body is not moving. (c) 12 seconds (d) 6 seconds The force by the surface on the body is F, then 13. A spring is compressed between two toy carts of mass m1 and (a) F = Mg (b) F = mMg m2. When the toy carts are released, the springs exert equal and opposite average forces for the same time on each toy (c) Mg £ F £ Mg 1 + µ 2 (d) Mg ³ F ³ Mg 1 + µ 2 RESPONSE 7. 8. 9. 10. 11. GRID 12. 13. 14. 15. 16. 17. 18. Space for Rough Work Physics P-15 19. Which one of the following motions on a smooth plane 26. The minimum force required to start pushing a body up surface does not involve force? rough (frictional coefficient m) inclined plane is F1 while the (a) Accelerated motion in a straight line minimum force needed to prevent it from sliding down is F2. (b) Retarded motion in a straight line If the inclined plane makes an angle q from the horizontal (c) Motion with constant momentum along a straight line F1 (d) Motion along a straight line with varying velocity such that tan q = 2m then the ratio is 20. A block A of mass m1 rests on a horizontal table. A light F2 string connected to it passes over a frictionless pulley at (a) 1 (b) 2 (c) 3 (d) 4 the edge of table and from its other end another block B of 27. Two blocks are connected over a mass m2 is suspended. The coefficient of kinetic friction massless pulley as shown in fig. between the block and the table is µk. When the block A is The mass of block A is 10 kg and A sliding on the table, the tension in the string is the coefficient of kinetic friction is B (m 2 – m k m1 ) g m1m 2 (1 + m k ) g 0.2. Block A slides down the incline 30º (a) (b) (m1 + m 2 ) (m1 + m 2 ) at constant speed. The mass of m1m2 (1 – mk )g (m 2 + m k m1 )g block B in kg is (c) (m1 + m2 ) (d) (m1 + m 2 ) (a) 3.5 (b) 3.3 (c) 3.0 (d) 2.5 21. The upper half of an inclined plane with inclination f is perfectly 28. Tension in the cable supporting an elevator, is equal to the smooth while the lower half is rough. A body starting from rest weight of the elevator. From this, we can conclude that the at the top will again come to rest at the bottom if the coefficient elevator is going up or down with a of friction for the lower half is given by (a) uniform velocity (b) uniform acceleration (a) 2 cos f (b) 2 sin f (c) tan f (d) 2 tan f 22. A particle describes a horizontal circle in a conical funnel (c) variable acceleration (d) either (b) or (c) whose inner surface is smooth with speed of 0.5 m/s. What 29. A particle tied to a string describes a vertical circular motion is the height of the plane of circle from vertex of the funnel? of radius r continually. If it has a velocity 3 gr at the (a) 0.25 cm (b) 2 cm (c) 4 cm (d) 2.5 cm highest point, then the ratio of the respective tensions in 23. You are on a frictionless horizontal plane. How can you get off if no horizontal force is exerted by pushing against the the string holding it at the highest and lowest points is surface? (a) 4 : 3 (b) 5 : 4 (c) 1 : 4 (d) 3 : 2 (a) By jumping 30. It is difficult to move a cycle with brakes on because (b) By spitting or sneezing (c) by rolling your body on the surface (a) rolling friction opposes motion on road (d) By running on the plane (b) sliding friction opposes motion on road 24. The coefficient of static and dynamic friction between a (c) rolling friction is more than sliding friction body and the surface are 0.75 and 0.5 respectively. A force is applied to the body to make it just slide with a constant (d) sliding friction is more than rolling friction acceleration which is 31. A plumb line is suspended from a celling of a car moving g g 3g with horizontal acceleration of a. What will be the angle of (a) (b) (c) (d) g inclination with vertical? 4 2 2 25. In the system shown in figure, the pulley is smooth and (a) tan–1 (a/g) (b) tan–1 (g/a) massless, the string has a total mass 5g, and the two –1 (c) cos (a/g) (d) cos–1 (g/a) suspended blocks have masses 25 g and 15 g. The system is released from state l = 0 and is studied upto stage l¢ = 0. 32. A cart of mass M has a block of mass m During the process, the acceleration of block A will be attached to it as shown in fig. The g coefficient of friction between the block M m (a) constant at and the cart is m. What is the minimum 9 acceleration of the cart so that the block g l l' (b) constant at m does not fall? 4 A 25 g (a) mg (b) g/m (c) increasing by factor of 3 B (d) increasing by factor of 2 15 g (c) m/g (d) M mg/m 19. 20. 21. 22. 23. RESPONSE 24. 25. 26. 27. 28. GRID 29. 30. 31. 32. Space for Rough Work  EBD_7506 P-16 NTA NEET 33. What is the maximum value of the force F such that the 40. A bullet is fired from a gun. The force on the bullet is given by block shown in the arrangement, does not move? F = 600 – 2 × 105 t where, F is in newton and t in second. The force on the bullet becomes zero as soon as it leaves the µ= 1 barrel. What is the average impulse imparted to the bullet? 2Ö 3 (a) 1.8 N-s (b) zero (c) 9 N-s (d) 0.9 N-s 60° m= Ö 3 kg 41. Two stones of masses m and 2 m are whirled in horizontal r circles, the heavier one in radius and the lighter one in (a) 20 N (b) 10 N (c) 12 N (d) 15 N 2 34. A block has been placed on an inclined plane with the slope radius r. The tangential speed of lighter stone is n times that angle q, block slides down the plane at constant speed. The of the value of heavier stone when they experience same coefficient of kinetic friction is equal to centripetal forces. The value of n is : (a) sin q (b) cos q (c) g (d) tan q (a) 3 (b) 4 (c) 1 (d) 2 35. A block of mass m is connected to another block of mass M 42. A 0.1 kg block suspended from a massless string is moved by a spring (massless) of spring constant k. The block are first vertically up with an acceleration of 5ms–2 and then kept on a smooth horizontal plane. Initially the blocks are at moved vertically down with an acceleration of 5ms–2. If T1 rest and the spring is unstretched. Then a constant force F and T2 are the respective tensions in the two cases, then starts acting on the block of mass M to pull it. Find the force (a) T2 > T1 of the block of mass m. (b) T1 – T2 = 1 N, if g = 10ms–2 (c) T1 – T2 = 1kg f MF mF mF (a) (b) (c) ( M + m) F (d) (d) T1 – T2 = 9.8 N, if g = 9.8 ms–2 (m + M ) M m (m + M ) 43. Three forces start acting simultaneously C 36. A block of mass m is placed on a surface with a vertical r on a particle moving with velocity, v. x3 These forces are represented in magnitude cross section given by y =. If the coefficient of friction and direction by the three sides of a 6 triangle ABC. The particle will now move is 0.5, the maximum height above the ground at which the with velocity block can be placed without slipping is: r A B (a) less than v 1 2 1 r 1 (b) greater than v (a) m (b) m (c) m (d) m 6 3 3 2 (c) |v| in the direction of the largest force BC 37. A ball of mass 10 g moving perpendicular to the plane of the r (d) v , remaining unchanged wall strikes it and rebounds in the same line with the same 44. If in a stationary lift, a man is standing with a bucket full of velocity. If the impulse experienced by the wall is 0.54 Ns, water, having a hole at its bottom. The rate of flow of water the velocity of the ball is through this hole is R0. If the lift starts to move up and (a) 27 ms–1 (b) 3.7 ms–1 (c) 54 ms–1 (d) 37 ms–1 down with same acceleration and then the rates of flow of 38. A block is kept on a inclined plane of inclination q of length l. water are Ru and Rd, then The velocity of particle at the bottom of inclined is (the (a) R0 > Ru > Rd (b) Ru > R0 > Rd coefficient of friction is m) (c) Rd > R0 > Ru (d) Ru > Rd > R0 (a) [2gl(m cos q - sin q)]1 / 2 (b) 2gl(sin q - m cos q) 45. A stationary body of mass 3 kg explodes into three equal pieces. Two of the pieces fly off in two mutually (c) 2gl(sin q + m cos q) (d) 2gl(cos q + m sin q) perpendicular directions, one with a velocity of 3iˆ ms -1 39. A 100 g iron ball having velocity 10 m/s collides with a wall and the other with a velocity of 4ˆj ms -1. If the explosion at an angle 30° and rebounds with the same angle. If the occurs in 10–4 s, the average force acting on the third piece period of contact between the ball and wall is 0.1 second, in newton is then the force experienced by the wall is (a) (3iˆ + 4ˆj) ´ 10 - 4 (b) (3iˆ - 4ˆj) ´ 10 - 4 (a) 10 N (b) 100 N (c) 1.0 N (d) 0.1 N (c) (3iˆ - 4ˆj) ´ 10 4 (d) -(3iˆ + 4j)ˆ ´ 104 RESPONSE 33. 34. 35. 36. 37. 38. 39. 40. 41. GRID 42. 43. 44. 45. PHYSICS CHAPTERWISE SPEED TEST-4 Total Questions 45Total Marks 180 Attempted Correct Incorrect Net Score Cut-off Score 45 Space for Qualifying Rough Work Score 60 Success Gap = Net Score – Qualifying Score Net Score = (Correct × 4) – (Incorrect × 1) Space for Rough Work  PHYSICS Speed Work, Energy and Power TEST No. of Questions 45 Maximum Marks 180 Time 1 Hour 5 Chapter-wise GENERAL INSTRUCTIONS This test contains 45 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation. 1. A spring of spring constant 5 × 103 N/m is stretched initially d d d by 5cm from the unstretched position. Then the work (a) Mg (b) 3 Mg (c) -3 Mg (d) Mg d required to stretch it further by another 5 cm is 4 4 4 (a) 12.50 Nm (b) 18.75 Nm 6. A rubber ball is dropped from a height of 5m on a plane, (c) 25.00 Nm (d) 6.25 Nm where the acceleration due to gravity is not shown. On 2. A particle of mass 10 g moves along a circle of radius 6.4 cm bouncing it rises to 1.8 m. The ball loses its velocity on with a constant tangential acceleration. What is the bouncing by a factor of magnitude of this acceleration if the kinetic energy of the 16 2 3 9 particle becomes equal to 8 × 10–4 J by the end of the second (a) (b) (c) (d) 25 5 5 25 revolution after the beginning of the motion ? 7. A ball of mass m moving with a constant velocity strikes (a) 0.1 m/s2 (b) 0.15 m/s2 (c) 0.18 m/s2 (d) 0.2 m/s2 against a ball of same mass at rest. If e = coefficient of 3. A body is moved along a straight line by a machine restitution, then what will be the ratio of velocity of two delivering a constant power. The distance moved by the balls after collision? body in time ‘t’ is proportional to (a) t 3/4 (b) t 3/2 (c) t 1/4 (d) t 1/2 1- e e -1 1+ e 2+e 4. A ball is thrown vertically downwards from a height of 20 m (a) (b) (c) (d) 1+ e e +1 1- e e -1 with an initial velocity v0. It collides with the ground and 8. A particle of mass m is driven by a machine that delivers a loses 50% of its energy in collision and rebounds to the constant power of k watts. If the particle starts from rest the same height. The initial velocity v0 is : (Take g = 10 ms–2) force on the particle at time t is (a) 20 ms–1 (b) 28 ms–1 (c) 10 ms –1 (d) 14 ms–1 (a) mk t –1/2 (b) 2mk t –1/2 5. A cord is used to lower vertically a block of mass M, 1 mk –1/2 a distance d at a constant downward acceleration of g/4. (c) mk t –1/2 (d) t The work done by the cord on the block is 2 2 RESPONSE 1. 2. 3. 4. 5. GRID 6. 7. 8. Space for Rough Work  EBD_7506 P-18 NTA NEET 9. A body of mass 2 kg moving under a force has relation 15. The relationship between the force F and position x of a 3 body is as shown in figure. The work done in displacing the t between displacement x and time t as x = where x is in body form x = 1 m to x = 5 m will be 3 F(N) metre and t is in sec. The work done by the body in first two 10 second will be (a) 1.6 joule (b) 16 joule 5 (c) 160 joule (d) 1600 joule 0 x(m) 10. A sphere of mass 8m collides elastically (in one dimension) l 2 3 4 5 6 with a block of mass 2m. If the initial energy of sphere is E. –5 What is the final energy of sphere? (a) 0.8 E (b) 0.36 E –10 (c) 0.08 E (d) 0.64 E (a) 30 J (b) 15 J (c) 25 J (d) 20 J 11. Two similar springs P and Q have spring constants KP and 16. A body is allowed to fall freely under gravity from a height KQ, such that KP > KQ. They are stretched, first by the same of 10m. If it looses 25% of its energy due to impact with the amount (case a,) then by the same force (case b). The work ground, then the maximum height it rises after one impact is done by the springs WP and WQ are related as, in case (a) (a) 2.5m (b) 5.0m (c) 7.5m (d) 8.2m and case (b), respectively (a) WP = WQ ; WP = WQ (b) WP > WQ ; WQ > WP 17. A block C of mass m is moving with velocity v0 and collides (c) WP < WQ ; WQ < WP (d) WP = WQ ; WP > WQ elastically with block A of mass m and connected to another 12. In the figure, the variation of potential energy of a particle block B of mass 2m through spring constant k. What is k if of mass m = 2 kg is represented w.r.t. its x-coordinate. The x0 is compression of spring when velocity of A and B is particle moves under the effect of this conservative force same? along the x-axis. C v0 A B ` U (in J) mv02 mv02 20 (a) (b) 15 x 02 2x 02 10 2 2 3 mv0 2 mv0 –5 5 (c) (d) –10 2 10 X (in meter) 2 x 02 3 x 02 18. Two springs of force constants 300 N/m –12 (Spring A) and 400 N/m (Spring B) are joined together in –15 series. The combination is compressed by 8.75 cm. The ratio E E of energy stored in A and B is A. Then A is equal to : If the particle is released at the origin then EB EB (a) it will move towards positive x-axis 4 16 3 9 (b) it will move towards negative x-axis (a) (b) (c) (d) (c) it will remain stationary at the origin 3 9 4 16 (d) its subsequent motion cannot be decided due to lack 19. A body of mass 1 kg begins to move under the action of a r of information time dependent force F=(2tiˆ+3t 2 ˆj) N, where î and ĵ are 13. The potential energy of a certain spring when stretched unit vectors alogn x and y axis. What power will be developed through distance S is 10 joule. The amount of work done (in by the force at the time t? joule) that must be done on this spring to stretch it through (a) (2t2 + 3t3)W (b) (2t2 + 4t4)W an additional distance s, will be 3 4 (c) (2t + 3t ) W (d) (2t3 + 3t5)W (a) 20 (b) 10 (c) 30 (d) 40 14. A force applied by an engine of a train of mass 2.05×106 kg 20. A bullet of mass 20 g and moving with 600 m/s collides with changes its velocity from 5m/s to 25 m/s in 5 minutes. The a block of mass 4 kg hanging with the string. What is the power of the engine is velocity of bullet when it comes out of block, if block rises (a) 1.025 MW (b) 2.05 MW to height 0.2 m after collision? (c) 5 MW (d) 6 MW (a) 200 m/s (b) 150 m/s (c) 400 m/s (d) 300 m/s 9. 10. 11. 12. 13. RESPONSE 14. 15. 16. 17. 18. GRID 19. 20. Space for Rough Work Physics P-19 21. A body of mass m kg is ascending on a smooth inclined m/2 m æ 1ö plane of inclination q ç sin q = ÷ with constant acceleration ///////////////////////////////////////////////////////////// è xø d of a m/s2. The final velocity of the body is v m/s. The work (a) 2 (b) 3 (c) 4 (d) 5 done by the body during this motion is 27. A force acts on a 30 gm particle in such a way that the (Initial velocity of the body = 0) position of the particle as a function of time is given by x = 1 mv2 æ g ö 3t – 4t2 + t3, where x is in metres and t is in seconds. The (a) mv2 (g + xa) (b) ç + a÷ work done during the first 4 seconds is 2 2 è2 ø (a) 576mJ (b) 450mJ (c) 490mJ (d) 530mJ 2mv 2 x mv 2 28. A particle of mass m1 moving with velocity v strikes with a (c) ( a + gx ) (d) ( g + xa ) mass m2 at rest, then the condition for maximum transfer of a 2ax kinetic energy is 22. A glass marble dropped from a certain height above the (a) m1 >> m2 (b) m2 >> m2 (c) m1 = m2 (d) m1 = 2m2 horizontal surface reaches the surface in time t and then 29. A mass m is moving with velocity v collides inelastically continues to bounce up and down. The time in which the with a bob of simple pendulum of mass m and gets embedded marble finally comes to rest is into it. The total height to which the masses will rise after é1+ e ù é1 - e ù collision is (a) en t (b) e2 t tê (c) ú (d) t ê ú ë1 - e û ë1 + e û v2 v2 v2 2v 2 (a) (b) (c) (d) 23. The potential energy of a 1 kg particle free to move along 8g 4g 2g g æ x4 x2 ö 30. A 10 H.P. motor pumps out water from a well of depth 20 m the x-axis is given by V( x) = ç - ÷ J. and fills a water tank of volume 22380 litres at a height of ç 4 2 ÷ 10 m from the ground. The running time of the motor to fill è ø The total mechanical energy of the particle is 2 J. Then, the the empty water tank is (g = 10ms–2) maximum speed (in m/s) is (a) 5 minutes (b) 10 minutes (c) 15 minutes (d) 20 minutes 3 1 (a) (b) (c) (d) 2 31. A particle of mass m1 is moving with a velocity v1 and 2 2 2 another particle of mass m2 is moving with a velocity v2. 24. Water falls from a height of 60 m at the rate of 15 kg/s to Both of them have the same momentum but their different operate a turbine. The losses due to frictional force are 10% kinetic energies are E1 and E2 respectively. If m1 > m2 then of energy. How much power is generated by the turbine?( g E1 m1 = 10 m/s2) (a) E1 = E2 (b) E1 < E2 (c) E = m (d)E1 > E2 2 2 (a) 8.1 kW (b) 10.2 kW (c) 12.3 kW (d) 7.0 kW 32. A block of mass 10 kg, moving in x direction with a constant 24. A car of mass m starts from rest and accelerates so that the speed of 10 ms–1, is subject to a retarding force F = 0.1 × J m instantaneous power delivered to the car has a constant during its travel from x = 20 m to 30 m. Its final KE will be : magnitude P0. The instantaneous velocity of this car is (a) 450 J (b) 275 J (c) 250 J (d) 475 J proportional to : 33. Identify the false statement from the following t (a) Work-energy theorem is not independent of Newton's (a) t 2P 0 (b) t 1/2 (c) t –1/2 (d) second law. m (b) Work-energy theorem holds in all inertial frames. 25. When a 1.0kg mass hangs attached to a spring of length 50 (c) Work done by friction over a closed path is zero. cm, the spring stretches by 2 cm. The mass is pulled down (d) No potential energy can be associated with friction. until the length of the spring becomes 60 cm. What is the 34. A one-ton car moves with a constant velocity of amount of elastic energy stored in the spring in this 15 ms–1 on a rough horizontal road. The total resistance to condition. if g = 10 m/s2. the motion of the car is 12% of the weight of the car. The (a) 1.5 joule (b) 2.0 joule(c) 2.5 joule (d) 3.0 joule power required to keep the car moving with the same constant 26. A block of mass m rests on a rough horizontal surface velocity of 15ms–1 is [Take g = 10 ms–2] (Coefficient of friction is µ). When a bullet of mass m/2 (a) 9 kW (b) 18 kW (c) 24 kW (d) 36 kW strikes horizontally, and get embedded in it, the block moves 35. A ball is released from the top of a tower. The ratio of work a distance d before coming to rest. The initial velocity of the done by force of gravity in first, second and third second of bullet is k 2mgd , then the value of k is the motion of the ball is (a) 1 : 2 : 3 (b) 1 : 4 : 9 (c) 1 : 3 : 5 (d) 1 : 5 : 3 21. 22. 23. 24. 25. RESPONSE 26. 27. 28. 29. 30. GRID 31. 32. 33. 34. 35. Space for Rough Work  EBD_7506 P-20 NTA NEET 36. Two spheres A and B of masses m1 and m2 respectively 42. A block of mass M is kept on a platform which is accelerated collide. A is at rest initially and B is moving with velocity v upward with a constant acceleration 'a' during the time v interval T. The work done by normal reaction between the along x-axis. After collision B has a velocity in a direction block and platform is 2 perpendicular to the original direction. The mass A moves after collision in the direction. M a (a) Same as that of B (b) Opposite to that of B (c) q = tan–1 (1/2) to the x-axis (d) q = tan–1 (–1/2) to the x-axis MgaT 2 1 (a) - (b) M (g + a) aT 2 37. A 2 kg block slides on a horizontal floor with a speed of 4m/s. 2 2 It strikes a uncompressed spring, and compresses it till the 1 block is motionless. The kinetic friction force is 15N and spring (c) Ma 2 T (d) Zero constant is 10,000 N/m. The spring compresses by 2 (a) 8.5 cm (b) 5.5 cm (c) 2.5 cm (d) 11.0 cm 43. A spring lies along an x axis attached to a wall at one end 38. An engine pumps water through a hose pipe. Water passes and a block at the other end. The block rests on a frictionless through the pipe and leaves it with a velocity of 2 m/s. The surface at x = 0. A force of constant magnitude F is applied mass per unit length of water in the pipe is 100 kg/m. What to the block that begins to compress the spring, until the is the power of the engine? block comes to a maximum displacement xmax. (a) 400 W (b) 200 W (c) 100 W (d) 800 W 39. A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The Energy 1 4 total mass of the chain is 4 kg. What is the work done in of work 2 pulling the entire chain on the table ? (a) 12 J (b) 3.6 J (c) 7.2 J (d) 1200 J 3 40. A mass ‘m’ moves with a velocity ‘v’ and collides inelastically x xmax with another identical mass. After collision the lst mass moves During the displacement, which of the curves shown in the v graph best represents the kinetic energy of the block ? with velocity in a direction perpendicular to the initial (a) 1 (b) 2 (c) 3 (d) 4 3 44. The K.E. acquired by a mass m in travelling a certain distance direction of motion. Find the speed of the 2nd mass after collision. d, starting form rest, under the action of a constant force is directly proportional to v m m (a) m (b) m 3 A before 1 Aafter (c) (d) independent of m collision collision m 2 45. A vertical spring with force constant k is fixed on a table. A v (a) 3 v (b) v (c) (d) v ball of mass m at a height h above the free upper end of the 3 3 spring falls vertically on the spring so that the spring is 41. A spherical ball of mass 20 kg is stationary at the top of a hill compressed by a distance d. The net work done in the of height 100 m. It rolls down a smooth surface to the ground, process is then climbs up another hill of height 30 m and finally rolls 1 1 down to a horizontal base at a height of 20 m above the (a) mg(h + d) - kd 2 (b) mg(h - d) - kd 2 ground. The velocity attained by the ball is 2 2 1 1 (a) 20 m/s (b) 40 m/s (c) 10 30 m/s (d) 10 m/s (c) mg(h - d) + kd 2 (d) mg(h + d) + kd2 2 2 RESPONSE 36. 37. 38. 39. 40. GRID 41. 42. 43. 44. 45. PHYSICS CHAPTERWISE SPEED TEST-5 Total Ques tions 45 Total Marks 180 Attempted Correct Incorrect Net Score Cut-off Score 50 Qualifying Score 70 Success Gap = Net Score – Space Qualifying Score for Rough Work Net Score = (Correct × 4) – (Incorrect × 1) Space for Rough Work  PHYSICS Speed System of Particles and Rotational Motion TEST No. of Questions 45 Maximum Marks 180 Time 1 Hour 6 Chapter-wise GENERAL INSTRUCTIONS This test contains 45 MCQ's. For each question only one option is correct. Darken the correct circle/ bubble in the Response Grid provided on each page. You have to evaluate your Response Grids yourself with the help of solutions provided at the end of this book. Each correct answer will get you 4 marks and 1 mark shall be deduced for each incorrect answer. No mark will be given/ deducted if no bubble is filled. Keep a timer in front of you and stop immediately at the end of 60 min. The sheet follows a particular syllabus. Do not attempt the sheet before you have completed your preparation for that syllabus. After completing the sheet check your answers with the solution booklet and complete the Result Grid. Finally spend time to analyse your performance and revise the areas which emerge out as weak in your evaluation. 1. From a solid sphere of mass M and radius R, a cube of 4. From a uniform wire, two circular loops are made (i) P of maximum possible volume is cut. Moment of inertia of cube radius r and (ii) Q of radius nr. If the moment of inertia of Q about an axis passing through its center and perpendicular about an axis passing through its centre and perpendicular to one of its faces is : to its plane is 8 times that of P about a similar axis, the value of n is (diameter of the wire is very much smaller than r or nr) 4MR 2 4MR 2 MR 2 MR 2 (a) 8 (b) 6 (c) 4 (d) 2 (a) (b) (c) (d) 9 3p 3 3p 32 2p 16 2p 5. A billiard ball of mass m and radius r, when hit in a horizontal 2. A hollow sphere is held suspended. Sand direction by a cue at a height h above its centre, acquired a is now poured into it in stages. linear velocity v0. The angular velocity w0 acquired by the ball is The centre of mass of the sphere with the sand 5v0 r 2 2v0 r 2 2v0 h 5v0 h (a) (b) (c) (d) (a) rises continuously 2h 5h 5r 2 2r 2 (b) remains unchanged in the process 6. Three bricks each of length L and Wall SAND (c) first rises and then falls to the mass M are arranged as shown original position from the wall. The distance of the (d) first falls and then rises to the centre of mass of the system from L/4 original position the wall is L/2 3. A body A of mass M while falling vertically downwards (a) L/4 (b) L/2 (c) (3/2)L L (d) (11/12)L 1 7. Four point masses, each of value m, are placed at the corners under gravity breaks into two parts; a body B of mass M of a square ABCD of side l. The moment of inertia of this 3 2 system about an axis passing through A and parallel to BD is and a body C of mass M. The centre of mass of bodies 3 (a) 2ml 2 (b) 3ml2 (c) 3ml 2 (d) ml 2 B and C taken together shifts compared to that of body A 8. A loop of radius r and mass m rotating with an angular velocity towards w0 is placed on a rough horizontal surface. The initial velocity (a) does not shift of the centre of the hoop is zero.What will be the velocity of the centre of the hoop when it ceases to slip? (b) depends on height of breaking rw0 rw0 rw0 (c) body B (d) body C (a) (b) (c) (d) rw0 4 3 2 1. 2. 3. 4. 5. RESPONSE GRID 6. 7. 8. Space for Rough Work  EBD_7506 P-22 NTA NEET 9. Two masses m1 and m2 are connected by a massless spring 2 5 of spring constant k and unstretched length l. The masses (b) rotational and translational 7 7 are placed on a frictionless straight channel, which are 2 3 consider our x-axis. They are initially at x = 0 and x = l (c) rotational and translational respectively. At t = 0, a velocity v0 is suddenly imparted to 5 5 the first particle. At a later time t, the centre of mass of the 1 1 (d) rotational and translational two masses is at : 2 2 m2 l 15. A ring of mass M and radius R is rotating about its axis with (a) x = m + m angular velocity w. Two identical bodies each of mass m are 1 2 now gently attached at the two ends of a diameter of the m1l m2 v0t ring. Because of this, the kinetic energy loss will be : (b) x = m + m + m + m m( M + 2m) 2 2 Mm 1 2 1 2 (a) w R (b) w2 R2 M ( M + m) m2 l m2v0t m2 l m1v0 t ( M + m) M 2 2 (c) x = + (d) x = m + m + m + m Mm 2 2 m1 + m1 m1 + m2 (c) w R (d) ( M + 2 m) w R 1 2 1 2 ( M + 2m) 10. A body of mass 1.5 kg rotating about an axis with angular 16. Acertain bicycle can go up a n F1 Chai velocity of 0.3 rad s–1 has the angular momentum of 1.8 kg gentle incline with constant speed m2s–1. The radius of gyration of the body about an axis is when the frictional force of R2 Roa d (a) 2 m (b) 1.2 m (c) 0.2 m (d) 1.6 m ground pushing the rear wheel is R1 r F2 = 4 N. With what force F1 must 11. If F is the force acting on a particle having position 4N r r the chain pull on the sprocket F2 = vector r and t be the torque of this force about the origin, wheel if R1=5 cm and R2 = 30 cm? Horizontal then: 35 r r