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MCQ, For the answer of the following questions choose the correct alternative from among the given ones., 1., , The velocity of a body of mass 20 kg decreases from 20 ms–1 to 5 ms–1 in a distance of 100 m. Force, on the body is, (A) -27.5 N, , 2., , (B) -47.5 N, , (B) 20 N, , (C) 22 N, , (D) 4 N, , Formula for true force is, (A) F ma, , 4., , (D) -67.5 N, , A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves, 0.2 m while applying the force and the ball goes upto 2 m height further, find the magnitude of the, force. (Consider g = 10 ms–2), (A) 16 N, , 3., , (C) -37.5 N, , d mv, , (C) F, , (B) F m, , dt, , dv, dt, , (D) F = m, , d2x, dt 2, , A particle moves in the X–Y plane under the influence of a force such that its linear momentum is, P (t), , ^, , ^, , A[ i cos (kt) j sin(kt)] where A and k are constants. The angle between the force and, , momentum is, (A) 00, 5., , `, , (C) 450, , (D) 900, , Force of 5 N acts on a body of weight 9.8 N. what is the acceleration produced in ms-2, (A)49.00, , 6., , (B) 300, (B) 5.00, , (C) 1.46, , (D) 0.51, , A lift is going up. The total mass of the lift and the passenger is 1000 kg The variation in the speed of, the lift is as given in the graph. The tension in the rope pulling the lift at t= 10.5 sec will be, (B) Zero, , 1, , (A) 8000 N, 3.6, , (C) 12000 N, (D) 17400 N, 7., , 10, , t (sec), , 12, , Same force acts on two bodies of different masses 2 kg and 4 kg initially at rest. The ratio of times, required to acquire same final velocity is, (A) 2:1, , 8., , 2, , (B) 1:2, , (C) 1:1, , (D) 4:16, , Which of the following quantities measured from different inertial reference frames are same, (A) Force, , (B) Velocity, , (C) Displacement, , 55, , (D) Kinetic Energy
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9., , 10,000 small balls, each weighing 1 g strike one square cm of area per second with a velocity, 100 ms–1 in a normal direction and rebound with the same velocity. The value of pressure on the surface, , will be, (A) 2 103 Nm, , (B) 2 105 Nm, , 2, , 2, , (C) 107 Nm 2, (D) 2 107 Nm 2, 10. When the speed of a moving body is doubled, (A) Its acceleration is doubled, (B) Its momentum is doubled, (C) Its kinetic energy is doubled, (D) Its potential energy is doubled, 11. A particle moves in the XY Plane under the action of a force F such that the components of its linear, momentum P at any time t are Px = 2 cost, Py = 2 sint. The angle between F and P at time t is, (A) 900, (B) 00, (C) 1800, (D) 300, 12. A player caught a cricket ball of mass 150 g moving at the rate of 20 ms-1 . If the catching process be, completed in 0.1 s the force of the blow exerted by the ball on the hands of player is, (A) 0.3 N, (B) 30 N, C) 300 N, (D) 3000 N, ^, , ^, , 13. A body of mass 5 kg starts from the origin with an initial velocity u=30 i +40 j ms-1 . If a constant, ^, , ^, , Force F= – i +5 j N acts on the body, the time in which the y-component of the velocity becomes, zero is, (A) 5 s, , (B) 20 s, , (C) 40 s, , (D) 80 s, , Third law of motion, 14. Swimming is possible on account of, , (A) First law of motion, (B) second law of motion, (C) Third law of motion, (D) Newton's law of gravitation, 15. A cold soft drink is kept on the balance.When the cap is open, then the weight, (A) Increases, (B) Decreases, (C) First increase then decreases, (D) Remains same, , 56
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Conservation of linear momentum and impulse, 16. A wagon weighing 1000 kg is moving with a velocity 50 km h-1 on smooth horizontal rails. A mass, of 250 kg is dropped into it. The velocity with which it moves now is, , (A) 2.5 km h, (C) 40 km h, , 1, 1, , (B) 20 km h, , 1, , (D) 50 km h, , 1, , 17. The Figure shows the Position-time (x-t) graph of one dimensional motion of a body of mass 0.4 kg ., , The magnitude of each impluse is, x (m), , (A) 0.2 Ns, (C) 0.8 Ns, , (B) 0.4 Ns, (D) 1.6 Ns, 0, , 2, , 4, , 6, , 8, , 10, , 12, , 14, 16, t (s), , Equllibrium of Forces, 18. Three Forces F1, F2 and F3 together keep a body in equilibrium. If F1 = 3 N along the positive X- axis,, F2 = 4N along the positive Y-axis ,then the third force F3 is, , (A) 5 N -making an angle, , = tan–1 3 4 with negative y-axis, , (B) 5 N - making an angle, , = tan–1 4 3 with negative y-axis, , (C) 7 N - making an angle = tan–1 3 4, , with negative y-axis, , (D) 7 N - making an angle = tan–1 4 3 with negative y-axis, 19. A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with, ^, , ^, , –1, a velocity v = 5t i+ 2t j ms Here t is the time in second. All surfaces are smooth. The sphere, , is at rest with respect to the cube. what is the total force exerted by the sphere on the cube, (g = 10 ms–2), y, A, B, (A) 29 N, , (B) 29 N, , (C) 26 N, , (D) 89 N, , D, , 0, , 57, , C, , x
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20. A particle of mass 2 kg is initially at rest. A force acts on it whose magnitude changes with time. The, F (N), , force time graph is shown below., 20, The velocity of the particle after 10s is, 10, (A) 10 ms-1, (B) 20 ms-1, 0, (C) 75 ms-1, (D) 50 ms-1, t (s), 21. A block of mass 4 kg is placed on a rough horizontal plane. A time dependent force F = Kt 2 acts on, a block , where k = 2 N s 2 , co-efficient of friction µ 0.8 .Force of friction between the block and the, plane at t = 2 S is....., (A) 32 N, (B) 4 N, , (C) 2 N, ^, , (D) 8 N, ^, , ^, , ^, , 22. A 7 kg object is subjected to two forces (in newton) F1 = 20i+30 j and F2 = 8i-5 j The magnitude of, , resulting acceleration in ms–2 will be, (A) 5, (B) 4, (C) 3, (D) 2, 23. A car travelling at a speed of 30 km/h is brought to a halt in 8 metres by applying brakes. If the same, car is travelling at 60 km/h it can be brought to a halt with the same breaking power in, (A) 8 m, (B) 16 m, (C) 24 m, (D) 32 m, 0, 24. A given object takes n times more time to slide down 45 rough inclined plane as it takes to slide down, a perfactly smooth 450 incline. The coefficient of kinetic friction between the object and the incline is, (A), , 1, 2 n2, , (B) 1 1 n 2, , (C) 1 1 n 2, , (D), , 1, 1 - n2, , 25. Two bodies of equal masses revolve in circular orbits of radii R1 and R2 with the same period Their, , centripetal forces are in the ratio., R, (A) R 2, 1, , 2, , 26. Two masses M and, , (B), M, , R1, , (C), , R2, , R1, , 2, , (D) R 1R2, , R2, , 2 are joined together by means of light inextensible string passed over a, , frictionless pulley as shown in fig. When the bigger mass is released, the small one will ascend with an, acceleration, 3g, 2, , (A) g 3, , (B), , (C) g, , (D) g 2, , M, , 2, M, , 58
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27. A 0.5 kg ball moving with a speed of 12 ms-1 strikes a hard wall at an angle of 300 with the wall., , It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for, 0.025 S the average force acting on the wall is, (A) 96 N, (B) 48 N, (C) 24 N, (D) 12 N, 28 A shell of mass 200g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 KJ of, energy. The initial velocity of the shell is, (A) 100 ms-1, (B) 80 ms-1, (C) 40 ms-1, (D) 120 ms-1, 29. A gramophone record is revolving with an anguler velocity, A coin is placed at a distance r from the, centre of the record. The coefficient of static friction is µ . The coin will revolve with the record if, (A) r = µ g, , 2, , (B) r, , 2, , (C) r, , µg, , µg, 2, , (D) r, , µg, 2, , 30. A stone of mass 2 k g is tied to a string of length 0.5 m It the breaking tension of the string is 900N,, , then the maximum angular velocity the stone can have in uniform circular motion is, (A) 30 rad/s, (B) 20 rad/s, (C) 10 rad/s, (D) 25 rad/s, 31. A body of mass 6 kg is hanging from another body of mass 10 kg as shown in fig. This conbination is, being pulled up by a string with an acceleration of 2 ms–2. the tension T1 is (g = 10 ms–2 ), (A) 240 N, (B) 150 N, (C) 220 N, (D) 192 N, , T1, 10 kg, , T2, , a, , 6 kg, , 32. A sparrow flying in air sits on a stretched telegraph wire. If the weight of the sparrow is W ,which of the, , following is true about the tension T produced in the wire?, (A) T = W, (B) T < W, (C) T = 0, (D) T >W, 33. Fig. shows the displacement of a particle going along X-axis as a function of time. The force acting on, the particle is zero in the region, (A) AB, (B) BC, (C) CD, (D) None of these, , Displacement, , Y, , B, , C, , D, , A, Time, , 59, , X
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34. A Force (F) varies with time (t) as shown in fig. Average force over a complete cycle isF0, , (A) Zero, , (B), , (C) F0, , (D) 2F0, , F, F0, , 2, 0, , t, , 35. A body of mass 0.05 kg is falling with acceleration 9.4 ms–2 . The force exerted by air opposite to, motion is, N (g=9.8 ms–2), , (A) 0.02, (B) 0.20, (C) 0.030, (D) Zero, 36. The average force necessary to stop a hammer with 25 NS momentun in 0.04 sec is ___________N, (A) 625, (B) 125, (C) 50, (D) 25, 37. Newton's third law of motion leads to the law of consrevation of, (A) Angular momentum, (B) Energy, (C) mass, (D) momentum, 38. A ball falls on surface from 10 m height and rebounds to 2.5 m. If duration of contact with floor is, 0.01 sec. then average aceleration during contact is _______________ms -2, (A) 2100, (B) 1400, (C) 700, (D) 400, 39. A vehicle of 100 kg is moving with a velocity of 5 m s . To stop it in 110 sec, the required force, , in opposite direction is _______________N, (A) 50, (B) 500, (C) 5000, (D) 1000, 40. The linear momentum P of a particle varies with the time as follows. P a bt 2 Where a and b are, constants. The net force acting on the particle is _____________, (A) Proportional to t, (B) Proportional to t2, (C) Zero, (D) constant, 41. A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal, path. which of the following diagram represents the surface of the liquid ?, (A), (B), (C), (D), a, , a, , a, , a, , 42. A body of 2 kg has an initial speed 5 m/s. A force act on it for some time in the directine of motion., , The force ( F ) ---------time (t) graph is shown in figure. The final speed of the body is _________, F (N), , (A) 9.25 ms-1, (C) 14.25 ms-1, , (B) 5 ms-1, (D) 4.25 ms-1, , 4, 2.5, , 2, , 60, , 4, , 4.5, , 6.5, , t (s)
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43. which of the following statement is correct?, , (A) A body has a constant velocily but a varying speed., (B) A body has a constant speed but a varying value of acceleration., (C) A body has a constant speed and zero accelaration., (D) A body has a constant speed but velocity is zero., 44. A force of 8 N acts on an object of mass 5kg in X- direction and another force of 6 N acts on it in Y direction. Hence, the magnitude of acceleration of object will be, (A) 1.5 ms–2, (B) 2.0 ms–2, (C) 2.5 ms–2, (D) 3.5 ms–2, C, , 45. Three forces are acting simultaneously on a particle, , moving with velocity V .These forces are represented, in magnitude and direction by the three sides of a, triangle ABC. The particle will now move with velocily, __________, , A, , B, , (A) Less than v, , (B) greater than v, , (C) v in the direction of the largest force BC, , (D) v remaining unchanged., , 46. A plate of mass M is placed on a horizontal frictionless surface and a body of mass m is placed on this, plate, The coefficient of dynamic friction between this body and the plate is . If a force 2 mg. is, , applied to the body of mass m along the horizonal direction the acceleration of the plate will be, ________________, (A), (C), , µm, , µm, g, M, , (B) M m g, , 2 m, g, M, , (D) M m g, , 47. On the horizontal surface of a truck, , m, M, , 2mg, , 2 m, , µ 0.6 , a block of mass 1 kg is placed. If the truck is, , accelerating at the rale of 5 m / s 2 then frictional force on the block will be_____________N, (A) 5, (B) 6, (C) 5.88, (D) 8, 48. Two blocks of nass 8 kg and 4 kg are connected a heavy string Placed on rough horizontal Plane, The, 4 kg block is Pulled with a constant force F.The co-efficient of friction between the blocks and the, ground is 0.5, what is the value of F, So that the tension in the spring is constant throughout during, the motion of the blocks ? (g=10 ms–2), (A) 40 N, (B) 60 N, 8 kg, F, 4 kg, (C) 50 N, (D) 30 N, 61
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49. Seven blocks, each of mass 1 kg are arranged one above the other as, , 7, , shown in figure. what are the values of the contact forces exerted on, the third block by the forth and the second block respectively ?, , 6, , ( g = 10 ms-2 ), , 4, , (A) 40 N, 50 N, , (B) 50 N, 40 N, , (C) 40 N, 20 N, , (D) 50 N, 30 N, , 2, , 50. A man is standing on a spring balance. Reading of spring balance is 60 kgf. If man jumps outside, , balance, then reading of spring balance____________, (A) First increase than decreases to zero, , (B) Decreses, , (C) Increases, , (D) Remains same, , 51. A car turns a corner on a slippery road at a constant speed of 10 m/s. If the coefficient of friction is, 0.5, the minimum radius of the arc at which the car turns is_____________meter., , (A) 20, , (B) 10, , (C) 5, , (D) 4, , 52. A person standing on the floor of a lift drops a coin. The coin reaches the floor of the lift in time to if, , the lift is stationary and the time t2 if it is accelerated in upward direction. Than, (A) t1 t 2, , (C) t1 t 2, , (B) t1 > t2, , (D) Cannot say anything, , 53. A lift of mass 1000 kg is moving with an acceleration of 1 ms–2 in upward direction Tension developed, , in the rope of lift is _________________N (g = 9.8 ms-2 ), (A) 9800, , (B) 10,000, , (C) 10,800, , (D) 11,000, , 54. Three blocks of masses m 1,m2 and m3 are connected by massless strings as shown in figure, on a, , frictionless table. They are Pulled with a force T3 40 N . If m1 10kg , m2 6 kg and, m3, , 4 kg the tension T2 will be =________________N, , (A) 20, , (B) 40, , (C) 10, , (D) 32, , T1, , m1, , m2, , T2, , m3, , T3 = 40 N, , 55. If the surfaccs shown in figure are frictionless, the ratio of T1 and T2 is __________, , (A) 3 : 2, , (B) 1 : 3, , (C) 1 : 5, , (D) 5 : 1, , 3kg, , 62, , T2, , 12kg, , T1, , F, 15kg, , 300
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T1, , 56. Three masses 1 kg, 6 kg and 3 kg are connected to each, , other with threads and are placed on a table as shown in, figure. The alcceleration with which the system is moving, is ______ ms-2 (g=10ms-2), , 6 kg, , T2, , T2, , T1, 1 kg, , 3 kg, , (A) zero, (B) 1, (C) 2, (D) 3, 57. A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg, climbs on the rope in which of the following cases-will the rope break?, (take g =10 ms-2 and neglect the mass of rope), (A) When the monkey climbs with constant speed of 5 ms–1, (B) When the monkey climbs with constant acceleration of 2 ms–2, (C) When the monkey climbs with constant acceleration of 5 ms–2, (D) When the monkey climbs with the constant speed of 12 ms–1, 58. An object of mass 3 kg is moving with a velocity of 5 m/s along a straight path. If a force of 12 N is, applied for 3 sec on the object in a perpendicuiar to its direction of motion.The magnitude of velocity, of the particle at the end of 3 sec is____________m/s., (A) 5, (B) 12, (C) 13, (D) 4, 59. Same forces act on two bodies of different mass 2 kg and 5 kg initialy at rest. The ratio of times, required to acquire same final velocity is ____________, (A) 5:3, (B) 25:4, (C) 4:25, (D) 2:5, 60. A body of mass 5 kg starts motion form the origine with an initial veiocily, ^, , ^, , ^, , 0, , ^, , =30 i +40 j m/s If a, , constant force F = – ( i +5 j)N acts on the body, than the time in which the Y-component of the, velocity becomes zero is __________________, (A) 5 s, (B) 20 s, (C) 40 s, (D) 80 s, 61. A Block of mass 300 kg is set into motion on a frictionless, horizontal surface with the help of frictionless pulley and, a=1 ms-2, F, a rope system as shown in figure. What horizontal force, F should be applied to produce in the block an aeceleration, of 1 ms-2 ?, (A) 150 N, (B) 100 N, (C) 300 N, (D) 50 N, , 63
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62. A body of mass m rests on horizontal surface. The coefficient of friction between the body and the, surface is µ . If the body is Pulled by a force P as shown in figure, the limiting friction between body, , and surface will be__________, P, , (B) µ mg 2, , A) µmg, P, , (D) mg, , (C) µ mg 2, , 3P, 2, , 63. Three blocks A , B, and C of equal mass m are placed one over, , A, B, C, , the other, one on a smooth horizontal ground as shown in, figure. Coefficient of friction between any two blocks of A, B, and C is 0.5. What would be the maximum value of mass of, block D so that the blocks A, B and C move without slipping, over each other ?, (A) 3 m, (B) 5 m, D, (C) 6 m, (D) 4 m, 64. A train is moving along a horizontal track. A pendulum suspended from the roof makes an angle of 40, with the vertical, The acceleration of the train is ___________ms-2 (g = 10 ms-2 ), (A) 0.6, (B) 0.7, (C) 0.5, (D) 0.2, 65. A bag of sand of mass m is suspended by rope. a bullet of mass, , m, is fired at it with a velocity, 30, , and gets emmbedded into it. The velocity of the bag finally is _________, (A), , 31, 30, , (B), , 30, 31, , (C), , 31, , (D) 30, , 66. Three blocks having equal mass of 2 kg are hanging on a string passing over a, , pulley as shown in figure. what will be the tension produced in a string connecting, the blocks B and C, , T2, A, , B, , (A) zero, (B) 13.1 N, T1, C, (C) 3.3 N, (D) 19.6 N, 67. A partly hanging uniform chain of length L is resting on a rough horizontal table., is the maximum, possible length that can hang in equilibrium The coefficient of friction between the chain and table is, ____________, (A), , lL, L+l, , (B), , L, l, , (C), 64, , l, L, , (D), , l, L, , l
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68. As shown in figure,the block of 2 kg at one end and the other of 3 kg at the other end of a light string, , are connected. It the system remains stationary find the magnitude and direction of the frictional force, (g = 10 ms-2 ), (A) 20 N, downward on slope, (C) 10 N Downward on slope, , (B) 20 N, upward on slope, (D) 10 N upward on slope, , 2, , kg, , 3 kg, , 30, , 0, , 69. A particle is resting over a smooth horizontal floor, At t = 0, a horizontal force starts acting on it., , Magnitude of the force increses with time according to law F = t , where, = is constant Match the, column after seeing the figure., y, (ii), Column-1, Column-2, (I), (a) curve (i) shows., (p) velocity against time, (b) curve (ii) shows, (q) velocity against acceleration, (r) acceleration against time, x, (A) (i)-p (ii)-q, (B) (i)-q, (ii)-r, (C) (i)-r, (ii)-p, (D) (i)-q, (ii)-p, 70. A car of mass 1000 kg travelling at 32 m/s clashes into a rear of a truck of mass 8000 kg moving in the, same direction with a velocity of 4 m/s. After the collision the car bounces with a velocity of, 8 ms–1. The velocity of truck after the impact is ____________m/s, (A) 8, (B) 4, (C) 6, (D) 9, 71. A Block of mass m = 2 kg is resting on a rough inclined plane of inclination 300 as shown in fignre., The coefficient of friction between the block and the plane is µ =0.5 . What minimum force F shuld, be applied perpendicular to the plane of block so that block does not slip on the plane ? (g=10ms–2), N = F + mg cos 30, (A) zero, (B) 6.24N, (C) 2.68 N, (D) 4.3 N, 0, , 30 0, , 72. The upper half of an inclined plane of inclination, , is perfectly smooth while the lower half is rough A, body starting from the rest at top come back to rest at the bottom, then the coefficient of friction for the, lower half is given by____________, , (A) s, (B) s, (C) s, (D) s, 73. A Block of mass m = 4 kg is placed over a rough inclined plane as shown in figure, The coefficient of, friction between the block and plane is µs = 0.6. A force F = 10 N is applied on the block of an, angle at 300. The contact force between the block and the plane is ___________, F, , (A) 27.15 N, (C) 10.65 N, , (B) 16.32 N, (D) 32.16 N, , 45 0, , 65, , 30 0
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74. The motion of a particle of a mass m is describe by y ut, , 1 2, gt . Find the force acting on the, 2, , particle., (A) F = ma, (B) F = mg, (C) F = 0, (D) None of these, 75. A balloon has a mass of 10 g in air, The air escapes from the balloon at a uniform rate with a velocity, of 5 cm s and the balloon shrinks completely in 2.5 sec. calculate the average force acting on the, balloon., (A) 20 dyne, (B) 5 dyne, (C) 0 dyne, (D) 10 dyne, 76. Two bodies A and B each of mass m are fixed together by a massless spring A force F acts on the mass, B as shown in figure. At the instant shown, a body A has an acceleration a. what is the accelaration of, B?, F, , (A) m a, , A, m, , (B) F–T, , F, , (C) a m, , B, m, , F, , (D) a, , 77. With what acceleration (a) should a box descend so that a block of mass M placed in it exerts a force, Mg, on the floor of the box?, 4, , (A), , 4g, 3, , (B), , 3g, 4, , (C) g 4, , (D) 3g, , 78. A mass of 6 kg is suspended by a rope of length 2 m form the ceiling., A force of 50 N in the horizontal dircction is applied at the mid Point, , P of the rope- as shown in figure. what is the angle the rope makes, with the vertical in equilibrium ? (g = 10 ms-2) Neglect mass of the, rope., (A) 400, (B) 300, (C) 350, (D) 450, , T1, P, , 50 N, , 1m T2, w, 60 N, , 79. The minimum force required to start pushing a body up a rough (cofficient of µ ) inclined plane is F1., , While the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an, angle, (A) 4, , from the horizontal. such that tan, (B) 1, , 2, , (C) 2, 66, , F1, , than the ratio F is, 2, (D) 3
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80. When forces F1, F2, F3 are acting on a particle of mass m such that F2 and F3 are mutually perpendicular,, , then the particle remains stationary. If the force F1 is now removed than the acceleration of the, particle is, (A), , Fb, 0, m, , (B), , FF, 1 2, m, , (C), , F2 - F3, m, , (D), , F2, m, , Asseration and reason type question, , 81., , 82., , 83., , 84., , Asseration and reason are given in following question. Each question have four options. One of them is, correct select it., (a) Asseration is true. Reason is true and reason is correct explanatin for Assertion., (b) Asseration is true. Reason is ture but reason is not the correct explanatin of assertion., (c) Asseration is ture. Reason is false., (d) Asseration is false. Reason is true., Asseration : Frictional forces are conservative forces., Reason : Potential energy can be associated with frictional forces., (A) a, (B) b, (C) c, (D) d, Asseration : A body of mass 1 kg is moving with an accelaration of 1ms-1. The rate of change of its, momentum is 1 N., Reason : The rate of change of momentum of body = force applied on the body., (A) a, (B) b, (C) c, (D) d, Asseration : A body falling freely under gravity becomes weightless., Reason : R = m(g – a) = m(g – g) = 0, (A) a, (B) b, (C) c, (D) d, Asseration : It is difficult to move bike with its breaks on., Reason : Rolling friction is converted into sliding friction, which is comparatively larger., (A) a, (B) b, (C) c, (D) d, , Comprehension :According to newton's second low of mation, F= ma, where F is the force required to produce an, accelaration a in a body of mass m. If a = 0 than F = 0. If a force acts on a body for t seconds, the effect of, the force is given by impulse = F t = change in linear momentum of the body., 67
