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4. A force-time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and 8 second is

(a)  -2π newton×second        (b) Zero newton×second (c)  +4π newton×second       (d)  -6π newton×second Answer: b (11)

26. When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. How many rotations will it make in the next 3 seconds (Assume uniform angular acceleration)

(a)           10 (b)          20 (c)           30 (d)          40 Ans. c (13)

1. The weight of an aeroplane flying in the air is balanced by

(a)      Vertical component of the thrust created by air currents striking the lower surface of the wings (b)  Force due...

2. When a body is stationary

(a)      There is no force acting on it (b)  The force acting on it is not in contact with it...

A 10kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=8 cm

(a)    8×10-2  joules (b)   16×10-2  joules (c)    4 ×10-4   joules (d)     1.6 ×10-3   joules Answer: A (27)

3. Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

(a)      45° (b)                                      120° (c)   150°                                   (d)  60° Ans . b (10)

Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x =0 to x=35 m is equal to

(a)  50 J                                     (b)  25 J (c)   287.5 J                          (d)  200 J Answer:c (16)

4. Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is

(a)       c0s -1 (-17/18)                           (b) cos -1 (-1/3) (c)    cos -1...

Let F be the force acting on a particle having position vector r vector and T vector be the torque of this force about the origin.  Then

(a) r vector X T vector=0  and F vector X T vector =0 (b) r vector X T vector =...

28. Let A vector be a unit vector along the axis of rotation of a purely rotating body and B vector  be a unit vector along the velocity of a particle P of the body away from the axis. The value of A vector X B vector is

(a)           1 (b)          – 1 (c)           0 (d)          None of these Ans. c (9)

A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by

(a)        ymax=20m (b)      ymax= 15m (c)      ymax= 11m (d)    ymax = 5m...

27. A jet engine works on the principle of

(a)      Conservation of mass (b)  Conservation of energy (c)   Conservation of linear momentum (d)  Conservation of angular momentum Ans. c...

25. A rigid body is rotating with variable angular velocity (a-bt) at any instant of time t. The total angle subtended by it before coming to rest will be (a and b are constants)

(a)    (a-b)a/2 (b)   a2/2b (c)   a2-b2/2b (d)  a2-b2/2a Ans. b (15)

26. At a certain instant of time the mass of a rocket going up vertically is 100 kg. If it is ejecting 5 kg of gas per second at a speed of 400 m/s, the acceleration of the rocket would be (taking   g = 10 m/s ^2

(a)   20m/s 2                                    ...

25. A rocket can go vertically upwards in earth’s atmosphere because

a) It is lighter than air (b)  Of gravitational pull of the sun (c)   It has a fan which displaces...

24. A bullet mass 10 gm is fired from a gun of mass 1kg. If the recoil velocity is 5 m/s, the velocity of the muzzle is

(a)      0.05 m/s                                   (b)  5 m/s (c)   50 m/s                               (d)  500 m/s Ans. d (5)

24. A sphere is rotating about a diameter

(a)   The particles on the surface of the sphere do not have any linear acceleration (b)  The particles on the...

23. A bullet of mass 0.1 kg is fired with a speed of 100 m/sec, the mass of gun is 50 kg. The velocity of recoil is

(a)  0.2 m/sec                          (b)  0.1 m/sec (c)   0.5 m/sec                          (d)  0.05 m/sec Ans. a (13)

A bullet is fired from a gun. The force on the bullet is given by f =  600- 2 x 10 5 t where F is in newtons and t in seconds. The force on the bullet becomes zero as soon as it leaves the barrel. What is the average impulse imparted to the bullet

(a)  9 Ns                                    (b)  Zero (c)   0.9 Ns                                 (d)  1.8 Ns ans. c (26)

21. A body of mass 0.25 kg is projected with muzzle velocity 100ms ^-1 from a tank of mass 100 kg. What is the recoil velocity of the tank

(a)  5 ms -1                               (b) 25ms -1...

22. A particle starts rotating from rest. Its angular displacement is expressed by the following equationθ =0.025t square-0.1t where θ is in radian and t is in seconds. The angular acceleration of the particle is 

(a)   0.5 rad/sec2 at the end of 10 sec (b)     0.3 rad/sec2 at the end of 2 sec (c)  ...

A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L. The block at one end is given a speed v towards the next one at time t=0 . All collisions are completely inelastic, then

(a)      The last block starts moving at  t=(n-1)L/v (b)  The last block starts moving at  t=n(n-1)L/2v (c)   The centre of...

A particle P moving with speed v undergoes a head -on elastic collision with another particle Q of identical mass but at rest. After the collision

(a)  Both P and Q move forward with speed  v/2 (b)  Both P and Q move forward with speed  v/√2...

A body of mass m moving with velocity v collides head on with another body of mass 2m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be

(a)  1 : 1                                    (b)  2 : 1 (c)   4 : 1                                    (d)  9 : 1 Answer: d (8)

Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles  θ1 and  θ2 respectively with the initial direction of motion. The sum of the angles  θ1+θ2, is

(a)  45°                                     (b)  90° (c)  135°                                   (d)  180° Answer:b (9)

Two particles of masses  m1  and  m2  in projectile motion have velocities

(a)  Zero                          (b) (m1+m2)gt0 (c) 2(m1+m2)gt0     ...

15. A vessel at rest explodes into three pieces. Two pieces having equal masses fly off perpendicular to one another with the same velocity 30 meter per second. The third piece has three times mass of each of other piece. The magnitude and direction of the velocity of the third piece will be

(a)   10√2 m/second  and 135° from either (b)   10√2 m/second  and 45° from either (c)   10/√2 m/second  and 135° from...

A shell is fired from a cannon with velocity v m/sec at an angle θ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in m/sec of the other piece immediately after the explosion is

(a)     3v cosθ                         (b) 2v  cosθ (c)   ...

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

(a)     t1/2                               (b)  t3/4 (c) ...

Consider the following two statements 1. Linear momentum of a system of particles is zero 2. Kinetic energy of a system of particles is zero Then

(a)  1 implies 2 and 2 implies 1 (b)  1 does not imply 2 and 2 does not imply 1...

An open knife edge of mass ‘m’ is dropped from a height ‘h’ on a wooden floor. If the blade penetrates upto the depth ‘d’ into the wood, the average resistance offered by the wood to the knife edge is

(a)  mg                  (b)  mg (1-h/d) (c)   mg  (1+h/d)         ...

The kinetic energy acquired by a mass m in travelling a certain distance d starting from rest under the action of a constant force is directly proportional to

(a)  √m                                  (b)  Independent...

A particle free to move along the x-axis has potential energy given by U(x) = K [1-exp(-x)2] for – ∞<–x<–+∞, where k is a positive constant of appropriate dimensions. Then 

(a)  At point away from the origin, the particle is in unstable equilibrium (b)  For any finite non-zero value of...

A ball hits the floor and rebounds after inelastic collision. In this case

(a)  The momentum of the ball just after the collision is the same as that just before the collision (b) ...

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on to the table is 

(a)  MgL                                    (b)  MgL/3 (c)   MgL/9                                (d)  MgL/18 Answer: D (7)

If   W1, W2 ,and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W1, W2 and W

(a)       W1>W2>W3 (b)   W1=W2=W3 (c)  W1<W2<W3 (d)  W2 >W1>W3 Answer: b   (14)

A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to -K/r2 , where K is a constant. The total energy of the particle is

a)    K/2r                        (b)  – (K/2r) (c)     ...

The displacement x of a particle moving in one dimension under the action of a constant force is related to the time t by the equation t=√x+3 , where x is in meters and t is in seconds. The work done by the force in the first 6 seconds is

(a)  9 J                                       (b)  6 J (c)   0 J                                       (d)  3 J Answer: C (6)

A force F = -K(yi+xj) (where K is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the force F on the particles is

(a)     -2 Ka2                           (b)  2 Ka2 (c) ...

A lorry and a car moving with the same K.E. are brought to rest by applying the same retarding force, then

(a)  Lorry will come to rest in a shorter distance (b)  Car will come to rest in a shorter distance...

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