Friday, February 14, 2014

physics exam

PHYSICS EXAM

1.        Which of the following is correct if ‘m’ is the magnitude and ‘u’ is the unit
A.       mu = constant
B.       m1u1 = m2u2
C.        m α u
D.       All the above.
2.        If the pitch of a screw is 1 mm and its circular scale is divided into 100 equal parts, its least count is
A.       1000 micrometer
B.       100 micrometer
C.        10 micrometer
D.       0.1 micrometer
3.        The mass of a body is (50±0.5) gram. The percentage error in measurement of mass is
A.       0.5%
B.       1%
C.        2%
D.       4%
4.        Four balls are projected with the same initial speed at upward angles 200, 300, 400 and 600 to the horizontal. The ball which strikes the ground first is  
A.       4th ball
B.       3rd ball
C.        2nd ball
D.       1st ball
5.        The length of a right cylinder increases due to heating by 1%. Then its base area will increase by
A.       1%
B.       2%
C.        3%
D.       4%
6.        The number of significant figures in 0.0092 is
A.       4
B.       3
C.        2
D.       1
7.        The quantity that remains constant in projectile motion is
A.       KE
B.       PE
C.        Momentum
D.       acceleration
8.        A stone is projected with a velocity 100m/s at an angle 300 to the horizontal. The time to reach the highest point is
A.       10s
B.       20s
C.        5s
D.       2.5s
9.        A projectile is projected at an angle A. If the maximum height reaches is ¼th the horizontal range, then tan A
A.       1
B.       2
C.        3
D.       4
10.     If the maximum horizontal range is 100m, the maximum height reached during the throw is  
A.       100m
B.       50m
C.        25m
D.       12.5m
11.     When the angle of projection is A, the range is R. when the angle of projection is doubled the range is
A.       2R
B.       2RcosA
C.        2RsinA
D.       2Rcos2A
12.     After time t the height y of a projectile is y = 4t – 5t2 and horizontal distance x = 3t. if g = 10m/s2, the velocity of projectile at the starting point is
A.       7m/s
B.       1m/s
C.        12m/s
D.       5m/s
13.     A projectile is projected at an angle of projection tan-1 (4/3). The ratio of its horizontal range to the greatest height reached is
A.       2:1
B.       3:1
C.        4:1
D.       5:1
14.     A body is projected at an angle such that KE at the highest point is reduced to half the KE at the point of projection. The angle of projection is  
E.        300
F.        450
G.       600
H.       750
15.     An aircraft has a takeoff velocity `80 km/hr. the length of runway needed if the aircraft’s average acceleration along the ground is 2.5 m/s2 will be
A.       100m
B.       150m
C.        320m
D.       500m
16.     An aircraft has a takeoff velocity `80 km/hr. the length of runway needed if the aircraft’s average acceleration along the ground is 2.5 m/s2 will be
E.        100m
F.        150m
G.       320m
H.       500m
17.     A sprinter has a maximum speed of 10 m/s and reaches that speed by an acceleration of 2.5 m/s2. The time he takes to run 100m is
A.       12s
B.       14s
C.        16s
D.       10s
18.     A body of mass 1kg at rest is acted on by a force and the distance moved by the body is given by the equation S =6t2. The work done by the force in 3 seconds is
A.       188 J
B.       576 J
C.        144 J
D.       648 J
19.     A 120m long train is moving west at a speed of 10 m/s. a small bird flying east at a speed of 5 m/s crosses the train. The time taken by the bird to cross the train will be
E.        4s
F.        8s
G.       12s
H.       24s
20.     The position of a particle at time t is given by x = 2 + 3t + 4t2 . then the particle is moving with 
I.         uniform acceleration
J.         uniform velocity
K.        variable acceleration
L.        Variable velocity.
21.     A body starting from rest slides down an inclined plane of length L and reaches the foot of the plane with a speed of 10m/s. if the length of the plane is doubled the velocity on reaching the ground is
A.       10m/s
B.       14.1m/s
C.        17.3m/s
D.       20m/s
22.     From a balloon ascending vertically with a velocity 29.4 m/s a stone is dropped when it is at height of 78.4m. the time taken by it to reach the ground is
A.       2s
B.       4s
C.        6s
D.       8s
23.     If the resultant of two forces F and F is equal to √2F, the angle between them is
E.        0
F.        45
G.       90
H.       180
24.     Of the following forces the set which will not definitely keep a body in equilibrium is the set
A.       5, 10, 12
B.       5, 6, 12
C.        8, 7, 12
D.       4, 5, 6
25.     If A = 4i + 4j + 4k and B = 3i + j -4k, then the angle between vectors A and B is
A.       0
B.       45
C.        90
D.       180
26.     If A = 2i – 2j +k and B = 3i + 5j + µk are perpendicular to each other then µ is given by
A.       0
B.       12
C.        14
D.       4
27.     If a particle moves in a circle, describing equal angles in equal intervals of time, its linear velocity vector
A.       Remains constant
B.       Changes in magnitude
C.        Changes in direction
D.       Changes both in magnitude and direction           
28.     The earth makes one revolution about its axis in 24 hours. The centripetal acceleration of a point on its equator is nearly
A.       340 cm/s2
B.       3.4 cm/s2
C.        34 cm/s2
D.       0.34 cm/s2
29.     A wheel with radius 5 cm rotates so that the relationship between the angle of the rotation of the wheel, radius and time is described by the equation Θ = A + Bt + Ct2 +Dt3, where D = 1 rad/s3 . the change in tangential acceleration during each second of the motion for the point on the rim is
A.       0.3 m/s2
B.       3 m/s2
C.        0.03 m/s2
D.       0.08 m/s2
30.     When a bullet of mass 5kg is fired, the impulse on it is 200 Ns. If the mass of the gun is 10kg, then the recoil velocity of the gun is
A.       20 m/s
B.       2 m/s
C.        0.2 m/s
D.       0.02 m/s
31.     A particle is moving with a constant speed along straight line path. A force is not required to
A.       Increase the speed
B.       Decrease the momentum
C.        Change the direction
D.       Keeps it moving with uniform velocity.
32.     Two blocks of mass 4 kg and 6 kg are placed along a smooth horizontal surface. If we apply a push of 5N on the heavier mass, the force on the lighter mass will be
A.       5N
B.       4N
C.        3N
D.       2N
33.     A fireman wants to slide down a rope. The breaking force for the rope is ¾ of the weight of the man. The minimum acceleration with which the fireman should slide down is
A.       ¼ g
B.       ½ g
C.        ¾ g
D.       Zero
34.     A rain drop of mass 0.1g is falling with uniform speed of 10m/s. the net force acting on the drop is
A.       Zero
B.       2 X 10-3 N
C.        10-3 N
D.       10-2
35.     A body at rest may have
A.       Energy
B.       Momentum
C.        Speed
D.       Velocity
36.     A light and heavy body has equal KE. Which one has a greater momentum
A.       The light body
B.       The heavy body
C.        Both do have the same
D.       The data given is incomplete
37.     Two masses of 1g and 4g are moving with equal KEs. The ratio of the magnitudes of their linear momentum is
A.       4:1
B.       √2:1
C.        1:2
D.       1:16
38.     A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time power of the motor have to be increased to
A.       2 times
B.       4 times
C.        8 times
D.       75 times
39.     A bullet fired at a target 80m/s and penetrates 50cm into it. If the bullet were fired into a target 25cm thick with equal velocity with what velocity would it emerge, suppose the resistance to be uniform and the same in both the cases
A.       √30m m/s
B.       10/√2 m/s
C.        40 m/s
D.       40√2 m/s
40.     A boy pulls a chain of mass M and length L hanging vertically downwards from a roof top. The workdone by him is
A.       ½MgL
B.       MgL
C.        ½ MgL2
D.       MgL2
41.     A bag of sand of mass M is suspended by a string. A bullet of mass m is fired at it with velocity v and gets embedded into it. The loss of KE in this process is
A.       ½ mv2 x 1/(M + m)
B.       ½ mv2
C.        ½ mv2 x M/(M + m)
D.       ½ mv2 x M/m
42.     If the KE of a body is increased by 300%, its momentum will increase by
A.       100%
B.       150%
C.        √300%
D.       175%
43.     If a shell fired from a cannon explodes in midair, its total
A.       Momentum increases
B.       Momentum decreases
C.        KE increases
D.       KE remains unchanged
44.     Which of the following is different from others
A.       Watt sec
B.       Coulomb Volt
C.        Newton meter
D.       Coulomb Farad
45.     Power is given by product of
A.       Force and Velocity
B.       Work and time
C.        Force and displacement
D.       Work and displacement
46.     MKS unit of gravitational constant is
A.       Nm2/kg2
B.       N/kgm2
C.        Nm/kg
D.       N2m/kg2
47.     A satellite is orbiting around the earth in a circular orbit. It moves with
A.       Constant speed
B.       Constant acceleration
C.        Constant angular acceleration
D.       None of the above
48.     A body is projected into space from the earth’s surface with escape velocity. At the time of projection its total energy will be
A.       PE
B.       KE
C.        Partially PE and partially KE
D.       Half KE and half PE
49.     Unit masses 1kg each are placed at 1m, 2m, 4m, 8m, ……. From a point 0. The gravitational field due to this distribution of masses at 0 is. ( G is universal gravitational constant)
A.       4/3 G
B.       ¾ G
C.        2G
D.       Infinite
50.     A solid sphere rolls on a horizontal table. Then the ratio of its rotational KE to its total energy
A.       1:2
B.       1:1
C.         2:5
D.        2:7
51.     A stone of mass 4kg is whirled in a horizontal circle of radius 1m and makes 2rev/sec. the angular momentum of the stone about the axis of rotation is
A.       320J
B.       640J
C.        160J
D.       80J
52.     The unit of torque will be
A.       Kgm2/sec2
B.       Kg m
C.        Kg m/sec2
D.       Kg / m2sec2
53.     Two discs have same mass and thickness. Their materials are of densities d1 and d2. The ratio of their moment of inertia about central axis will be
A.       d1 : d2
B.       d1d2 : 1
C.        1 :  d1 d2
D.       d: d1
54.     fly wheel is an important part of steam engine because
A.       it accelerates the speed of engine
B.       if gives strength to the engine
C.        it decreases the moment of inertia
D.       it helps the engine in keeping the speed uniform
55.     If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arms then
A.       The angular velocity decreases.
B.       The moment of inertia decreases.
C.        The angular velocity remains constant
D.       The angular momentum increases.
56.     The angular velocity of second’s hand of a clock is
A.       60 rad/s
B.       2π rad/s
C.         π/60 rad/s
D.       π/30 rad/s
57.     if the earth suddenly contracts to half of its radius without change in its mass, the length of the day will become
A.       6 hours
B.       96 hours
C.        48 hours
D.       24 hours
58.     The separation between carbon and oxygen molecules in CO is 1.2A.  what is the distance of centre of mass from carbon atom
A.       0.51A
B.       0.69A
C.        0.91A
D.       0.43A
59.     Match the following
1Chadwick
AEM theory
2Maxwell
BNeutron
3Hess
CWeak EMI interaction.
4Abdusalam
DCosmic Rays
A.       1A,2B,3C,4D
B.       1B,2C,3D,4A
C.        1B,2A,3D,4c
D.       1B,2C,3A,4D
60.     Match the following
1Cyclotron
ALawrence
2Transistor
BBardeen
3Natural radioactivity
CBequerel
4Electron
DThomson
A.       1c,2a,3b,4d
B.       1a,2b,3c,4d
C.        1b,2a,3c,4d
D.       1d,2c,3a,4b




Answers
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Correct Key
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31

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32

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33

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36

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