More than 15 years Teaching Experience XI &XII (CBSE & ICSE BOARD)
8. 1.
Two racing cars of masses m1 and m2 are moving in circles
(a) Zero
of radii r 1 and r 2 respectively. Their speeds are such that
2.
(b) r 1 : r 2
(c) 1 : 1
(d) m1r 1 : m2 r 2
9.
1.0 m
(b) Acceleration (d) Displacement
B
A particle moves in a circle of radius 25 cm cm at two revolutions per second. The acceleration of the particle in 10.
(b) 8 2
(a) 2 (c)
4 2
(d)
2 2
What is the value of linear velocity, if 3i
ˆ
r 5i
ˆ
5.
4 j k ˆ
ˆ
and
6 j 6k
ˆ
ˆ
(a)
6i
(c)
4i
ˆ
ˆ
2 j
ˆ
3k
ˆ
13 j 6k ˆ
18i 13 j
(b)
(d) 6i
ˆ
ˆ
ˆ
ˆ
2k
11.
ˆ
2 j 8k ˆ
ˆ
7.
(d) 0.71
(d) Zero
A block of mass m at the end of a string is whirled round in a vertical circle of radius R . The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is (a) Rg
(b) ( Rg )2
(c) R / g
(d)
A particle moves in a circular path with decreasing speed. Choose the correct statement.
(d) The direction of angular momentum momentum remains constant 12.
13.
An aeroplane is flying horizontally with a velocity of 600 km /h /h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B point B.. The distance AB distance AB is is (a) 1200 m
(b) 0.33 km
(c) 3.33 km
(d) 33 km
A ball is thrown upwards and it returns to ground desc ribing a parabolic path. Which of the follo wing remains constant
The maximum velocity (in ms–1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is
(a) Kinetic energy of the ball
(a) 60
(b) 30
(d) Vertical component of velocity
(c) 15
(d) 25
NEET -2 TEST SERIES
Rg
(c) Particle moves in a spiral path with decreasing radius
If a cyclist moving with a speed of 4.9 m/s on m/s on a level road can take a sharp circular turn of radius 4 m, then coefficient of friction between the cycle tyres and road is (c) 0.61
(c) 1.0 m / s
(d) Kinetic energy changes by MV 2
(b) 0.51
(b) 2.0 m / s
(b) Acceleration ( a ) is towards the center
(a) Kinetic energy changes by MV / 4 (b) Momentum does not change (c) Momentum changes by 2 MV
(a) 0.41
(a) 3.14m / s
(a)Angular momentum remains constant
A particle of mass M is moving in a horizontal circle of radius R R with uniform speed V . When it moves from one point to a diametrically opposite point, its 2
6.
In 1.0 s 1.0 s,, a particle goes from point A to point B,, moving in a A to point B semicircle of radius 1.0 m (see figure). The magnitude of the average velocity is A
m / s 2 is
4.
(d) 2 31.4 m / s
A particle is moving in a horizontal circle with constant speed. It has constant (a) Velocity (c) Kinetic energy
3.
(b) 31.4 m/s
(c) 3.14 m/s
each makes a complete ci rcle in the same duration of time t . The ratio of the angular speed of the first to the second car is (a) m1 : m2
An object is moving in a circle of radius 100 m with a constant speed of 31.4 m/s. m/s. What is its average speed for one complete revolution
(b) Speed of the ball (c) Horizontal component of velocity
TEST -1
(DIMENSIONS, 2D, WORK POWER & ENERGY)
P.L SHARMA ROAD, OPP. SAGAR COPUTEX, MEERUT .
Page 1
More than 15 years Teaching Experience XI &XII (CBSE & ICSE BOARD) 14.
The height y and the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding 2
atmosphere) are given by y (8 t 5t ) meter and x 6t
(d)
meter , where t is in second. The velocity with which the projectile is projected is
21.
(a) 8 m / sec sec
2 1 2
m / s 2 toward north-east
m / s 2 toward north-west
A force acts on a 30 gm gm particle in such a way that the position of the particle as a function of time is given by
(c) 10 m / sec sec
x 3t 4 t 2 t 3 , where x is in metres metres and t is in seconds. The work done during the first 4 seconds is
(d) Not obtainable obtainable from the data data
(a) 5.28 J 5.28 J
(b) 450 mJ
(c) 490 mJ
(d) 530 mJ
(b) 6 m / sec sec
15.
1
(c)
A body is projected at such an angle that the horizontal range is three times the greatest height. The angle of projection is
22.
A force ( F ) 3i
ˆ
c j 2k acting on a particle causes a ˆ
ˆ
16.
17.
o
displacement: ( s ) 4i
ˆ
o
(a)
25
(b) 33 7
(c)
42 o 8
(d) 53 o 8
8
R
(c)
t 1t 2
1
R
2
(b) t 1 t 2
R
(d) t 1 t 2
(c)
(b)
o
45
30
23.
1
R 2
A particle is acted upon by a force of constant magnitude which is al ways perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that (a) Its velocity is constant (b) Its acceleration is constant (c) Its kinetic kinetic energy is constant (d) It moves in a straight line
24.
o
(d) 60 o
A long horizontal rod has a bead which can ca n slide along its length, and initially placed at a distance L distance L from from one end A end A of of the rod. The rod is set in angular angular motion about A A with constant angular acceleration . If the coefficient of friction between the rod and the bead is , and gravity is neglected, then the time after which the bead starts sl ipping is (a)
(c)
1
(b)
A man starts walking from a point on the surface of earth (assumed smooth) and reaches diagonally opposite point. What is the work done by him
26.
1
Cx 12
(a) Cx 12
(b)
(c)
(d) Zero
Cx 1
2
Natural length of a spring is 60 cm, cm, and its spring constant is 4000 N/m. is hung from it. The extension N/m. A mass of 20 kg is produced in the spring is, (Take g 9.8 m / s 2 )
(d) Infinitesimal
The driver of a car travelling at velocity v suddenly see a broad wall in front of him at a distance d. He should
27.
(a) Brake sharply (b) Turn sharply (c) (a) and (b) both (d) None of the above A particle is moving eastwards with velocity of 5 m / s. 20. s. In 10 sec the sec the velocity changes to 5 m / s northwards. s northwards. The average acceleration in this time is (a) Zero 1 (b) m / s 2 toward north-west 2 NEET -2 TEST SERIES
(b) Positive
(c) Negative (d) Nothing can be said from x 25. A particle moves under the effect of a force F = Cx from x = 0 to x . The work done in the process is x 1
19.
ˆ
(b) 1 (d) 12
(a) Zero 18.
ˆ
(a) 0 (c) 6
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is (a) Zero
2 j 3k in its own direction. If the
work done is 6 J , then the value of ' c ' is
For a given velocity, a projectile has the same range R for two angles of projection if t 1 and t 2 are the times of flight in the two cases then (a) t 1 t 2
(a) 4.9 cm
(b) 0.49 cm
(c) 9.4 cm
(d) 0.94 cm
The potential energy between two atoms in a molecule is a b given by U ( x ) 12 6 ; where a and b are positive x x constants and x is the distance between the atoms. The atom is in stable equilibrium when (a) x 6
11a 5b
(c) x 0
TEST -1
(b)
x 6
(d) x 6
a 2b 2a
b
(DIMENSIONS, 2D, WORK POWER & ENERGY)
P.L SHARMA ROAD, OPP. SAGAR COPUTEX, MEERUT .
Page 2
More than 15 years Teaching Experience XI &XII (CBSE & ICSE BOARD) 28.
If the linear momentum is increased by 50%, the kinetic energy will increase by (a) 50% (b) 100% (c) 125%
29.
35.
36.
(b) More than that of the bullet (c) Same as that of the bullet (d) Equal or less than that that of the the bullet
31.
If a body looses half of its velocity on penetrating 3 cm in cm in a wooden block, then how much will it penetrate more before coming to rest (c) 3 cm
(d) 4 cm
37.
(b) 3.5 10 4 J
(c) 4.8 10 4 J
(d) 5.2 10 4 J
38.
39.
34.
(b) 7.5 W
(c) 6.5 W
(d) 4.5 W
ˆ
(a) 0.15 m / sec sec
(b) 1.5 m / sec sec
(c) – 0.15 m / sec sec
(d) None of the above
Two balls at same temperature collide. What is conserved
238
A
U nucleus decays by emitting an alpha particle of
1
. The recoil speed of the residual nucleus is (in
(a)
4v /
234
(b) v / 4
(c)
4v /
238
(d) 4v / 238
Two equal masses m1 and m2 moving along the same
(c) – 4 m / s and s and + 4 m / s s (d) – 5 m / s s and + 3 m / s s
M
40.
2 M
A body of mass M 1 collides elastically with another mass
M 2 at rest. There is maximum transfer of energy when (a) M 1
M 2
time t 1 . As a function of time t , the instantaneous power
(b) M 1
M 2
delivered to the body is
(c) M 1
M 2
t 1
5k)m. The power
Two solid rubber balls A balls A and and B B having masses 200 and 400 gm gm respectively are moving in opposite directions with velocity of A A equal to 0.3 m / s. s. After collision the two balls come to rest, then the velocity of B is B is
A body of mass m accelerates uniformly from rest to v1 in
(c)
straight line with velocities + 3 m / s and s and – 5 m / s respectively s respectively collide elastically. Their velocities after the collision will be respectively
KL2
mv1 t 2
ˆ
(a) + 4 m / s for s for both (b) – 3 m / s s and +5 m / s s
MK L
t 1
4 j
ms 1 )
ML2 (b) K
mv1t
(a) 9.5 W
speed v ms
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L length L.. The maximum momentum of the block after collision is
(a)
ˆ
(d) Momentum
(a) Zero
33.
4k N acts on a body for 4 second,
(c) Kinetic energy
(a) 2.5 10 4 J
(d)
(b) Velocity
A bomb is kept stationary at a point. It suddenly explodes into two fragments of masses 1 g and 3 g . The total K.E. of
(c)
ˆ
(a) Temperature
the fragments is 6.4 10 4 J . What is the K.E. of the smaller fragment
32.
3 j
used is
A bullet is fired from a rifle. If the rifle recoils freely, then the kinetic energy of the rifle is
(b) 2 cm
ˆ
(d) 25%
(a) 1 cm
ˆ
produces a displacement of (3i
(a) Less than that of the bullet bullet
30.
A force of 2i
(b)
(d)
mv12t
(d) Same for all values of M 1 and M 2
t 1 41.
mv12 t t 12
Power of a water pump is 2 kW . If g 10 m / sec 2 , the
(a)
amount of water it can raise in one minute to a height of 10 m is (a) 2000 litre
(b) 1000 litre
(c) 100 litre
(d) 1200 litre
NEET -2 TEST SERIES
A space craft of mass M ' M ' and moving with velocity ' v' suddenly breaks in two pieces of same mass m. After the explosion one of the mass ' m' becomes stationary. What is the velocity of the other part of craft
(c)
TEST -1
Mv M m Mv m
(b) v (d)
M m v m
(DIMENSIONS, 2D, WORK POWER & ENERGY)
P.L SHARMA ROAD, OPP. SAGAR COPUTEX, MEERUT .
Page 3
More than 15 years Teaching Experience XI &XII (CBSE & ICSE BOARD) 42.
A mass 'm ' m' moves with a velocity ' v' and collides inelastically with another identical mass. After collision the Ist mass moves with velocity
v
48.
in a direction perpendicular to the
(a) t 1 / 2
3
initial direction of motion. Find the speed of the 2 nd mass after collision 2
(a)
3
49.
v m
3
43.
At rest m
before collision
(c) v (d)
(c)
v
v
(b)
After collision
A bullet of mass a and velocity b is fired into a large block of mass c. The final velocity of the system is (a) (c)
ab ab c
b
(b)
.a
(d)
ac ac a
t 3 / 2
50.
3 2
(b) 2v cos
v cos
(d)
3 2
v cos
A particle is placed at the origin and a force F kx is acting on it (where k is positive constant). If U (0) 0 , the graph
b
of U ( x ) versus x will x will be (where U is the potential energy function)
b
U ( x x )
(a) 44.
(d) t 2
A shell is fired from a cannon with velocity v m / sec sec at an angle 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 sec of the other piece immediately after the explosion is
(c)
a
(b) t 3 / 4
(a) 3v cos
3v
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 is proportional to ANS C
x
A bullet hits and gets embedded in a solid block resting on a horizontal frictionless table. What is conserved ? (a) Momentum and kinetic energy
U ( x x )
(b)
U ( x x )
(b) Kinetic energy alone (c)
(c) Momentum alone
x
U ( x x ) x
(d)
x
(d) Neither momentum momentum nor kinetic kinetic energy energy 45.
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) The mechanical energy of the ball remains the the same in the collision (c) The total momentum of the ball and the earth earth is conserved (d) The total energy of the ball and the earth is conserved
46.
47.
A uniform chain of length L 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 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
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 where x is is in meters and t is is in seconds. The work done by the f orce in the first 6 seconds is (a) 9 J 9 J
(b) 6 J 6 J
(c) 0 J 0 J
(d) 3 J 3 J
NEET -2 TEST SERIES
TEST -1
(DIMENSIONS, 2D, WORK POWER & ENERGY)
P.L SHARMA ROAD, OPP. SAGAR COPUTEX, MEERUT .
Page 4
