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PHYSICS 4. A particle of mass m starts from rest and
TOPIC: Work, Energy & Power
moves in a circular path of radius R with
1. A particle of mass m is pr ojected with velocity u at an angle During the period
uniform angular accelera ion
with horizontal.
energy of the particle after n revolutions is
when the particle
descends from the highest
(b) 2n (c) n (d) m (a)n
oint to the
position where velocity vect r makes an angle
. The kinetic
with horizontal, the work done 5.
by gravitational gravitational force is
2 2 2 2 (b) mu tan 2 2 2 (c) mu cos tan 2 2 2 (d) mu cos sin
A block of mass 10kg accelerates uniformly from rest to a speed of m/s in 20 second.
(a) mu tan
The average power d veloped in time interval o to 20 second is (a) 10 w
(b) 1
(c) 20 w
(d) 2
2. A block is suspended by an ideal spring of force constant K. If the block is pulled down
6. A body is moved along a straight line by a
by applying a constant for e F and if
machine delivering constant power. The
maximum displacement of block from its
distance moved by the body in time t is
initial position is x, then
proportional to
(a)
(c)
1/2
(b) t
3/4
(b)
(a) t
(d) none of these
Conservation of
3/2
(d)t
(d) t
2
omentum
7. Two blocks A and B of equal mass are 3.
An object is acted upon b
the forces
and .
If
displacement of the object is
m,
the
the kinetic en rgy off the
released on two sides of a fixed wedge C. The acceleration of COM
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(c)
(c) down ward
(a) downward
(b) g dow ward (d)
do
nward
(d)
11. A man of mass M stand at one end of a plank of length L which li s on a frictionless horizontal surface. The
an walks to the
8. MA= 1kg, mB= 2kg, string is light and
other end of the plank. If the mass of the
inextensible. The acceleration of COM of
plank is M/3, the dista ce that the man
both the blocks
moves relative to the gro nd is
(a)
(b)
(c)
downward
(a) L
downward
(b)
(d)
12. A sphere kept on a rough inclined plane is in equilibrium by a string
(d) None of these
angle of inclination is 9. A ping-pong ball of mass m is loating in air by a jet of water emerging
out of the
nozzle. If the water strikes the ping pong ball with a speed v and just fter collision water falls dead, the rate of mass flow of water in the nozzle is equal e qual to
(c)
Rotational Motio
downward
(a)
(c)
(b)
(d) None o f these
10. A small spherical ball strikes a frictionless horizontal plane with velocity v making an
to the normal at the surface. If the
angle
coefficient of restitution is e, the particle
rapped over it. If
, the tension in the
string will be (a) mg sin
(b) 2mg/5 (c)
(d) None of these 13. Two small balls A and B each of mass m are connected by a light rigi
rod of length L.
The system is lying on frictionless horizontal surface. A particle of mass m collides with the
rod
horizontally
ith
velocity
v0
perpendicular to the rod and gets stuck to it, the velocities of A a d B immediately after collision
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(a) VA =0, VB = V0/2 (b) VA =V0/ , VB = V0/2
rest after the impact, then find the
(c) VA =0, VB = V0
impulsive reaction at A
(d) VA=V0/2, VB= V0
14. A uniform circular disc of radi s r is placed on a rough horizontal surface and given a linear velocity v 0 and angular velocity The disc comes to rest after
.
oving some
distance towards right. It follo s that
(b) (a)
(c) mv (d) 2Mv
(a) 3v0=2w0r 17. The pulleys are identical , each of radius R
r
(b) 2 v 0=
and moment of inertial I. The acceleration of block M is
(c)V0 =
(a)
(d)2V0 = 3
15. Two discs A and B touches e ach other. A
(b)
(c)
2
rope tightly wound on a is pul ley at 2m/s . Find the friction force betwe n a and B if slipping is absent.
(d) None of these
Circular Motion 18. A particle P is moving on a circle under the action of only one for ce acting always (a) 2N
(b) 4N (c) 0.5N
(d) 3N
towards fixed point O on he circumference.
and is
The ratio of 16. A uniform rod AB of length L and mass m is suspended freely at A and hangs vertically
(b) cos2 (a) 2sin
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19. A point moves along a circle h ving a radius
23. For the given arrangement the coefficient
20cm with constant tangential acceleration
of friction between the t o blocks is . The
2
5cm/s . How much time is
eeded after
blocks are identical, th
motion begins for the normal acceleration
each block is
of the point to be equal to tangential
(b) (c)
acceleration? (a) 2s
(b) 4s
s
(c)
(d)
s
acceleration of
(a)
(d)zero 20. The bob of a simple pendulum of length 1m has mass 100gm and speed o f 1.4 m/s at lowest path in its path. The t nsion in the
(b) 2.4 N
(c) 1.2 N
(d) 0.6 N
The tension in the strin
suspended from
the ceiling is
string at this instant will be (a) 3.6 N
24. In the arrangement show in figure M>> m.
(a) 4mg (b) 2mg (c) zero
21. A particle of mass m starts t
slide down
(d) None of these
from the top of a fixed sm oth sphere. What is the acceleration when it breaks off
respectively are connected by a massless
the sphere?
(a)
25. Two blocks A and B of mass 2m and m
(b)
(c) g
(d)
and inextensible string. T e whole system is suspended by a massless spring. The magnitudes of accelera ion of A and B
Laws of Motion 22. A smooth rod of length l is
immediately after the ept inside a
respectively
trolley at an angle , What should be he
(a) g, g/2
acceleration a of the trolley so that the rod
(b) g/2, g
remains in equilibrium with res pect to it.
(c) g, g
(a) g tan
(d) g/2, g/2
tring is cut, are
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26. Three masses m1, m2, m3 are ttached to a
29. A light passing through air has wavelength
pulley –string system. All thre e masses are
6000 Å . Wavelength whe same ray passes
held at rest and then released. To keep m3
through a glass slab of ref ractive index 1.5 is
at rest, the condition is
(a) 4000 Å
(b)2 00 Å
(c)8000 Å
(d) 1 00 Å
(a)
(b) m1 +m2 =m3
30. A thin lens (
(c) (d)
has power -5D in air.
Its power in a medium
f refractive index
1.6 will be
D (c) D
D D (d)
(a)
RAY OPTICS
27. When an equiconvex lens (
is
placed over a plane mirror, th n object and its image coincide at 15 cm.
(b)
hen a liquid
31. A paper weight is hemispherical with radius 3cm. It is kept on a
rinted page, the
in the gap
printed letter will appear at a heigh – from
between mirror and lens, the bject and its
the centre of the hemisp ere when viewed
image coincide at 40 cm. Find he refractive
vertically
of refractive index
index
is fille
of the liquid
(a) 0
(b) 1cm (c) 2c
32. A ray deviates at 90
(d) -3 cm
after suffering
reflection from a mirr r. The angle of incidence is (a) 90 (a)
(b)
(c)
(d)
0
28. A crown glass prism of refracti ng angle 6 is used for deviation without disp ersion with a flint glass of angle of prism glass
=
1.513 and
=
.
For crown
1.523. For flint
0
(b) 30
0
(c)60
0
(d) 45
0
33. To what depth can a ve sel be filled with
) so that it
water (
ppears half filled.
(Height of vessel is h.)
(a)
(b) h
(c) h
(d) h
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mirror such that image of the t o coincides. The focal length of concave mir ror is (a) 21 cm
(b) 18 cm
(c) 15 cm
(d) None o these
(c)
(d)
39. A rectangular block of ref ractive ractive index placed on a printed
is
age lying on a
horizontal surface as shown in fig. The 35. A prism can produce a minim m deviation
minimum value of
so that the letter L on
in a light beam. If three such prisms are
the page is not visible from any of the
combined, the minimum devia tion that can
vertical sides is
be produced in this beam is (a) 0
(b)
(c) 2
(d) 3
36. A convex lens forms a full i age of the object on a screen. If half o f the lens is covered with opaque paper, then
(a)
(b)
(a) the image disappears (b) half of the image is seen
(c)
(d)
(c) full image of same intensity is seen (d) full image with decreased intensity is seen
37. A glass slab of thickness 4 cm contains the same number of waves as 5 cm of water when both are traversed b y the same monochromatic light. If the re ractive index
40. A ray of light travels from a denser to a rarer medium. The critical angle for two media is C. The maximum possible deviation of the ray will be
(a)
(c) 2C
C) (d)
(b)
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ANSWER KEY Q.NO
1
2
3
4
5
6
7
8
9
10
ANS
C
B
C
B
B
C
A
B
C
C
Q.NO
11
12
13
14
15
16
17
18
19
20
ANS
D
C
A
B
A
B
B
C
A
C
Q.NO
21
22
23
24
25
26
27
28
29
30
ANS
B
D
C
A
B
A
C
A
A
C
Q.NO
31
32
33
34
35
36
37
38
39
40
ANS
A
D
B
A
B
D
C
D
C
D