QUEST
TUTORIALS
Head Office
: E16/289, Sector8, Rohini, New Delhi, Ph. 65395439
Q161.
A long sprig when stretched by x cm has a potential energy V. on increasing the stretching to nx cm, the potential
energy stored in the spring
will be
(a) v/n
(b) nv
(c) n
2
v
(d) v/n
2
Q162.
Two bodies of masses m and 4m are moving with equal kinetic energy. The ratio of their linear momentum is
(a) 1 : 4
(b) 4 : 1
(c) 1 : 2
(d) 1 : 1
Q163.
Two bodies of masses m and 4m are moving with equal linear momentum. The ratio of their kinetic energies is
(a) 1 : 4
(b) 1 : 1
(c) 4 : 1
(d) 1 : 2
Q164.
The
relationship
between
the
force
F
and
position x of a body is as shown in figure. The
work down in displacing the body from x = 1m to
x = 5m. will be
1
2
3
4
5
6
O
5
10
5
10
F(N)
x (m)
(a) 20 J
(b) 15 J
(c) 25 J
(d) 30 J
Q165.
Several forces varying both in magnitude and direction are used to move a particle along a smooth curved horizontal
path. The work done in the particle by the resultant force equals the change in the
(a) total energy of the particle
(b) kinetic energy of the particle
(c) potential energy of the particle
(d) any of the above depending upon the nature of forces and path.
Q166.
A body of mass m accelerates uniformly from rest to a speed u in a time T. The instantaneous power delivered to the
body as a function of time t is given by
(a)
t
T
mu
2
1
2
(b)
t
T
mu
2
1
2
2
(c)
t
T
mu
2
2
(d)
2
2
2
t
T
mu
Q167.
The gain in potential energy of an object of mass M raised from the surface of the earth to a height equal to the radius
R of the earth is
(a) MgR/2
(b) MgR
(c) 2MgR
(d) MgR/4
Q168.
Two mass M and 4M are suspended from the ends of two identical springs. Both the masses are stretched down from
their mean positions and let go simultaneously. If they are in same phase every four seconds, the springs constant is
(a)
π
N/m
(b)
π
2
N/m
(c) 2
π
N/m
(d) 2
π
2
N/m
Q169.
Ten springs of spring constant 1 N/m, ½ N/m, ¼ N/m connected in
parallel as shown are equivalent to a single spring of spring constant.
(a) 45 N/m
(b) 511/256 N/m
(c) 12.3 N/m
(d) 1023/512 N/m
m
Q170.
The force required to stretch a spring varies with distance stretched as
shown If the experiment is performed with a spring of half the length, the
line OA will
(a) shift towards F

axis
(b) shift towards X

axis
(c) remain unchanged
(d) becomes double the length
F(N)
2
0.04
x (m)
Q171.
The period of oscillation of the spring system of spring constant 120 N. m is T. If an other spring of spring constant
240 N/m is connected in series with this spring the time period of the system will become.
(a)
√
3 T
(b)
2
/
3
T
(c) 3T
(d)
√
3/2 T
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TUTORIALS
Head Office
: E16/289, Sector8, Rohini, New Delhi, Ph. 65395439
Q172.
Two bodies of masses M
1
and M
2
have same kinetic energy. The ratio of their linear momentum is
(a)
2
1
M
/
M
(b)
1
2
M
/
M
(c) M
1
/M
2
(d) M
2
/M
1
Q173.
Two bodies of unequal masses moving with velocity V
1
and V
2
have same kinetic energy. The ratio of their linear
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 Spring '11
 Grimaldi
 Physics, Energy, Force, Kinetic Energy, Mass, Momentum, Potential Energy, Power, Work, New Delhi

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