i) A particle performs linear S.H.M.
starting from the mean position. Its
amplitude is A and time period is T. At
the instance when its speed is half the
maximum speed, its displacement x is
(A) 3
2
A (B)
2
3
A
(C) A
2 (D) 1
2
A
ii) A body of mass 1 kg is performing linear
S.H.M. Its displacement x (cm) at t
(second) is given by
x = 6 sin (100t + π/4). Maximum kinetic
energy of the body is
(A) 36 J (B) 9 J
(C) 27 J (D) 18 J
iii) The length of second's pendulum on the
surface of earth is nearly 1 m. Its length
on the surface of moon should be [Given:
acceleration due to gravity (g) on moon
is 1/6 th of that on the earth’s surface]
(A) 1/6 m (B) 6 m
(C) 1/36 m (D) 1
6
m
iv) Two identical springs of constant k are
connected, first in series and then in
parallel. A metal block of mass m is
suspended from their combination. The
ratio of their frequencies of vertical
oscillations will be in a ratio
(A) 1:4 (B) 1:2 (C) 2:1 (D) 4:1
v) The graph shows variation of
displacement of a particle performing
S.H.M. with time t. Which of the
following statements is correct from the
graph?
(A) The acceleration is maximum at
time T.
(B) The force is maximum at time 3T/4.
(C) The velocity is zero at time T/2.
(D) The kinetic energy is equal to total
energy at time T/4.
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