Page 2 - HA

b. proportional to x .
2
c. independent of x.

d. proportional to x .
1/2
6.
Two identical springs, each of spring constant K are connected first in series and then in
parallel. A mass M is suspended from them. The ratio of the frequencies of vertical
oscillations will be

a. 2:1.

b. 1:1.

c. 1:2.

d. 1:4.

7.
Starting from the origin, a body oscillates simple harmonically with a period of 2s. Its
kinetic energy becomes 75% of the original energy after

a. (1/12) s.

b. (1/6) s.

c. (1/4) s.

d. (1/3) s.

8.
The displacement x(in metre) of a particle performing S.H.M. is related to time t(in sec) as x
= 0.05 Cos (4 t + /4). The frequency of motion is
a. 0.5 Hz.

b. 1.0 Hz.
c. 1.5 Hz.

d. 2.0 Hz

9.
The time period of a simple pendulum is 2 seconds. If its length is increased by four times,
then its period becomes

a. 16 s.

b. 12 s.

c. 8 s.
d. 4 s.

10.
The equation of motion of an object is x = 2.0 Cos (0.50t+ /4) meters. Its maximum
acceleration is

a. 0.05 ms .
-2
b. 0.50 ms .
-2
c. 2.0 ms .
-2