1. The displacement equation of a particle is
\[x = 3sin2t+ 4 cos 2t\] . The amplitude and maximum
velocity will be respectively
a) 5, 10
b) 3,2
c) 4,2
d) 3,4
Explanation:
2. Velocity at mean position of a particle executing
S.H.M. is v, they velocity of the particle at a
distance equal to half of the amplitude
a) 4 v
b) 2 v
c) \[\frac{\sqrt{3}}{2}v\]
d) \[\frac{\sqrt{3}}{4}v\]
Explanation:
3.The instantaneous displacement of a simple
pendulum oscillator is given by \[x=A cos \left(\omega t+\frac{\pi}{4}\right)\] .
Its speed will be maximum at time
a) \[\frac{\pi}{4\omega}\]
b) \[\frac{\pi}{2\omega}\]
c) \[\frac{\pi}{\omega}\]
d) \[\frac{2\pi}{\omega}\]
Explanation:
4. If a hole is bored along the diameter of the earth
and a stone is dropped into hole
a) The stone reaches the centre of the earth and
stops there
b) The stone reaches the other side of the earth
and stops there
c) The stone executes simple harmonic motion
about the centre of the earth
d) The stone reaches the other side of the earth
and escapes into space
Explanation:
5. The acceleration of a particle in S.H.M. is
a) Always zero
b) Always constant
c) Maximum at the extreme position
d) Maximum at the equilibrium position
Explanation:
6. The amplitude of a particle executing S.H.M. with
frequency of 60 Hz is 0.01 m. The maximum value
of the acceleration of the particle is
a) \[144\pi^{2}\] \[m/sec^{2}\]
b) 144 \[m/sec^{2}\]
c) \[\frac{144}{\pi^{2}}\] \[m/sec^{2}\]
d) 288 \[\pi^{2}m/sec^{2}\]
Explanation:
7. A small body of mass 0.10 kg is executing S.H.M.
of amplitude 1.0 m and period 0.20 sec. The
maximum force acting on it is
a) 98.596 N
b) 985.96 N
c) 100.2 N
d) 76.23 N
Explanation:
8. A body executing simple harmonic motion has a
maximum acceleration equal to 24 metres/ \[sec^{2}\] and
maximum velocity equal to 16 metres/sec . The
amplitude of the simple harmonic motion is
a) \[\frac{32}{3}metres \]
b) \[\frac{3}{32}metres \]
c) \[\frac{1024}{9}metres \]
d) \[\frac{64}{9}metres \]
Explanation:
9. For a particle executing simple harmonic motion,
which of the following statements is not correct
a) The total energy of the particle always
remains the same
b) The restoring force of always directed
towards a fixed point
c) The restoring force is maximum at the
extreme positions
d) The acceleration of the particle is maximum at
the equilibrium position
Explanation:
10. A particle of mass 10 grams is executing simple
harmonic motion with an amplitude of 0.5 m and
periodic time of \[\left(\pi/5\right)\] seconds. The maximum
value of the force acting on the particle is
a) 25 N
b) 5 N
c) 2.5 N
d) 0.5 N
Explanation:
