1. The length of the second pendulum on the surface
of earth is 1 m. The length of seconds pendulum
on the surface of moon, where g is 1/6th value of
g on the surface of earth, is
a) 1 / 6 m
b) 6 m
c) 1 / 36 m
d) 36 m
Explanation:
2. If the length of second's pendulum is decreased by
2%, how many seconds it will lose per day
a) 3927 sec
b) 3727 sec
c) 3427 sec
d) 864 sec
Explanation:
3.The period of simple pendulum is measured as T
in a stationary lift. If the lift moves upwards with
an acceleration of 5 g, the period will be
a) The same
b) Increased by 3/5
c) Decreased by 2/3 times
d) None of the above
Explanation:
4. The length of a simple pendulum is increased by
1%. Its time period will
a) Increase by 1%
b) Increase by 0.5%
c) Decrease by 0.5%
d) Decrease by 2%
Explanation:
5. Identify correct statement among the following
a) The greater the mass of a pendulum bob, the
shorter is its frequency of oscillation
b) A simple pendulum with a bob of mass M
swings with an angular amplitude of \[40^{\circ}\] .
When its angular amplitude is \[20^{\circ}\] , the
tension in the string is less than Mg cos \[20^{\circ}\]
c) As the length of a simple pendulum is
increased, the maximum velocity of its bob
during its oscillation will also decreases
d) The fractional change in the time period of a
pendulum
on changing the temperature is independent
of the length of the pendulum
Explanation: As the length of a simple pendulum is increased, the maximum velocity of its bob during its oscillation will also decreases
6. The bob of a pendulum of length l is pulled aside
from its equilibrium position through an angle \[\theta\]
and then released. The bob will then pass through
its equilibrium position with a speed v, where v
equals
a) \[\sqrt{2gl\left(1-\sin\theta\right)}\]
b) \[\sqrt{2gl\left(1+\cos\theta\right)}\]
c) \[\sqrt{2gl\left(1-\cos\theta\right)}\]
d) \[\sqrt{2gl\left(1+\sin\theta\right)}\]
Explanation:
7.A simple pendulum executing S.H.M. is falling
freely along with the support. Then
a) Its periodic time decreases
b) Its periodic time increases
c) It does not oscillate at all
d) None of these
Explanation:
for freely falling system effective
g = 0
It means that pendulum does not oscillate at
all.
8. A pendulum bob has a speed of 3 m/s at its lowest
position. The pendulum is 0.5 m long. The speed
of the bob, when the length makes an angle of \[60^{\circ}\] to the vertical, will be (if g= 10 m/ \[s^{2}\] )
a) 3 m/s
b) \[\frac{1}{3}m/s\]
c) \[\frac{1}{2}m/s\]
d) 2 m/s
Explanation:
9. The time period of a simple pendulum is 2 sec. If
its length is increased 4 times, then its period
becomes
a) 16 sec
b) 12 sec
c) 8 sec
d) 4 sec
Explanation:
10. If the metal bob of a simple pendulum is replaced
by a wooden bob, then its time period will
a) Increase
b) Decrease
c) Remain the same
d) First increase then decrease
Explanation: Remains the same because time period of simple pendulum T is independent of mass of the bob