1.In a simple pendulum, the period of oscillation T
is related to length of the pendulum l as
a) \[\frac{l}{T}=constant\]
b) \[\frac{l^{2}}{T}=constant\]
c) \[\frac{l}{T^{2}}=constant\]
d) \[\frac{l^{2}}{T^{2}}=constant\]
Explanation:
2. A pendulum has time period T. If it is taken on to
another planet having acceleration due to gravity
half and mass 9 times that of the earth then its
time period on the other planet will be
a) \[\sqrt{T}\]
b) T
c) \[T^{1/3}\]
d) \[\sqrt{2 } T\]
Explanation:
3.A simple pendulum is executing simple harmonic
motion with a time period T. If the length of the
pendulum is increased by 21%, the percentage
increase in the time period of the pendulum of
increased length is
a) 10%
b) 21%
c) 30%
d) 50%
Explanation:
4. If the length of simple pendulum is increased by
300%, then the time period will be increased by
a) 100%
b) 200%
c) 300%
d) 400%
Explanation:
5. The length of a seconds pendulum is
a) 99.8 cm
b) 99 cm
c) 100 cm
d) None of these
Explanation:
6.The time period of a simple pendulum in a lift
descending with constant acceleration g is
a) \[T=2 \pi\sqrt{\frac{l}{g}}\]
b) \[T=2 \pi\sqrt{\frac{l}{2g}}\]
c) Zero
d) Infinite
Explanation:
7. A chimpanzee swinging on a swing in a sitting
position, stands up suddenly, the time period will
a) Become infinite
b) Remain same
c) Increase
d) Decrease
Explanation:
8. The acceleration due to gravity at a place is
\[\pi^{2}m/sec^{2}\] . Then the time period of a simple
pendulum of length one metre is
a) \[\frac{2}{\pi}\] sec
b) \[2 \pi\] sec
c) 2 sec
d) \[ \pi \] sec
Explanation:
9.A plate oscillated with time period ‘T’. Suddenly,
another plate put on the first plate, then time
period
a) Will decrease
b) Will increase
c) Will be same
d) None of these
Explanation: Time period is independent of mass of pendulum.
10.A simple pendulum of length l has a brass bob
attached at its lower end. Its period is T. If a steel
bob of same size, having density x times that of
brass, replaces the brass bob and its length is
changed so that period becomes 2T, then new
length is
a) 2 l
b) 4 l
c) 4l x
d) \[\frac{4 l}{x} \]
Explanation:
