GAT PYQ 2024 Mock Test – I – Q37 - https://blog.perfectrank.in

Question:

Which one of the following statements
regarding simple pendulum is correct?
Simple pendulum has a time period
independent of amplitude :

Options:

only for small amplitudes because then the
net force on its bob is independent of its
displacement.
for any amplitude because the net force
on the bob is always proportional to its
displacement.
for any amplitude because the net force on
the bob is independent of its displacement.
only for small amplitudes because then the
net force on its bob is proportional to its
displacement.

only for small amplitudes because then the
net force on its bob is independent of its
displacement.
for any amplitude because the net force
on the bob is always proportional to its
displacement.
for any amplitude because the net force on
the bob is independent of its displacement.
only for small amplitudes because then the
net force on its bob is proportional to its
displacement.

Correct Answer: D) only for small amplitudes because then the
net force on its bob is proportional to its
displacement.

Explanation:

Time period is independent of amplitude only for small amplitudes because then restoring force is proportional to displacement.