Question

A pendulum of length L swings with an amplitude θ and a frequency f as depicted above. If the amplitude is increased, then..

(Note that for both cases the amplitude θ is small)

• A.

  the period will not change.

• B.

  the period will decrease.

• C.

  the frequency will decrease

• D.

  the frequency will increase.

• E.

  the period will increase.

Answer 1

The time period of a pendulum is given by the following formula:

$T=2\pi\sqrt{\frac{l}{g}}$

which is independent of the amplitude. So if we increase the amplitude the time period won't change.

And frequency is given by:

$f=\frac{1}{T}$

so it won't change either.

Hence the correct option is A.