A body is executing simple harmonic motion with frequency ‘n’, the frequency of its potential energy is :

Question

Question

Answer 1

CONCEPT:

The displacement of the simple harmonic motion is written as;

where, is denoted as the angular frequency, A is the amplitude, and t is the time.

CALCULATION:

As we know that the displacement of particles is,

and potential energy of the particle in SHM is written as,

Substitute equation (1) in equation (2) we get;

=

Using, equation (3) becomes;

As we know, where n is the frequency therefore equation (4) is,

Therefore, from equation (5) the frequency is 2n.

Hence, option 3) is the correct answer.