Question

On which of the following does the energy of a
simple harmonic motion depend
(a) w
(b) 1/2
(c) 1/a2
(d) a2​

Answer 1

Answer:

(d)

Explanation:

It depends upon square of amplitude

Answer 2

Answer:

The energy of a simple harmonic motion depends on a²i.e.option(d).

Explanation:

The energy of the particle performing simple harmonic motion is given as,

$E=\frac{1}{2} Ka^2$          (1)

Where,

E=energy of the simple harmonic motion

K=spring or force constant    (Its unit is N-m⁻¹)

a=the maximum amplitude of the motion

We will consider "K" and $\frac{1}{2}$ is constant and equation (1) can be written as,

$E\propto a^2$      (2)

From equation (2) we can see that the energy of the simple is directly proportional to the square of the amplitude.

Hence, among the given options the correct answer is a²i.e.option (d).