For a particle executing SHM, the displacement `x` is given by `x = A cos omegat`. Identify the graph which represents the variation of potential energy `(PE)` as a function of time `t` and displacement `x`.

(a) `I, III`
(b) `II, IV` (c ) `II, III`
(d) `I, IV`

Options

A. I, III
B. II, IV
C. II, III
D. I, IV

Answer

A

Explanation

We know that in SHM, at extreme position, PE is maximum when t=0, x=A, i.e., at time t=0, the oarticle executing SHM is at its extreme position. Therefore, PE is maximum. Graphs-I and III represent the above characteristics.