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 particle executing `SHM` is at its extreme position. Therefore `PE` is maximum. Graphs `I` and `III` represent the above characteristics.