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

Potential energy is minimum (in this case zero) at mean position `(x = 0)` and maximum at extreme position `(x = +_ A)`
At time `t = 0 , x= A` hence potential should be maximum ,Therefore graph I is correct Further in graph III Potential energy is minimum at `x = 0` , hence this is also correct