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

Options

A. 1,III
B. II, IV
C. II, III
D. I, IV

Answer

A

Explanation

In (S.H.M.), at extreme position, (P.E.) is maximum when
`t = 0, x = A`
i.e., at time (t = 0), the particle executing (S.H.M.) is at its extreme position.
Therefore (p.E.) is max. The graph (I) and (III) represent the above charcteristics.