For a body executing S.H.M.: (1) Potential energy is always equal to… | JEE Main 2021 (31 Aug, Shift 2)

Q52JEE Main 2021 · 31 AUG · SHIFT 2Easy

Energy in SHM

For a body executing S.H.M.:

(1) Potential energy is always equal to its K.E.

(2) Average potential and kinetic energy over any given time interval are always equal. (3) Sum of the kinetic and potential energy at any point of time is constant.

(4) Average K.E. in one time period is equal to average potential energy in one time period. Choose the most appropriate option from the options given below:

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Answer: (a)

(1) False: PE = KE only at $x = A/\sqrt{2}$ .
(2) False: over an arbitrary interval the averages differ.
(3) True: KE + PE $= \dfrac{1}{2}kA^2$ is constant.
(4) True: over one period, average KE = average PE $= \dfrac{1}{4}kA^2$ .
So the answer is (a) (3) and (4).

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