For a body executing S.H.M. : (a) Potential energy is always equa… - Vidyadip

MCQ

For a body executing $S.H.M. :$

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

$(b)$ Average potential and kinetic energy over any given time interval are always equal.

$(c)$ Sum of the kinetic and potential energy at any point of time is constant.

$(d)$ 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:

✓
$(c)$ and $(d)$
B
only $(c)$
C
$(b)$ and $(c)$
D
only $(b)$

✓

Answer

Correct option: A.

$(c)$ and $(d)$

a
In $S.H.M.$ total mechanical energy remains constant and also $<{K} . {E} .>=<{P} . {E}>=\frac{1}{4} {KA}^{2}$

(for $1$ time period)

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