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For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential 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 : (1) (c) and (d) (2) only (c) (3) (b) and (c) (4) only (b)

1. (c) and (d)
2. only (c)
3. (b) and (c)
4. only (b)

Correct answer: only (c)

Solution

In simple harmonic motion (S.H.M.), the total mechanical energy, which is the sum of kinetic and potential energy, remains constant throughout the motion. This means that while kinetic and potential energy may vary individually, their total remains unchanged, making option (c) the correct choice.

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