If the amplitude of linear S.H.M. is decreased then

If the amplitude of linear S.H.M. is decreased then
  1. its period and total energy will increase
  2. its period will increase, and total energy will decrease
  3. its period and total energy will decrease.
  4. its period will not change but total energy will decrease

Solution

The period of the S.H.M. does not depend on the amplitude. Its energy is given by $\mathrm{E}=\frac{1}{2} \mathrm{~m} \omega^2 \mathrm{~A}^2$ Hence its energy will decrease if amplitude is decreased.

Asked in: MHT CET 2021 (22 Sep Shift 1)

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