First slide
Simple hormonic motion
Question

If amplitude of a particle executing SHM is doubled, which of the following quantities will be doubled?
(i) Time period
(ii) Maximum velocity
(iii) Maximum acceleration
(iv) Total energy

Moderate
Solution

Time period is independent of amplitude and will remain unchanged. Maximum velocity and maximum acceleration are both proportional to amplitude and hence will be doubled. Total energy is proportional to square of amplitude and hence will be quadrupled.

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