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Q.

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

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a

(ii, iv)

b

(iii, iv)

c

(ii, iii)

d

(i, ii)

answer is B.

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Detailed 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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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