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Q.

A simple pendulum of length / is vibrating with an amplitude A.Its energy is E. Consider the following situations: (i) Amplitude is doubled keeping length the same(ii) Length is doubled, keeping amplitude the same.Then energy of the pendulum in the two situations will be:

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a

4E,E2

b

2E,E2

c

E,E

d

2E,2E

answer is A.

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Detailed Solution

E=12mω2A2(i) A'=2A⇒E'=4E(ii) T∝l⇒T'=2T,E'∝ω2∝1T2⇒E'=E2
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