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Questions  

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:

a
4E,E2
b
2E,E2
c
E,E
d
2E,2E

detailed solution

Correct option is A

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

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