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A simple harmonic oscillator has a perio...

A simple harmonic oscillator has a period T and energy E. the amplitude of the oscillator is doubled. Choose the correct answer.

A

Period and energy get doubled.

B

Period gets doubled while energy remains the same.

C

Energy gets doubled while period remains the same.

D

period remains the same and energy becomes four times.

Text Solution

Verified by Experts

The correct Answer is:
D
The period of harmonic oscillator does not depend on the amplitude of oscillation.
Energy of oscillator, `E=(1)/(2)momega^(2)A^(2),EpropA^(2)`
So, if amplitude (A) is double, its energy becomes 4 times.
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