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Assertion: If the amplitude of a simple ...

Assertion: If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes double.
Reason: The toal energy is directly proportional to the amplitude of vibration of the harmonic oscillator.

A

If both assertion and reson are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
D
The total mechanical energy of a simple harmonic oscillator oscillating with amplitude is a is
`E=(1)/(2)momega^(2)a^(2)` i.e., `E=propa^(2)`
Therefore energy is directly proportional to the square of amplitude of vibration of harmonic oscillator.
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