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Statement I: If the amplitude of a simp...

Statement I: If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes four times.
Statement II: The total energy is directly proportional to the square of the smplitude of vibration of the harmonic oscillator.

A

Statement I is true statement II is true, Statement II is a correct explanation for Statement I.

B

Statement I is true statement II is true, Statement II is NOT a correct explanation for Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
A
Total energy `E=(1)/(2)momega^2a^2`
i.e, `Epropa^2`
`(E')/(E)=((2a)/(a))^2impliesE'=4E`
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