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.

Options

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

Answer

A

Explanation

Total energy `E=(1)/(2)momega^2a^2`
i.e, `Epropa^2`
`(E')/(E)=((2a)/(a))^2impliesE'=4E`