Question

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.

Answer 1

Correct Answer - 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.