Question

A particle starting from the mean position performs linear S.H.M. Its amplitude is 'A' and total energy is 'E'. At what displacement its kinetic energy is 3E/4?

विकल्प

• `A/4`

• `A/3`

• `A/2`

• A

Answer 1

`underline(A/2)`

Explanation:

K.E. = `1/2momega^2(A^2 - x^2)`

T.E. = `1/2momega^2A^2`

`3/4 xx 1/2momega^2A^2 = 1/2momega^2(A^2 - x^2)`

`x^2 = (1 - 3/4)A^2 = A^2/4`

`x = A/2`