A simple harmonic oscillator has amplitude 2 A and maximum velocity 2 V. Then its displacement at which its velocity is V and the velocity at displacement A are

Options

A. `A, V`
B. `(A)/(2), (v)/(2)`
C. `(A)/(sqrt(2)), (v)/(sqrt(2))`
D. `sqrt(3)A, sqrt(3)V`

Answer

D

Explanation

`A_(1)=2A,v_(1)=2v,x_(1)=?`
`A_(2)=A,v_(2)=v,v_(2)=?`
`x_(2)=(sqrt(3))/(2)A_(1)=(sqrt(3))/(2)2A=sqrt(3)A`
`v_(2)=(sqrt(3))/(2)v_(m_(1))=(sqrt(3))/(2)xx2v=sqrt(3)v`.