The ratio of instantaneous velocity and the average speed of the particle performing S.H.M. is

Options

A. `2pi`
B. `(2)/(pi)`
C. `(pi)/(2)`
D. `(pi)/(2)sqrt(1-(x^(2))/(A^(2)))`

Answer

D

Explanation

`(v)/(v_(av))=(omegasqrt(A^(2)-x^(2)))/((2Aomega)/pi)`
`=(pi)/(2)sqrt((A^(2)-x^(2))/(A^(2)))=(pi)/(2)sqrt(1-(x^(2))/(A^(2)))`