A particle performing `SHM` having amplitude 'a' possesses velocity `((3)^(1//2))/(2)` times the velocity at the mean position. The displacement of the particle shall be

Options

A. `(a)/(2)`
B. `(3)^(1//2)(a)/(2)`
C. `((a)/(2))^(1//2)`
D. `(2)^(1//2)a`

Answer

A

Explanation

`V = (3^(1//2))/(2)A omega, omega sqrt(A^(2) -x^(2)) = (3^(1//2))/(2)A omega`