A graph between velocity and displacement of a particle performing SHM is shown. Find the acceleration when the particle is at half of maximum displacement from mean position.

Options

A. `10 cm//S^(2)`
B. `20 cm//S^(2)`
C. `30 cm//S^(2)`
D. `40 cm//S^(2)`

Answer

B

Explanation

Speed `v = omega sqrt(A^(2)-x^(2)) and |vec(A)| = omega^(2)|vec(x)|`
`v = omegaA`
`10 = omega xx (2.5)`
`omega = 4`.