A particle is in a linear `SHM`. If acceleration and the corresponding velocity of this particle are `a` and `v` then the graph relating to these values is

Options

A.
B.
C.
D.

Answer

C

Explanation

The equation giving relation between acceleration and speed as function of distance from mean position is
`a = - omega^(2)x`…(1)
`v = omega sqrt(a^(2) - x^(2))`…(2)
From equation (1) and (2) we get
`a^(2) = omega^(2) (A^(2) - (v^(2))/(omega^(2)))`