The acceleration-displacement graph of two particles P and Q exeucting SHM are represented as shown in the figure. The ratio of time periods of P, q respectively is

Options

A. `sqrt(3) : 1`
B. `1 : sqrt(3)`
C. `3 : 1`
D. `1 : 3`

Answer

A

Explanation

Slope =` tan theta = omega^(2)`
`omega_(P)^(2) : omega_(Q)^(2) = tan 30^(@) : tan 60^(@)`
`f_(P)^(2) : f_(Q)^(2) = (1)/(sqrt(3)) : sqrt(3) = 1 : 3`
`f_(P) : f_(Q) = 1 : T_(P) : T_(Q) = sqrt(3) : 1`