A horizontal platform with a mass `m` placed on it is executing SHM slong y-axis. If the amplitude of oscillation is 2.5 cm, the minimum period of the motion for the mass not to be detached from the platform `(g=10(m)/(s^2)`)

Options

A. `(10)/(pi)s`
B. `(pi)/(10)s`
C. `(pi)/(sqrt(10))`s
D. `(1)/(sqrt(10))s`

Answer

B, D

Explanation

Acceleration `a=omega^2x`
Maximum acceleration `a=omega^2A=((2pi)/(T))^2=(25)/(100)`
When block and platform are separated
`a=g=10`
`(4pi^2)/(T^2)`.`(1)/(40)impliesT^2=(pi^2)/(100)`. `T=(pi)/(10)sec`