A block of mass `m` is resting on a piston as shown in figure which is moving vertically with a `SHM` of period `1 s`. The minimum amplitude of motion at which the block and piston separate is :

Options

A. 0.2 m
B. 0.25 m
C. 0.3 m
D. 0.35 m

Answer

B

Explanation

When maximum force just exceeds the weight of the body, then weight kept on the system will separate from the piston

`therefore" "mg = m omega^(2)y rArr y = (g)/(omega^(2))`
Given, `g = 9.8 ms^(-2), omega = 2 pi`
`therefore" "y = (9.8)/((2 pi)^(2)) = 0.25`cm