Question

A block of mass $m$ rests on a piston executing SHM of period $1$ second. The amplitude of oscillations so that the mass is separated from the piston is

• A. 0.25 m
• B. 0.5 m
• C. 1 m
• D. $\infty$

Answer 1

The correct option is A 0.25 m

From formula of Time period, we find $\frac{m}{k}$.
Now, for separarting from piston, spring force should be greater than weight.
$kx>mg$
$x>\frac{mg}{k}$
$x>0.25m$
Option A is correct.