Question

A body of mass $10g$ oscillates about a fixed point with a SHM of amplitude $16cm$. If the body is attracted towards the fixed point, when at a distance of $8$ cm from it with a force equal to the weight of $10$ g, the period of oscillation of the mass about the fixed point is nearly

• A. $0.57s$
• B. $0.75s$
• C. $0.91m$
• D. $1.15s$

Answer 1

The correct option is A $0.57s$

${\omega }^{2}y=a=g$
${\omega }^2=\frac{9.8}{8\times {10}^{-2}}$
$\omega =11.06$
$T=\frac{2\pi }{\omega }$
$T=0.567sec$
The time parted of assertions to independent of the mass
$\therefore$time period will remain same on increasing the mass