Question

A particle is revolving in a circle of radius r. if the force acting on it is inversely proportional to r, then the time period is proportional to

Answer 1

F=MV2/r
F is inversely proportional to r
then v=r*omega
omega=2pie/t
v=2pie*r/t
then
$f = 4\ {\pi}^{2} {r}^{2} \div {t}^{2} \times r$
then f is inversely proportional to time