Motion in a Plane - Result Question 51
54. Two particles of mass $M$ and $m$ are moving in a circle of radii $R$ and $r$. If their time-periods are same, what will be the ratio of their linear velocities?
[2001]
(a) $M R: m r$
(b) $M: m$
(c) $R: r$
(d) $1: 1$
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Solution:
- (c) Linear velocity $v=r \omega$
$v_1=\omega r_1, v_2=\omega r_2$
[ $\omega$ is same in both cases because time period is same]
$\frac{v_1}{v_2}=\frac{r_1}{r_2}=\frac{R}{r}$
