Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular velocity will be

Question

Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular velocity will be (A)  (r/R) (B)  (R/r) (C) 1 (D) √ (R/r)

Tardigrade Admin · Accepted Answer

ω = ( 2 π/ t ) . t is same ∴ ( ω1/ ω2) = 1

Q. Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$ . If their time period are same then the ratio of angular velocity will be

$\frac{r}{R}$

$\frac{R}{r}$

$1$

$\frac{R}{r}$

$ω = \frac{2 π}{t} . t$ is same
$∴ \frac{ω _{1}}{ω _{2}} = 1$

Q. Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular velocity will be

Rr​

rR​

1

rR​​

ω=t2π​.t is same ∴ω2​ω1​​=1

Q. Two particles having mass $M$ and $m$ are moving in a circular path having radius $R$ and $r$ . If their time period are same then the ratio of angular velocity will be

$\frac{r}{R}$

$\frac{R}{r}$

$1$

$\frac{R}{r}$

$ω = \frac{2 π}{t} . t$ is same
$∴ \frac{ω _{1}}{ω _{2}} = 1$