Two bodies of equal masses revolve in circular orbits of radii R_… - Vidyadip

MCQ

Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio

A
${\left( {\frac{{{R_2}}}{{{R_1}}}} \right)^2}$
✓
$\frac{{{R_1}}}{{{R_2}}}$
C
${\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^2}$
D
$\sqrt {{R_1}{R_2}} $

✓

Answer

Correct option: B.

$\frac{{{R_1}}}{{{R_2}}}$

b
(b) $F = m\left( {\frac{{4{\pi ^2}}}{{{T^2}}}} \right)R$. If masses and time periods are same then $F \propto R$

$\therefore {F_1}/{F_2} = {R_1}/{R_2}$

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