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

{(\frac{R_{2}}{R_{1}})}^{2}

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\frac{R_{1}}{R_{2}}

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{(\frac{R_{1}}{R_{2}})}^{2}

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\sqrt{R_{1} R_{2}}

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Solution

The correct option is B $\frac{R_{1}}{R_{2}}$
$F = m (\frac{4 π^{2}}{T^{2}}) R$ . If masses and time periods are same then
$F \propto R ∴ \frac{F_{1}}{F_{2}} = \frac{R_{1}}{R_{2}}$

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Two bodies of equal masses revolve in circular orbits of radii R1 and R2 with the same period. Their centripetal forces are in the ratio

The correct option is B R1R2F=m(4π2T2)R. If masses and time periods are same then F∝R∴F1F2=R1R2

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

The correct option is B $\frac{R_{1}}{R_{2}}$
$F = m (\frac{4 π^{2}}{T^{2}}) R$ . If masses and time periods are same then
$F \propto R ∴ \frac{F_{1}}{F_{2}} = \frac{R_{1}}{R_{2}}$