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Q.

A and B are two satellites revolving round the earth in circular orbits have time periods 8hr and 1hr respectively. The ratio of their radius of orbits

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a

8^{3 / 2} : 1

b

8 : 1

c

4 : 1

d

2 : 1

answer is C.

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Detailed Solution

T^{2} \propto R^{3}

$\frac{T_{1}^{2}}{T_{2}^{2}} = \frac{R_{1}^{3}}{R_{2}^{3}}$

${(\frac{8}{1})}^{2} = \frac{R_{1}^{3}}{R_{2}^{3}}$

$\frac{64}{1} = \frac{R_{1}^{3}}{R_{2}^{3}}$

$R_{1} : R_{2} = 4 : 1$

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