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The altitudes of two satellites from the surface of earth are R and 7R where R is the radius of earth. Their time periods of revolutions are in the ratio

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1 : 7

1 : 8

1 : 49

1 : 98

answer is B.

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Detailed Solution

$R_{1} = 2 R and R_{2} = 8 R {(\frac{T_{1}}{T_{2}})}^{2} = {(\frac{R_{1}}{R_{2}})}^{3} {(\frac{T_{1}}{T_{2}})}^{2} = {(\frac{1}{8})}^{3} = \frac{1}{64} \frac{T_{1}}{T_{2}} = \frac{1}{8}$ $T^{2} \propto r^{3}$

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