The period of a satellite in a circular or

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The period of a satellite in a circular orbit of radius $R$ is $T$, the period of another satellite in a circular orbit of radius $4R$ is

A

$4T$

B

$\frac{T}{4}$

C

$8T$

D

$\frac{T}{8}$

The period of a satellite in a circular orbit of radius $R$ is $T$, the period of another satellite in a circular orbit of radius $4R$ is

$\frac{{{T_1}}}{{{T_2}}} = {\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^{3/2}}$

$= {\left( {\frac{R}{{4R}}} \right)^{3/2}}$

$\Rightarrow \,{T_2} = 8{T_1}$