A satellite moves in a circle around the e

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A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon’s orbit. The satellite completes one revolution in

A

$\frac{1}{2}$ lunar month

B

$\frac{2}{3}$ lunar month

C

${2^{ - 3/2}}$ lunar month

D

${2^{3/2}}$ lunar month

A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon’s orbit. The satellite completes one revolution in

Time period of revolution of moon around the earth = $1$ lunar month.

$\frac{{{T_s}}}{{{T_m}}} = {\left( {\frac{{{r_s}}}{{{r_m}}}} \right)^{3/2}} = {\left( {\frac{1}{2}} \right)^{3/2}}$

${T_s} = {2^{ - 3/2}}$ lunar month.