A body is orbiting around earth at a mean radius which is two times as greater as the parking orbit of a satellite, the period of body is

Options

A. 4 days
B. 16 days
C. `2sqrt2` days
D. 64 days

Answer

C

Explanation

From Kepler .s third law of planetary motion,
`T^2 prop a^3`
Given, `T_i`
= 1 day (geostationary)
`a_1= a, a_2 = 2a`
`:. T_1^2/T_2^2=a_1^3/a_2^3`
`impliesT_2^2=a_2^3/a_1^3T_(1)^2=((2a)^2)/(a^3)xx1`
= 8
`implies T_2 = 2sqrt2` days