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A synchronous satellite goes around the ...

A synchronous satellite goes around the earth once in every 24 h. What is the radius of orbit of the synchronous satellite in terms of the earth's radius (Given mass of the earth, `m_e = 5.98 xx 10^(24)kg` radius of earth, `r_e=6.37 xx 10^6m` , Universal constant of gravitation, `G=6.67 xx 10^(-11) Nm^2// kg^2` )

A

`2.4 r_e`

B

`3.6 r_e`

C

`4.8 r_e`

D

`6.6 r_e`

Text Solution

Verified by Experts

The correct Answer is:
D
For a synchronous satellite have time 24 hrs
Height `=36000km`
`thereforeh=36000/6400=5.6r_e`
`r=r_e+h=r_e+5.6r_e=6.6r_e`
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