A geostationary satellite is orbiting the earth at a height of 6R above the surface of the earth, where R is the radius of the earth. The time period of another satellite at a height of 2.5 R from the surface of the earth is …… hours.

Options

A. `12sqrt(2)hr`
B. `12hr`
C. `6sqrt(2) hr`
D. `6hr`

Answer

C

Explanation

`(T_(1))/(T_(2))=sqrt((R_(1)^(3))/(R_(2)^(3)))=sqrt(((7R)^(3))/(((7R)/2)^(3)))`