The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be

Explanation

`T^2 prop R^3`
` therefore (T_2/T_1)^2 = (R_2/R_1)^3 rArr ((T_2)/("83 min"))^2 = ((R + 3R)/(R ))^2`
`rArr T_2 = ` 664 min