An artifical satellite of a planet revolves in a circular orbit whose radius exceeds the radius of the planet 7 times. IN the process of motion, the satellite experiences slight resistance due to cosmic dust. Assuming the resistive force depends on the speed of the satellite as `F = kv^(2)` (where k is a constant). The time by the satellite will stay in orbit until it falls on to the planet.s surface. is `(m)/(ksqrt(gR)) `(sqrt(x)-1)` (Given m = mass of the satellite, g = accleration due to gravity at the surface of planetand R = radius of the planet ). FInd the value of x

Answer

7