Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, `T_(A)//T_(B)`, is :

Answer

1

Explanation

For a satellite of mass m rotating in a circular orbit of radius R around a planet of mass M, kinetic energy is given by `T = ("GMm)/(2R)`
Here, `T_(A) = (GMm)/(2R)` and `T_(B) = (GM(2m))/(2(2R)) = (GMm)/(2R)`
`(T_(A))/(T_(B)) = 1`