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 :

Options

A. `1/2`
B. 1
C. `sqrt(1/2)`
D. `2`

Answer

B

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`