Question

Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii 3r and 4r respectively around the Earth. The ratio of total mechanical energy of A to B is ______.

Options

• 9 : 16

• 16 : 9

• 1 : 1

• 4 : 3

Answer 1

Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii 3r and 4r respectively around the Earth. The ratio of total mechanical energy of A to B is 16 : 9.

Explanation:

As, E = `-(GMm)/(2r)`

E ∝ `M/r`

`(E_A)/(E_B) = M_A/M_B xx r_B/r_A = 4/3 xx (4r)/(3r) = 16/9`