Question

The radii of orbits of two satellite a and b orbiting around the earth are r and 4r . The ratio of time period is

Answer 1

the exact formula is T = 2*pie [{(R+h)^3}/GM]^0.5 . More specifically, T proportional to R^(3/2)....hence T1 : T2 = 1 : 8

Answer 2

$\huge \bf E = \frac{GMm}{2r} \\ \huge \bf \frac{E_A}{E_A} = \frac{m_A}{m_B} \times \frac{r_B} {r_A} \\ \huge \bf\frac{3}{1} \times \frac{4}{1} = 12:1$