Solveeit Logo
Login

Question

Question: Two identical satellites are moving around the earth in circular orbits at heights 3R and R respecti...

Two identical satellites are moving around the earth in circular orbits at heights 3R and R respectively where R is the radius of the Earth. The ratio of their kinetic energies is -

A

2 : 1

B

1 : 2

C

3 : 1

D

2 : 3

Answer

1 : 2

Explanation

Solution

Ek =GMm2r\frac{GMm}{2r} ̃ Ek1Ek2\frac{E_{k_{1}}}{E_{k_{2}}}= r2r1\frac{r_{2}}{r_{1}}= R+RR+3R\frac{R + R}{R + 3R}=2R4R\frac{2R}{4R} =12\frac{1}{2}