Question

If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by

• A. $v^2=g\frac{M}{r}$
• B. $v^2=\frac{GMm}{r}$
• C. $v=\frac{GM}{r}$
• D. $v^2=\frac{GM}{r}$

Answer 1

The correct option is D

$v^2=\frac{GM}{r}$

From the derivation of orbital velocity equating Gravitational force of attraction with centrifugal force, we get $v^2=\frac{GM}{r}$