Question

An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

• A. $\frac{g{R}^2}{R+h}$
• B. gR
• C. $\frac{gR}{R+h}$
• D. $\sqrt{\frac{g{R}^2}{R+h}}$

Answer 1

The correct option is D

$\sqrt{\frac{g{R}^2}{R+h}}$

$v_0=\sqrt{\frac{GM}{r}}=\sqrt{\frac{g{R}^2}{R+h}}$