Question

The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. Then its angular momentum will be

• A. $\sqrt{\frac{E}{mr^2}}$
• B. $\frac{E}{2 mr^2}$
• C. $\sqrt{2 E mr^2}$
• D. $\sqrt{2 E mr}$

Answer 1

Answer: (C)

$\sqrt{2 E mr^2}$

Answer 2

KE of a satellite $E = \frac{1}{2} mv^2$ or $mv = \sqrt{2 E m}$ Angular momentum $L = m v r = (\sqrt{2E m}) \times r$ $= \sqrt{2 m E r^2}$