Question

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R_o and mass of earth M, the angular momentum about the center of earth is 

(A) m√(GMR_o) 

(B) M√(GMR_o) 

(C) m√(GM / R_o) 

(D) M√(GM / R_o)

Answer 1

Correct option: (A) m√(GMR_o)

Explanation:

Angular momentum = mass × orbital velocity × Radius        (1)

given : mass of earth = M

mass of satellite = m

radius = R_o 

from (1),

angular momentum = m × √(GM / R_o) × R_o 

= m√(GMR_o)