Two identical satellites A and B revolve round the earth in circular orbits at distance R and 3R from the surface of the earth. The ratio of the linear momenta of A and B is (R = radius of the earth)

Options

A. `1:1`
B. `1:sqrt2`
C. `sqrt2 :1`
D. `2:1`

Answer

C

Explanation

Linear momentum of stellite
` p = mv_0 = m sqrt((GM)/(r )) i.e., p prop (1)/(sqrtr)`
` therefore P_A/P_B =sqrt(r_B/r_A) = sqrt((R + 3R)/(R + R)) = sqrt2`