A satellite of mass m is circulating around the earth with consta… - Vidyadip

MCQ

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is

✓
$m\sqrt {GM{R_0}} $
B
$M\sqrt {Gm{R_0}} $
C
$m\sqrt {\frac{{GM}}{{{R_0}}}} $
D
$M\sqrt {\frac{{GM}}{{{R_0}}}} $

✓

Answer

Correct option: A.

$m\sqrt {GM{R_0}} $

a
(a) Angular momentum = Mass $× $ Orbital velocity $×$ Radius
$ = m \times \left( {\sqrt {\frac{{GM}}{{{R_0}}}} } \right) \times {R_0} = m\sqrt {GM{R_0}} $

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