Question

A satellite of mass 'm' is revolving around the earth of mass 'M' in an orbit of radius 'r' with constant angular velocity 'ω'. The angular momentum of the satellite is ______.

(G =gravitational constant)

Options

• `((GMr)/m)^2`

• `m(GMr)^(1/2)`

• m(GMr)

• `(GMmr)^(1/2)`

Answer 1

A satellite of mass 'm' is revolving around the earth of mass 'M' in an orbit of radius 'r' with constant angular velocity 'ω'. The angular momentum of the satellite is `underline(m(GMr)^(1/2))`.

Explanation:

Angular momentum `=mvr=msqrt((GM)/r)r`

`=msqrt(GMr)`

`=m(GMr)^(1/2)`