A satellite of mass m is orbiting around the earth at a height h above the surface of the earth. Mass of the earth is M and its radius is R. The angular momentum of the satellite is independent of:

Question

A satellite of mass m is orbiting around the earth at a height h above the surface of the earth. Mass of the earth is M and its radius is R. The angular momentum of the satellite is independent of: (A) m (B) M (C) h (D) none of these

Tardigrade Admin · Accepted Answer

L = mv0(R + h) = m√(GM/(R + h)) (R + h) = m √GM(R + h) i.e., L depends on m. M as well as h.

Q. A satellite of mass $m$ is orbiting around the earth at a height $h$ above the surface of the earth. Mass of the earth is $M$ and its radius is $R$ . The angular momentum of the satellite is independent of:

$m$

$M$

$h$

none of these

$L = m v_{0} (R + h)$

$= m \frac{GM}{( R + h )} (R + h)$

$= m GM (R + h)$

i.e., $L$ depends on $m$ . $M$ as well as $h$ .

Q. A satellite of mass m is orbiting around the earth at a height h above the surface of the earth. Mass of the earth is M and its radius is R. The angular momentum of the satellite is independent of:

m

M

h

none of these

L=mv0​(R+h) =m(R+h)GM​​(R+h) =mGM(R+h)​ i.e., L depends on m. M as well as h.

Q. A satellite of mass $m$ is orbiting around the earth at a height $h$ above the surface of the earth. Mass of the earth is $M$ and its radius is $R$ . The angular momentum of the satellite is independent of:

$m$

$M$

$h$

$L = m v_{0} (R + h)$

$= m \frac{GM}{( R + h )} (R + h)$

$= m GM (R + h)$

i.e., $L$ depends on $m$ . $M$ as well as $h$ .