Home Physics Gravitation JEE Main 2023 The orbital angular momentum of a satellite …
Physics Gravitation JEE Main 2023 MCQ (Single Correct)

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be

A
8L
B
9L
C
4L
D
3L

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Text Solution

Verified by Experts
The correct answer is:
D

For a satellite revolving around the Earth in a circular orbit, it can be written that

… (r=R+h is the distance from the centre of the Earth)

Simplify equation to obtain the linear speed of the satellite.

Thus, the angular momentum of the satellite is given by

L=mvr

...

Similarly, for distance r' from the centre of the Earth, the angular momentum is given by

...

Divide equation by equation to obtain the required angular momentum.

Now,

Substitute the known values of the parameters into equation to obtain the required angular momentum.

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