Question

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

(1) 8 L 

(2) 4 L 

(3) 9 L 

(4) 3 L

Answer 1

Correct option is (4) 3 L

Now distance from centre is increased by 8 times.

So new distance from centre = r +8r = 9r 

Now angular momentum L' ∝ (9r)^1/2