Question

the distance between sun and a planet is r. the angular momentum of planet around the sun in circular orbit is proportional to ?​
a) r
b) r^-1
c) r^0
d) r^1/2

Answer 1

Answer:

Angular momentum is directly proportional to the distance r.

Explanation:

The distance between sun and a planet is r.

Since we know that the angular momentum of a body performing circular motion is $L=r\times P$.......................(1)

Where P=linear momentum which is the quantity of motion contained in the body.

P=mv...............(2)

from (1) and (2) we get

$L=rmvsin$Ф...................(3)

where Ф=angle between position and velocity vector.

so from the above equation (3) we conclude that angular momentum is directly proportional to the distance r.