r denotes the distance between the sun and the earth. Assume that the earth moves around the sun in a circular orbit of radius r. The angular momentum of the earth around the sun is proportional to

Options

A. `r`
B. `r^(3)`
C. `sqrtr`
D. `r^(2)`

Answer

C

Explanation

Angular momentum (L) of the earth around the sun is conserved or remains constant.
For a circular orbit `L=mvr`
But `v=sqrt((GM)/(r))" "therefore L=msqrt((GM)/(r))xxr=msqrt(GMr)`
`therefore" "L prop sqrtr`