The angular momentum `(L)` of the earth revolving round the sun uis proportional to `r^(n)`, where `r` is the orbital radius of the earth. The value of `n` is (assume the orbit to be circular)

Options

A. 0.5
B. 1
C. 1.5
D. `2.0`

Answer

a

Explanation

`v=sqrt((GM)/(R))`
Angular momentum
`L=mRv=mR sqrt((GM)/(R))=msqrt(GM)R^(1//2)`
`therefore" " L prop R^(1//2)`.