If r is the distance between the Earth and the Sun. Then, angular momentum of the Earth around the sun is proportional to

Options

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

Answer

C

Explanation

Angular momentum of the earth around the sun is
`L = M_E v_0 r = M_E sqrt((GM)/( r)) r " " ( because v_0 = sqrt((GM_s)/(r )) )`
or `L = [ M_E^2 GM_s r]^(1//2) therefore L prop sqrtr`
Where , `M_E` = Mass of the earth, `M_S` - Mass of the sun
r = Distance between the sun and the earth