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

For an orbit, angular momentum is conserved and this leads to one of Kelper's laws. For a circular orbit angular momentum is
`L=mvr=msqrt((GM)/(r))r`
Hence,`" "Lprop sqrtr`.