Question

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

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

L = mvr ----------(1)

$\frac{m{v}^2}{r}=\frac{GMm}{r^2}$ ---------(2)

From Eqs. (1) and (2), we can see that;

L = $m(GMr{)}^{\frac{1}{2}}$ or $L\propto r^{\frac{1}{2}}$