If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

Question

If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to (A) r3 /r (B) r (C) √r (D) r2

Tardigrade Admin · Accepted Answer

For an orbit, angular momentum is conserved and this leads to one of Kepler's laws. For a circular orbit angular momentum is L=mvr =m √(GM/r)r Hence L propto √r

Q. If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

$r^{3} / r$

r

$r$

$r^{2}$

For an orbit, angular momentum is conserved and this leads to one of Kepler's laws. For a circular orbit angular momentum is
$L = m v r = m \frac{GM}{r} r$
Hence $L \propto r$

Q. If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

r3/r

r

r​

r2

For an orbit, angular momentum is conserved and this leads to one of Kepler's laws. For a circular orbit angular momentum is L=mvr=mrGM​​r Hence L∝r​

$r^{3} / r$

$r$

$r^{2}$

For an orbit, angular momentum is conserved and this leads to one of Kepler's laws. For a circular orbit angular momentum is
$L = m v r = m \frac{GM}{r} r$
Hence $L \propto r$