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PhysicsGravitationKepler's LawEasy2 minPYQ_2019

PhysicsEasysingle choice

If the angular momentum of a planet of mass $m,$ moving around the Sun in a circular orbit is $L,$ about the center of the Sun, its areal velocity is:

Question diagram: If the angular momentum of a planet of mass m , moving aroun

Options:

Answer:

C

Solution:

$\vec{d A} = \frac{1}{2} \vec{r} \times \vec{v} d t$

$\frac{d \vec{A}}{d t} =$ areal velocity $= \frac{1}{2} \vec{r} \times \vec{v}$

$= \frac{1}{2} \frac{\vec{r} \times m \vec{v}}{m} = \frac{1}{2 m} L$

$\frac{d A}{d t} = \frac{L}{2 m}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: PYQ_2019

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