Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasysingle choice

A planet of mass $m$ is in an elliptical orbit about the sun $(m < < M_{sun})$ with an orbital period $T$ . If $A$ be the area of orbit, then its angular momentum would be

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Answer:

Solution:

using Kepler's II^ndlaw ; areal velocity = constant = $\frac{L}{2 m}$

⇒ $\frac{d A}{d t}$ = $\frac{L}{2 m}$

⇒ $L = 2 m \frac{d A}{d t}$

$L = \frac{2 m A}{T}$

Subject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: PYQ_2020

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