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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2017

PhysicsEasysingle choice

Assertion : Kepler's second law can be understood by conservation of angular momentum principle. Reason : Kepler's second law is related with areal velocity which can further be proved to be based on conservation of angular momentum as $(d A / d t) = (r^{2} ω) /2$ .

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Solution:

According to Kepler's law, $\frac{d A}{d t} =$ constant As, $\frac{d A}{d t} = \frac{1}{2} r^{2} \frac{d θ}{d t} = \frac{1}{2} r^{2} ω$ $∴ \frac{m r ^{2} ω}{2 m} = \frac{L}{2 m} = constant ∴ L = constant$

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

⏱ 2mℹ️ Source: PYQ_2017

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