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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasysingle choice

Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$ . If the gravitational force of attraction between the planet and the star is proportional to $R^{- \frac{5}{2}}$ , then

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Answer:

Solution:

Given, $F = K R^{- \frac{5}{2}}$

We know, $F = {mω}^{2} R$

$\Rightarrow ω^{2} \propto R^{- \frac{7}{2}}$

$\Rightarrow T^{2} \propto R^{\frac{7}{2}}$ ( since $T \propto \frac{1}{ω}$ )

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

⏱ 2mℹ️ Source: PYQ_2020

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