Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceMedium2 minPYQ_2010

PhysicsMediumsingle choice

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius ' $R$ ' around the sun will be proportional to

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Answer:

Solution:

$F = KR^{- n} = MR ω^{2} \Rightarrow ω^{2} = KR^{- (n + 1)}$ or $ω = K^{'} R^{\frac{- ( n + 1 )}{2}}$ [where $K^{'} = K^{1/2}$ , a constant $]$ $\frac{2 π}{T} α R^{\frac{- ( n + 1 )}{2}} ∴ T α R^{\frac{( n + 1 )}{2}}$

Stream:BITSATSubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2010

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