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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawMedium2 minPYQ_2022

PhysicsMediumsingle choice

The time period $T$ of a satellite is related to the density $(ρ)$ of the plane which is orbiting close around the planet as.

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Answer:

Solution:

According to Kepler's Law of orbits $T^{2} \propto R^{3}$ Density $ρ \propto \frac{M}{( \frac{4}{3} π R ^{3} )} \Rightarrow ρ \propto R^{- 3}$ $\Rightarrow T^{2} \propto \frac{1}{ρ} \Rightarrow T \propto ρ^{\frac{- 1}{2}}$

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

⏱ 2mℹ️ Source: PYQ_2022

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