Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialEasy2 minPYQ_2010

PhysicsEasysingle choice

Two planets $A$ and $B$ have the same material density. If the radius of $A$ is twice that of $B$ , then the ratio of the escape velocity $v_{A} / v_{B}$ is

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Answer:

Solution:

$v_{e} = 2 g R = \frac{2 GM}{R ^{2}} R = \frac{2 G d \frac{4}{3} π R ^{3}}{R ^{2}} R$ $= R 2 Gd \frac{4}{3} π$ as $v_{e} \propto R$ for same density, $\frac{v _{A}}{v _{B}} = 2$

Stream:BITSATSubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: PYQ_2010

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