Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minPYQ_2020

PhysicsMediumsingle choice

A body is moving in a low circular orbit about a planet of mass $M$ and radius $R$ . The radius of the orbit can be taken to be $R$ itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is:

Options:

Answer:

Solution:

The orbital velocity of the body in an orbit of the radius $R$ is $v_{o} = \sqrt{\frac{G m}{R}}$

The escape velocity from the surface is $v_{e} = \sqrt{\frac{2 G m}{R}}$

Ratio, $\frac{v_{0}}{v_{e}} = \frac{\sqrt{\frac{G m}{R}}}{\sqrt{\frac{2 G m}{R}}} = \frac{1}{\sqrt{2}}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2020

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