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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionEasy2 minPYQ_2020

PhysicsEasysingle choice

A satellite is revolving in a circular orbit at a height $h$ above the surface of the earth of radius $R$ . The speed of the satellite in its orbit is one fourth the escape velocity from the surface of the earth. The relation between $h$ and $R$ is

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Answer:

Solution:

$υ_{0} = \frac{1}{4} υ_{e}$

$\sqrt{\frac{G M}{(R + h)}} = \frac{1}{4} \sqrt{\frac{2 G M}{R}}$

$\frac{G M}{(R + h)} = \frac{1}{16} \times \frac{2 G M}{R}$

$R + h = 8 (R)$

$R + h = 8 R$

$7 R = h$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2020

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