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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionMedium2 minPYQ_2023

PhysicsMediumsingle choice

The radius of the orbit of a geostationary satellite is (mean radius of earth is ' $R$ ', angular velocity about own axis is ' $ω$ ' and acceleration due to gravity on earth's surface is ' $g$ ')

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Answer:

Solution:

$mr ω^{2} = \frac{GMm}{r ^{2}}$ $ω^{2} = \frac{GM}{r ^{3}} = \frac{g R ^{2}}{r ^{3}} \dots (∵ g = \frac{GM}{R ^{2}})$ $∴$ Radius of the orbit of the satellite is: $r = (\frac{gR ^{2}}{ω ^{2}})^{\frac{1}{3}}$

Stream:MHT_CETSubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2023

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