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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020

PhysicsEasysingle choice

At what altitude will the acceleration due to gravity be $25 %$ of that at the earth's surface (given radius of the earth is $R$ )

Options:

Answer:

Solution:

$g = \frac{GM}{r^{2}}$

$\Rightarrow g_{0} = \frac{GM}{R^{2}} . . . (1)$

${⇒g}_{h} = \frac{GM}{{(R + h)}^{2}} . . . (2)$

$\frac{g_{h}}{g_{0}} = {(\frac{R}{R + h})}^{2} \Rightarrow \frac{1}{4} = {(\frac{R}{R + h})}^{2}$

$\Rightarrow \frac{R}{R + h} = \frac{1}{2}$

$⇒R + h = 2 R$

$\Rightarrow h = R$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2020

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