Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020

PhysicsEasysingle choice

If the radius of the earth were to shrink by $1 %$ its mass remaining same, the acceleration due to gravity on the earth's surface would

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Answer:

Solution:

$g = \frac{G M}{R^{2}}; g^{'} = \frac{G M}{R^{' 2}} = \frac{G M {(100)}^{2}}{{(99)}^{2} R^{2}}$

% increase in $g = \frac{(g^{'} - g) \times 100}{g}$

$= (\frac{g'}{g} - 1) \times 100 = [{(\frac{100}{99})}^{2} - 1] \times 100$

$[{(1 + \frac{1}{99})}^{2} - 1] \times 100 \approx 2 %$

Subject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2020

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