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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

The radii of two planets are respectively $R_{1}$ & $R_{2}$ and their densities are respectively $ρ_{1}$ & $ρ_{2}$ . The ratio of the acceleration due to gravity at their surface is -

Options:

Answer:

Solution:

The value of $g$ at surface

$g = \frac{{GM}_{} ρ}{R_{}^{2}} = \frac{G}{R_{}^{2}} . \frac{4π}{3} R_{}^{3} ρ$

$g = \frac{4}{3} π G R ρ$

So, $\frac{g_{1}}{g_{2}} = \frac{\frac{4}{3} π G R_{1} ρ_{1}}{\frac{4}{3} π G R_{2} ρ_{2}}$

$\Rightarrow \frac{g_{1}}{g_{2}} = \frac{R_{1} ρ_{1}}{R_{2} ρ_{2}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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