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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Two planets $A$ and $B$ have the same average density. Their radii $R_{A}$ and $R_{B}$ are such that $R_{A} : R_{B} = 3 : 1$ . If $g_{A}$ and $g_{B}$ are the acceleration due to gravity at the surfaces of the planets, the $g_{A} : g_{B}$ equals

Options:

Answer:

Solution:

Given,

$\frac{R_{A}}{R_{B}} = \frac{3}{1}$ .....(i)

and $ρ_{A} = ρ_{B}$ ....(ii)

$∵$ Average density, $ρ = \frac{3 g}{4 π R G}$

$∴$ From Equation (ii),

$\Rightarrow \frac{3 g_{A}}{4 π R_{A} G} = \frac{3 g_{B}}{4 π R_{B} G} \Rightarrow \frac{g_{A}}{g_{B}} = \frac{R_{A}}{R_{B}}$

From Equation (i),

$\frac{g_{A}}{g_{B}} = \frac{3}{1}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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