Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceHard2 minPYQ_2021

PhysicsHardsingle choice

Two stars of masses $m$ and $2 m$ at a distance $d$ rotate about their common centre of mass in free space. The period of revolution is

Answer:

Solution:

$F = \frac{G (2 m) m}{d^{2}} = (2 m) ω^{2} (d / 3)$

$\frac{G m}{d^{2}} = ω^{2} \frac{d}{3}$

$\Rightarrow ω^{2} = \frac{3 G m}{d^{3}}$

$\Rightarrow ω = \sqrt{\frac{3 G m}{d^{3}}}$

$\Rightarrow T = \frac{2 π}{ω} = 2 π \sqrt{\frac{d^{3}}{3 G m}}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2021

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