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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceMedium2 minQB

PhysicsMediumsingle choice

3 particles each of mass m are revolving about each other in a circular path of radius r under the influence of their own gravity. Choose the incorrect statement.

Options:

Answer:

Solution:

The particles form an equilateral triangle of side $ℓ = 3 r$ ; COM is at the centre of the circle.

$F_{n e t} = 3 \frac{G m ^{2}}{ℓ ^{2}} = \frac{G m ^{2}}{3 r ^{2}} = \frac{m v ^{2}}{r} \Rightarrow v = \frac{G m}{3 r}$ .

So v decreases as r increases - statement (D) is incorrect. (Also $T = 2 π \frac{3}{G m} r^{3/2}$ checks out.) Hence (D).

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: QB

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