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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceMedium2 minQB

PhysicsMediumsingle choice

Passage / Comprehension

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h where h << R. Also assume a very small hole in the shell at point A.\\

The approx time it will take to reach point A :-

Options:

Answer:

Solution:

Since $h ≪ R$ , the acceleration stays nearly constant at $a = \frac{GM}{2 R ^{2}}$ directed towards A.

$h = \frac{1}{2} a t^{2}$ (as $h ≪ R$ )

$\Rightarrow t = 2 \frac{h R ^{2}}{GM}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: QB

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