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Question

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m is released at the mouth of the hole. Then


A

The particle will execute simple harmonic motion inside the shell

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B

The particle will oscillate inside the shell, but the oscillations are not simple harmonic

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C

The particle will not oscillate, but the speed of the particle will go on increasing

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D

The particle will remain at rest

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Solution

The correct option is D

The particle will remain at rest


Net gravitational field inside a shell is zero. Hence, net force on the particle will be zero i.e., the particle stays at rest in its original position


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