Assertion (A): A particle of mass m dropped i | vedclass

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(B) The gravitational force on a particle of mass $m$ at a distance $r$ from the center of the Earth (where $r < R_e$) is given by $F = -\frac{GMmr}{R

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Both $(A)$ and $(R)$ are true but $(R)$ is not the correct explanation of $(A)$

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(B) The gravitational force on a particle of mass $m$ at a distance $r$ from the center of the Earth (where $r Since $F \propto -r$,the force is a restoring force proportional to the displacement from the center,which is the condition for Simple Harmonic Motion $(SHM)$. Thus,Assertion $(A)$ is true.The Reason $(R)$ states Newton's Law of Gravitation,which is also a true statement $(F \propto 1/r^2)$.However,the motion inside the Earth is governed by the effective gravitational field inside a sphere,where the force is proportional to $r$,not $1/r^2$. Therefore,$(R)$ is not the correct explanation for $(A)$.

Assertion $(A)$: $A$ particle of mass $m$ dropped into a hole made along the diameter of the Earth from one end to the other possesses simple harmonic motion.
Reason $(R)$: Gravitational force between any two particles is inversely proportional to the square of the distance between them.

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Assertion $(A)$: $A$ particle of mass $m$ dropped into a hole made along the diameter of the Earth from one end to the other possesses simple harmonic motion.Reason $(R)$: Gravitational force between any two particles is inversely proportional to the square of the distance between them.