Question:
There is a shell of mass $M$ and density of the shell is uniform. The work done to take a point mass from point $A$ to $B$ is $[A B=r]$
There is a shell of mass $M$ and density of the shell is uniform. The work done to take a point mass from point $A$ to $B$ is $[A B=r]$
Updated On: Jan 30, 2025
- $\frac{GmM}{r}$
- $\frac{GmM}{R}$
- $ - \frac{GmM}{r}$
- zero
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The Correct Option is D
Solution and Explanation
Gravitaional field inside the shell is zero, so no work required.
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Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].