Which one of the following graphs represents correctly the variation of the gravitational field

step 1 Here the correct answer will be that is option B and now I will give here explanation so explana

Which one of the following graphs represents correctly the...

Key Concepts

Inverse-Square Law

The inverse-square law is a fundamental principle that dictates how the intensity of a field, such as gravity, diminishes as the distance from its source increases. For a point mass or a spherically symmetric distribution of mass, the gravitational field is inversely proportional to the square of the distance from the center, reflecting how gravitational influence weakens with increased separation.

Gravitational Field Outside a Spherical Shell

Outside a spherical shell, the gravitational field behaves the same as that produced by a point mass located at the center of the shell. As a result, the magnitude of the gravitational field decreases with distance following an inverse-square law, which makes the field's strength proportional to 1/r².

Shell Theorem

The shell theorem states that for a spherically symmetric shell of mass, the gravitational force experienced by an object located inside the shell is zero, and for an object outside the shell, the shell's gravitational effect is as if all its mass were concentrated at its center. This theorem is fundamental in understanding how gravitational fields behave in response to spherically symmetric mass distributions.

Gravitational Field Inside a Spherical Shell

For any point inside a hollow, uniformly distributed spherical shell, the gravitational field is exactly zero. This occurs because the contributions to the gravitational force from all parts of the shell cancel out, regardless of the position within the shell.

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