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Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)

1. E vs r (plot a)
2. E vs r (plot b)
3. E vs r (plot c)
4. E vs r (plot d)

Correct answer: E vs r (plot c)

Solution

The gravitational field inside a thin spherical shell is zero, and outside it decreases as 1/r². This corresponds to a plot where the field is zero for r < R and decreases inversely with the square of r for r > R.

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