Gravitation - Result Question 29

30. 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)

[2012M]

(a)

(b)

(c)

(d)

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Answer:

Correct Answer: 30. (b)

Solution:

  1. (b) The Gravitational field due to a thin spherical shell of radius $R$ at distance $r$.

$E=\frac{G M}{r^{2}}($ If $r>R)$ For $r=R$ i.e., on the surface of the shell

$ E=\frac{G M}{R^{2}} $

For $r<R$ i.e., inside the shell

$ E=0 $