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NEET 2012 (AIPMT, Mains) · Gravitational Field

Gravitational Field question from NEET 2012 (AIPMT, Mains)

Q15NEET 2012 · AIPMT · MAINSEasy

Gravitational Field

Which one of the following plots represents the variation of gravitiational 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)

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Answer: (b)

Inside a thin shell ( $r < R$ ): $E = 0$ .
Outside ( $r \ge R$ ): $E = \frac{GM}{r^2}$ , maximum at $r = R$ and falling as $\frac{1}{r^2}$ .
So the graph is zero up to $R$ , jumps to maximum at $R$ , then decreases.
So the answer is (b).

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