$2 r < x < 2 R$

\frac{G m m^{'}}{4 (x - x)^{2}}

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\frac{G m m^{'}}{(x - r)^{2}}

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\frac{G m m^{'}}{(x - r)^{3}}

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\frac{2 G m m^{'}}{(x - r)^{2}}

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Solution

The correct option is B $\frac{G m m^{'}}{(x - r)^{2}}$
Since particle is inside the shell, there is no force exerted by shell on the particle.
Gravitational force due to sphere= $\frac{G m m^{'}}{(x - r)^{2}}$

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2r<x<2R

The correct option is B Gmm′(x−r)2Since particle is inside the shell, there is no force exerted by shell on the particle.Gravitational force due to sphere=Gmm′(x−r)2

$2 r < x < 2 R$

The correct option is B $\frac{G m m^{'}}{(x - r)^{2}}$
Since particle is inside the shell, there is no force exerted by shell on the particle.
Gravitational force due to sphere= $\frac{G m m^{'}}{(x - r)^{2}}$