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(A) The gravitational field intensity at a point due to a hollow spherical shell is given by:$1$. For a point outside the shell $(r > R_{shell})$,the

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$-\frac{GM}{r^2}$

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(A) The gravitational field intensity at a point due to a hollow spherical shell is given by:$1$. For a point outside the shell $(r > R_{shell})$,the field is $E = -\frac{GM}{r^2}$.$2$. For a point inside the shell $(r In the given problem,point $P$ is at a distance $r$ from the center such that $R For the inner sphere of radius $R$,point $P$ is outside,so the field intensity is $E_1 = -\frac{GM}{r^2}$.For the outer sphere of radius $2R$,point $P$ is inside,so the field intensity is $E_2 = 0$.The net gravitational field intensity at point $P$ is $E = E_1 + E_2 = -\frac{GM}{r^2} + 0 = -\frac{GM}{r^2}$.

Two concentric hollow spheres of radius $R$ and $2R$ have the same mass $M$,as shown in the figure. The gravitational field intensity at point $P$ (where $R < r < 2R$) is:

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