Find the gravitational field intensity at point $P_{1}$ .

\frac{G M}{16 a^{2}}

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\frac{G M}{8 a^{2}}

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\frac{G M}{2 a^{2}}

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\frac{G M}{4 a^{2}}

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Solution

The correct option is A $\frac{G M}{16 a^{2}}$
Field at point $P_{1}$ due to the superposition of inner and outer spheres,
so, $g_{1} = \frac{G M}{(4 a)^{2}} = \frac{G M}{16 a^{2}}$
as field inside a shell is constant.

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Find the gravitational field intensity at point P1.

The correct option is A GM16a2Field at point P1 due to the superposition of inner and outer spheres,so, g1=GM(4a)2=GM16a2as field inside a shell is constant.

Find the gravitational field intensity at point $P_{1}$ .

The correct option is A $\frac{G M}{16 a^{2}}$
Field at point $P_{1}$ due to the superposition of inner and outer spheres,
so, $g_{1} = \frac{G M}{(4 a)^{2}} = \frac{G M}{16 a^{2}}$
as field inside a shell is constant.