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(B) $1$. The conducting sphere is uncharged,meaning the net charge on the sphere is $0$.$2$. When a point charge $+Q$ is placed inside the hollow cavi

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$\frac{kQ}{16a^2}$

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(B) $1$. The conducting sphere is uncharged,meaning the net charge on the sphere is $0$.$2$. When a point charge $+Q$ is placed inside the hollow cavity,an induced charge of $-Q$ appears on the inner surface of the cavity to maintain electrostatic equilibrium.$3$. Since the sphere is uncharged,a charge of $+Q$ must appear on the outer surface of the sphere to ensure the total charge remains $0$.$4$. For any point outside the sphere (like point $P$ at $r = 4a$),the electric field is determined by the total charge enclosed by a Gaussian surface passing through $P$.$5$. The total charge enclosed by a spherical Gaussian surface of radius $4a$ is the sum of the point charge $+Q$ inside the cavity and the induced charge $+Q$ on the outer surface of the conductor.$6$. Total charge $Q_{net} = (+Q) + (-Q) + (+Q) = +Q$.$7$. By Gauss's Law,the electric field at a distance $r = 4a$ from the center is $E = \frac{k Q_{net}}{r^2} = \frac{k Q}{(4a)^2} = \frac{kQ}{16a^2}$.

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