A solid metallic sphere has a charge +3Q. Concentric with this sphere… | MHT CET 2023 (9 May, Shift 1)

Q71MHT CET 2023 · 9 MAY · SHIFT 1Medium

Electric Flux & Gauss's Law

A solid metallic sphere has a charge $+3Q$ . Concentric with this sphere is a conducting spherical shell having charge $-Q$ . The radius of the sphere is ' $A$ ' and that of the spherical shell is ' $B$ '. $(B > A)$ . The electric field at a distance ' $R$ ' $(A < R < B)$ from the centre is ( $\varepsilon_0 =$ permittivity of vacuum)

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Answer: (c)

A Gaussian sphere of radius $R$ ( $A < R < B$ ) encloses only the inner sphere's charge $+3Q$ ; the shell's charge lies outside.
$E = \frac{3Q}{4\pi\varepsilon_0 R^2}$
So the answer is (c).

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