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Q.

Two concentric metallic shells are of radii r₁ and r₂ (r₂ > r₁). If charge given to outer sphere is q, and the inner sphere is ground. Then the charge on the inner sphere q¹ is

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a

$\frac{r_{1}}{r_{2}} q$

b

$- \frac{r_{1}}{r_{2}} q$

c

Zero

d

–q

answer is C.

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Detailed Solution

$V_{inner} = 0; \frac{1}{4 {πε}_{0}} [\frac{q}{r_{2}} + \frac{q_{1}}{r_{1}}] = 0; q_{1} = - q \frac{r_{1}}{r_{2}}$

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