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A point charge $' q'$ is placed inside a conducting spherical shell of inner radius $2 R$ and outer radius $3 R$ at a distance of $' R'$ from the centre of the shell. The electric potential at the centre of shell will be

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$\frac{Q}{3 π \in_{0} R}$

$\frac{Q}{8 π \in_{0} R}$

$\frac{Q}{6 π \in_{0} R}$

$\frac{5 Q}{24 π \in_{0} R}$

answer is D.

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Detailed Solution

$V = \frac{1}{4 {πε}_{0}} Q [\frac{1}{3 R} - \frac{1}{2 R} + \frac{1}{R}] V = \frac{5 Q}{24 {πε}_{o} R}$

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