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A spherical shell, made of material of electrical conductivity $10^{9} / π (Ωm)^{- 1}$ has thickness t = 2mmandradius R - 10 cm. In an arrangement, its inside surface is kept at a lower potential than its outside. surface. The resistance offered by the shell is equal to

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$5 π \times 10^{- 12} Ω$

$2.5 \times 10^{- 11} Ω$

$5 \times 10^{- 12} Ω$

$5 \times 10^{- 11} Ω$

answer is D.

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Detailed Solution

$R = \frac{1}{σ} \times \frac{t}{4 {πR}^{2}}$
Using values, R = 5 x 10^-11 Ω

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