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Q.

A +4c point charge is placed at a radial distance of 5cm inside a thick metallic shell having inner radius 10cm and outer radius 15cm. The shell is carrying a charge -2 coul. Then select the correct option.

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a

Induced charge on the inner surface of the shell is -4c and its distribution is uniform.

b

Induced charge on the inner surface of the shell is -3c and its distribution is non-uniform.

c

Induced charge on the outer surface of the shell is -2c and its distribution is non-uniform.

d

Induced charge on the outer surface is +2c and its distribution is uniform.

answer is D.

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Detailed Solution

the charge (already existing and induced) appearing on the outer surface is not influenced by the electric field produced by the 4 coul charge placed inside the shell. So the charge on the outer the surface will be uniformly distributed and this charge is equal to [+4c +(-2c)] i.e. +2c.

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