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Q.

A shell made of a conductor has inner radius a and outer radius b. and it carries charge Q. A dipole of dipole moment P→ is placed at its centre. Choose the correct alternative:

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a

electric field outside the shell is the same as that of a point charge Q at the centre of the shell.

b

surface charge density on the inner surface of the shell is zero everywhere

c

surface charge density on the inner surface is uniform and equal to Q24πa2

d

surface charge density on the outer surface depends on |P→|.

answer is A.

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Detailed Solution

(i) Electric field outside sphere does not depends on inside charge, it depends on only outer charge.(ii) Surface charge density on inner surface is non-uniform and zero.(iii) Surface charge density on outer surface is non-uniform and zero,(iv) Surface charge density on outer surface does not depend on |P¯|
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