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Q.

A point charge q is placed within the cavity of an electrically neutral conducting shell whose outer surface has spherical shape (figure). Then,

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a

the potential V at point P lying outside the shell at a distance r from the centre O of the outer surface depends upon the value of x

b

potential at P does not depend upon the value of x

c

a total charge q will be induced on the outer surface of the shell which will be distributed uniformly on the outer surface

d

a total charge -q will be induced on the inner surface of the shell, which will be distributed nonuniformly on the inner surface

answer is B.

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Detailed Solution

VP=kqr (independent of x ) The potential at P is due to only outer charge +q but not due to inner charges +q and -q.
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A point charge q is placed within the cavity of an electrically neutral conducting shell whose outer surface has spherical shape (figure). Then,