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Both question (a) and (b) refer to the system of charges as shown in the figure. A thick spherical shell with an inner radius ' \( a \) ' and an outer radius ' \( b \) ' is made of conducting material. A point charge \( +Q \) is
\( \mathrm{P} \) placed at the centre of the spherical shell and a total charge \( -\mathrm{q} \) is placed on the shell.
(a) Charge \( -\mathrm{q} \) is distributed on the surfaces as
(A) \( -Q \) on the inner surface, \( -\mathrm{q} \) on outer surface
(B) \( -\mathrm{Q} \) on the inner surface, \( -\mathrm{q}+\mathrm{Q} \) on the outer surface
(C) \( +Q \) on the inner surface, \( -q-Q \) on the outer surface
(D) The charge \( -\mathrm{q} \) is spread uniformly between the inner and outer surface.
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(b) Assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance \( \mathrm{R}(\mathrm{a}\mathrm{R}\mathrm{b}) \) from the centre of the shell is
(A) 0
(B) \( \frac{\mathrm{KQ}}{\mathrm{a}} \)
(C) \( \mathrm{K} \frac{\mathrm{Q}-\mathrm{q}}{\mathrm{R}} \)
(D) \( \mathrm{K} \frac{\mathrm{Q}-\mathrm{q}}{\mathrm{b}} \)
(where \( \mathrm{K}=\frac{1}{4 \pi \varepsilon_{0}} \) )
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