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A non conducting sphere of radius \( a \) has a net charge \( +q \) uniformly distributed throughout its volume. A spherical conducting shell having inner and outer radii \( b \) and \( c \) and net charge \( -q \) is concentric with the sphere (see the figure).
Read the following statements.
(i) The electric field at a distance \( r \) from the center of the sphere for \( ra \) is \( \frac{1}{4 \pi \varepsilon_{0}} \frac{q r}{a^{3}} \).
(ii) The electric field at distance \( r \) for \( arb \) is 0 .
(iii) The electric field at distance \( r \) for \( brc \) is 0 .
(iv) The charge on the inner surface of the spherical shell is \( -q \).
(v) The charge on the outer surface of the spherical shell is \( +q \).
Which of the above statements are true?
(a) (i), (ii) and (v)
(b) (i), (iii) and (iv)
(c) (ii), (iii) and (iv)
(d) (ii), (iii) and (v)
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