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Q.

A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric filed due to the sphere at a distance r from its centre

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a

Is discontinuous at r =R.

b

decreases as r increases for 0<r<R.

c

increases as r increases for r<R

d

decreases as r increases for $R < r < \infty$

answer is A, C.

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Detailed Solution

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$E = \{\begin{matrix} \frac{kq}{r^{2}} & R \leq r \leq \infty \\ \frac{kq}{R^{2}} & r = R \\ \frac{kq}{R^{3}} r & 0 \leq r \leq R \end{matrix}\}$

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