Given below are two statements:
Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere is zero but the electric field is not zero anywhere in the sphere.
Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at any point on the spherical surface of radius r (< R) is zero but the electric flux passing through this closed spherical surface of radius r is not zero..
In the light of the above statements, choose the correct answer from the options given below :
Solution
<p>Net charge on electric dipole = + q $-$ q = 0</p>
<p>Hence, according to Gauss's law,</p>
<p>Electric flux, $$\phi = {{{q_{net}}} \over {{\varepsilon _0}}} = {0 \over {{\varepsilon _0}}} = 0$$</p>
<p>Electric field due to electric dipole is non-zero and varies at point to point.</p>
<p>Hence, statement I is true.</p>
<p>Electric field due to charged solid sphere at a distance r from centre.</p>
$E = {1 \over {4\pi {\varepsilon _0}}}\,.\,{{Qr} \over {{R^3}}}$ [when r < R, R $\to$ radius] which is non-zero.</p>
<p>Hence, statement II is false.</p>
<p>Hence, option (c) is the correct.</p>
About this question
Subject: Physics · Chapter: Electrostatics · Topic: Gauss's Law
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