Question 509: Electrostats & Capacitance

Question

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 :

Accepted Answer

Net charge on electric dipole = + q $$-$$ q = 0
Hence, according to Gauss's law,
Electric flux, $$\phi  = {{{q_{net}}} \over {{\varepsilon _0}}} = {0 \over {{\varepsilon _0}}} = 0$$
Electric field due to electric dipole is non-zero and varies at point to point.
Hence, statement I is true.
Electric field due to charged solid sphere at a distance r from centre.
$$E = {1 \over {4\pi {\varepsilon _0}}}\,.\,{{Qr} \over {{R^3}}}$$ [when r < R, R $$	o$$ radius] which is non-zero.
Hence, statement II is false.
Hence, option (c) is the correct.

Answer

Both Statement I and Statement II are true

Answer

Statement I is false but Statement II is true

Answer

Statement I is true but Statement II is false

Answer

Both Statement I and Statement II are false

Electrostats & Capacitance

Choose the correct answer: