Verified Solution • 2025–26 Session moderate

QJEEM21Ph9d83: JEE Main 2021 Physics - Class 12 JEEM21Ph9d83 Solution: Given below are two statements: Statement I : An electric…

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 :

Multiple Choice Options

  • A Both Statement I and Statement II are true
  • B Statement I is false but Statement II is true
  • C Statement I is true but Statement II is false
  • D Both Statement I and Statement II are false

Step-by-Step Verified Solution

Net charge on electric dipole = + q −- q = 0

Hence, according to Gauss's law,

Electric flux, ϕ=qnetε0=0ε0=0\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=14πε0 . QrR3E = {1 \over {4\pi {\varepsilon _0}}}\,.\,{{Qr} \over {{R^3}}} [when r < R, R →\to radius] which is non-zero.

Hence, statement II is false.

Hence, option (c) is the correct.

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