Given below are two statements Statement I : An electric dipole is placed at the centre of a hollow sphere.…

Given below are two statements
Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of 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

In the light of the above statements, choose the correct answer from the options given below:

  1. Both Statement I and Statement II are true
  2. Statement I is false but Statement II is true
  3. Statement I is true but Statement II is false
  4. Both Statement I and Statement II are false

Solution

∮E→·ds→=qinε0=0=ϕ

Flux of E→ through sphere is zero.

But ∮E→·ds→=0⇒E→·ds→≠0 for small section ds only

Statement-2

As change encloses within gaussian surface is equal to zero.

ϕ=∮E→·ds→=0

Asked in: JEE Main 2021 (26 Feb Shift 2)

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