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 is zero but the electric flux passing through this closed spherical surface of radius is not zero.
In the light of the above statements, choose the correct answer from the options given below :
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 is zero but the electric flux passing through this closed spherical surface of radius is not zero.
In the light of the above statements, choose the correct answer from the options given below :
- (A)Statement I is false but Statement II is true
- (B)Both Statement I and Statement II are true
- (C)Statement I is true but Statement II is false✓ Correct
- (D)Both Statement I and Statement II are false
Answer: (C)
Solution
Statement I is true: A dipole has zero net charge, so by Gauss's law the flux through any closed surface is zero. However, the electric field is non-zero at points inside the sphere (except at the center). Statement II is false: Inside a conductor (solid metallic sphere), the electric field is zero everywhere, including at radius . Since there is no enclosed charge within radius (all charge resides on the surface at ), the flux through a Gaussian surface at radius is also zero. Thus Statement I is true but Statement II is false.
JEE Main · 2021 · 26 Feb 2021 · Shift 2 · Single correct option