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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 zero.
In the light of the above statements, choose the correct answer from the options given below:
- Both Statement I and Statement II are true
- Statement I is true but Statement II is false
- Both Statement I and Statement II are false
- Statement I is false but Statement II is true
Correct answer: Statement I is true but Statement II is false
Solution
Statement I is correct because the electric field due to an electric dipole can exist within the sphere, but the net electric flux through a closed surface surrounding it is zero due to symmetry. Statement II is incorrect because, for a solid metallic sphere, the electric field inside is zero, and thus the electric flux through a closed surface inside the sphere must also be zero.
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