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:

  • [JEE MAIN 2021]
  • A

    Both Statement $I$ and Statement $II$ are true

  • B

    Statement $I$ is true but Statement $II$ is false

  • C

    Both Statement $I$ and Statement $II$ are false

  • D

    Statement $I$ is false but Statement $II$ is true.

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