Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b , and carries…

Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q . At its centre a dipole p→ is placed as shown then:

  1. Surface charge density on the inner surface of the shell is zero everywhere.
  2. Electric field outside the shell is the same as that of a point charge at the centre of the shell.
  3. Surface charge density on the inner surface is uniform and equal to (Q2)4πa2.
  4. Surface charge density on the outer surface depends on p→.

Solution

Net charge on dipole is zero, so it will not affect the charge distribution and electric field on the outside but the charge distribution inside the shell will disturbed.

Asked in: JEE Main 2019 (12 Apr Shift 1)

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