JEE Main 2019 — Physics solution

JEE Main2019Physics

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 is a dipole $P$ as shown. In this case:

A
Surface charge density on the outer surface depends on $P$
B
Surface charge density on the inner surface is uniform and equal to $\frac{( Q /2 )}{4 π a ^{2}}$
C
Electric field outside the shell is the same as that of point charge at the centre of the shell
D
Surface charge density on the inner surface of the shell is zero everywhere

Solution

Since dipole is having zero net charge. So inside surface shall have non-zero non-uniform charge distribution. And net field outside the region would be same as that would have been for point charge at surface.

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