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JEE Advanced 2022 Paper 2

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Question : 27

Total: 54

In the figure, the inner (shaded) region A represents a sphere of radius rA=1, within which the electrostatic charge density varies with the radial distance r from the center as ρA=kr, where k is positive. In the spherical shell B of outer radius rB, the electrostatic charge density varies as ρB=‌

. Assume that dimensions are taken care of. All physical quantities are in their SI units.

Which of the following statement(s) is(are) correct?

If rB=√‌
3
2
, then the electric field is zero everywhere outside B.
If rB=‌
3
2
, then the electric potential just outside B is ‌
k
E0
.
If rB=2, then the total charge of the configuration is 15πk.
If rB=‌
5
2
, then the magnitude of the electric field just outside B is ‌
13πk
E0
.

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