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Electrostatics question

2022 · Shift 2 · Q45

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JEE Advanced
Physics
Electrostatics
2022 · Shift 2 · Q45

Electrostatics question

2022 · Shift 2 · Q45

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −2

In the figure, the inner (shaded) region

A

represents a sphere of radius

r_{A}=1

, within which the electrostatic charge density varies with the radial distance

r

from the center as

\rho_{A}=k r

, where

k

is positive. In the spherical shell

B

of outer radius

r_{B}

, the electrostatic charge density varies as

\rho_{B}=\frac{2 k}{r}

. Assume that dimensions are taken care of. All physical quantities are in their SI units. JEE Advanced 2022 Paper 2 Online Physics - Electrostatics Question 25 English

JEE Advanced 2022 Paper 2 Online Physics - Electrostatics Question 25 English

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

A
If $r_{B}=\sqrt{\frac{3}{2}}$ , then the electric field is zero everywhere outside $B$ .
B
If $r_{B}=\frac{3}{2}$ , then the electric potential just outside $B$ is $\frac{k}{\epsilon_{0}}$ .
C
If $r_{B}=2$ , then the total charge of the configuration is $15 \pi k$ .
D
If $r_{B}=\frac{5}{2}$ , then the magnitude of the electric field just outside $B$ is $\frac{13 \pi k}{\epsilon_{0}}$ .

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