RE-NEET2026Physics-Electrostatics

RE-NEET 2026 Physics Electric Potential MCQ Question

Type: MCQ-numerical-Hard-Class 12

A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric tube that is inside a charged dielectric sphere of radius R, having uniform positive charge density ρ, as shown in the figure. The initial and final positions of the charge are marked by A and B at distances 2R and 3R respectively, from the centre of the sphere. In this process, the magnitude of the total work done on the point charge is ρR2nε0\frac{\rho R^2}{n \varepsilon_0}. The value of n is (ε0\varepsilon_0 is the permittivity of vacuum).

Question diagram
A

6

B

9

C

18

D

2

Correct Answer

Option A

Detailed Explanation

The work done is related to the potential difference between points A and B. Using Gauss's law, the potential difference can be calculated, leading to n = 6.

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