There are three co-centric conducting... | Electrostatics

JEE MAIN 2026

24-1-2026 S1

Question

There are three co-centric conducting spherical shells $\mathrm{A}, \mathrm{B}$ and $C$ of radii $\mathrm{a}, \mathrm{b}$ and $c$ respectively $(c>b>a)$ and they are charged with charge $q_1, q_2$ and $q_3$ respectively. The potentials of the spheres $\mathrm{A}, \mathrm{B}$ and $C$ respectively, are:

Select the correct option:

$\frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{a}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{b}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{c}\right)$

$\frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{a}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1}{a}+\frac{q_2}{b}+\frac{q_3}{c}\right)$

$\frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1}{a}+\frac{q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{c}\right)$

$\frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1}{a}+\frac{q_2}{b}+\frac{q_3}{c}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{b}\right), \frac{1}{4 \pi \grave{\mathrm{o}}_{\mathrm{o}}}\left(\frac{q_1+q_2+q_3}{c}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Hard

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