JEE Main 2026 (Online) 24th January Morning Shift | Electrostatics Question 14 | Physics

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JEE Main 2026 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

-1

The electrostatic potential in a charged spherical region of radius $r$ varies as $V=a r^3+b$, where $a$ and $b$ are constants. The total charge in the sphere of unit radius is $\alpha \times \pi a \in_0$. The value of $\alpha$ is $\_\_\_\_$ .

(permittivity of vacuum is $\epsilon_0$ )

-12

-8

-9

-6

JEE Main 2026 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

-1

There are three co-centric conducting spherical shells $A, B$ and $C$ of radii $a, b$ 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 $A, B$ and $C$ respectively, are :

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

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

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

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

JEE Main 2026 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

-1

Three charges $+2 q,+3 q$ and $-4 q$ are situated at $(0,-3 a),(2 a, 0)$ and $(-2 a, 0)$ respectively in the $x y$ plane. The resultant dipole moment about origin is $\_\_\_\_$ .

$2 q a(7 \hat{i}-3 \hat{j})$

$2 q a(3 \hat{j}-7 \hat{i})$

$2 q a(3 \hat{i}-7 \hat{j})$

$2 q a(3 \hat{j}-\hat{i})$

JEE Main 2026 (Online) 23rd January Evening Shift

MCQ (Single Correct Answer)

-1

Two shorts dipoles $(A, B), A$ having charges $\pm 2 \mu \mathrm{C}$ and length 1 cm and $B$ having charges $\pm 4 \mu \mathrm{C}$ and length 1 cm are placed with their centres 80 cm apart as shown in the figure. The electric field at a point $P$, equi-distant from the centres of both dipoles is $\_\_\_\_$ N/C.

JEE Main 2026 (Online) 23rd January Evening Shift Physics - Electrostatics Question 16 English

$\frac{9}{16} \sqrt{2} \times 10^5$

$\frac{9}{16} \sqrt{2} \times 10^4$

$9 \sqrt{2} \times 10^4$

$4.5 \sqrt{2} \times 10^4$

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