1
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
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An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density $\sigma_{\mathrm{o}}$. Choose the correct option from the following.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Electrostatics Question 36 English
A

Torque on dipole is zero and net force is directed away from the sheet.

B

Potential energy of dipole is minimum and torque is zero.

C

Potential energy and torque both are maximum.

D

Torque on dipole is zero and net force acts towards the sheet.

2
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
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An electric dipole of mass $m$, charge $q$, and length $l$ is placed in a uniform electric field $\vec{E} = E_0\hat{i}$. When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be :

A

$ \frac{1}{2\pi} \sqrt{\frac{ml}{2qE_0}} $

B

$ 2\pi \sqrt{\frac{ml}{2qE_0}} $

C

$ 2\pi \sqrt{\frac{ml}{qE_0}} $

D

$\frac{1}{2 \pi} \sqrt{\frac{2 \mathrm{~m} l}{\mathrm{q} \mathrm{E}_0}}$

3
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
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Match List - I with List - II.

List - I List - II
(A) Electric field inside (distance r > 0 from center) of a uniformly charged spherical shell with surface charge density σ, and radius R. (I) σ/ε0
(B) Electric field at distance r>0 from a uniformly charged infinite plane sheet with surface charge density σ. (II) σ/2ε0
(C) Electric field outside (distance r>0 from center) of a uniformly charged spherical shell with surface charge density σ, and radius R. (III) 0
(D) Electric field between 2 oppositely charged infinite plane parallel sheets with uniform surface charge density σ. (IV) $\frac{\sigma}{\epsilon_0 r^2}$

Choose the correct answer from the options given below :

A

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

B

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

C

(A)-(III), (B)-(II), (C)-(IV), (D)-(I)

D

(A)-(IV), (B)-(II), (C)-(III), (D)-(I)

4
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
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Three infinitely long wires with linear charge density $\lambda$ are placed along the $x-a x i s, y-a x i s$ and $z-$ axis respectively. Which of the following denotes an equipotential surface?

A
$\left(x^2+y^2\right)\left(y^2+z^2\right)\left(z^2+x^2\right)=$ constant
B
$x y z=$ constant
C
$x y+y z+z x=$ constant
D
$(x+y)(y+z)(z+x)=$ constant
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