JEE Main 2025 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

-1

A point charge causes an electric flux of $-2 \times 10^4 \mathrm{Nm}^2 \mathrm{C}^{-1}$ to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is :

(Given $\epsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$ )

$17.7 \times 10^{-8} \mathrm{C}$

$-17.7 \times 10^{-8} \mathrm{C}$

$15.7 \times 10^{-8} \mathrm{C}$

$-15.7 \times 10^{-8} \mathrm{C}$

JEE Main 2025 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

-1

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 17 English

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

Potential energy of dipole is minimum and torque is zero.

Potential energy and torque both are maximum.

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

JEE Main 2025 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

-1

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 :

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

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

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

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

JEE Main 2025 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

-1

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

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

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

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

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