1
JEE Main 2025 (Online) 24th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
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JEE Main 2025 (Online) 24th January Evening Shift Physics - Electrostatics Question 22 English

In the first configuration (1) as shown in the figure, four identical charges $\left(q_0\right)$ are kept at the corners A, B, C and D of square of side length ' $a$ '. In the second configuration (2), the same charges are shifted to mid points $G, E, H$ and $F$, of the square. If $K=\frac{1}{4 \pi \epsilon_0}$, the difference between the potential energies of configuration (2) and (1) is given by :

A
$\frac{K q_0^2}{a}(4-2 \sqrt{2})$
B
$\frac{K q_0^2}{a}(4 \sqrt{2}-2)$
C
$\frac{\mathrm{Kq}_0^2}{\mathrm{a}}(3-\sqrt{2})$
D
$\frac{\mathrm{Kq}_0^2}{\mathrm{a}}(3 \sqrt{2}-2)$
2
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Consider a parallel plate capacitor of area A (of each plate) and separation ' $d$ ' between the plates. If $E$ is the electric field and $\varepsilon_0$ is the permittivity of free space between the plates, then potential energy stored in the capacitor is

A
$\varepsilon_0 \mathrm{E}^2 \mathrm{Ad}$
B
$\frac{3}{4} \varepsilon_0 \mathrm{E}^2 \mathrm{Ad}$
C
$\frac{1}{4} \varepsilon_0 \mathrm{E}^2 \mathrm{Ad}$
D
$\frac{1}{2} \varepsilon_0 \mathrm{E}^2 \mathrm{Ad}$
3
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
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Two point charges $-4 \mu \mathrm{c}$ and $4 \mu \mathrm{c}$, constituting an electric dipole, are placed at $(-9,0,0) \mathrm{cm}$ and $(9,0,0) \mathrm{cm}$ in a uniform electric field of strength $10^4 \mathrm{NC}^{-1}$. The work done on the dipole in rotating it from the equilibrium through $180^{\circ}$ is :

A
18.4 mJ
B
12.4 mJ
C
16.4 mJ
D
14.4 mJ
4
JEE Main 2025 (Online) 23rd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Two charges $7 \mu \mathrm{c}$ and $-4 \mu \mathrm{c}$ are placed at $(-7 \mathrm{~cm}, 0,0)$ and $(7 \mathrm{~cm}, 0,0)$ respectively. Given, $\epsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$, the electrostatic potential energy of the charge configuration is :

A
$-2.0$ J
B
$-1.5$ J
C
$-1.2$ J
D
$-1.8$ J
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