1
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
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A point particle of charge $Q$ is located at $P$ along the axis of an electric dipole 1 at a distance $r$ as shown in the figure. The point P is also on the equatorial plane of a second electric dipole 2 at a distance r. The dipoles are made of opposite charge q separated by a distance $2 a$. For the charge particle at P not to experience any net force, which of the following correctly describes the situation?

JEE Main 2025 (Online) 23rd January Morning Shift Physics - Electrostatics Question 28 English

A
$\frac{a}{r} \sim 0.5$
B
$\frac{a}{r} \sim 3$
C
$\frac{a}{r} \sim 10$
D
$\frac{a}{r} \sim 20$
2
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' $h$ ' in terms of the angle of incidence ' $i$ ' and angle of refraction ' $r$ ', if the glass slab is placed in air medium?

A
$\mathrm{h}$
B
$\frac{h \cos (i-r)}{\sin r}$
C
$\frac{\mathrm{h} \tan (\mathrm{i}-\mathrm{r})}{\tan \mathrm{r}}$
D
$\frac{h \sin (i-r)}{\cos r}$
3
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A sub-atomic particle of mass $10^{-30} \mathrm{~kg}$ is moving with a velocity $2.21 \times 10^6 \mathrm{~m} / \mathrm{s}$. Under the matter wave consideration, the particle will behave closely like $\qquad$ $\left(\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right)$

A
X-rays
B
Infra-red radiation
C
Gamma rays
D
Visible radiation
4
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The position of a particle moving on $x$-axis is given by $x(t)=A \sin t+B \cos ^2 t+C t^2+D$, where $t$ is time. The dimension of $\frac{A B C}{D}$ is

A
$\mathrm{L}$
B
$\mathrm{L}^3 \mathrm{~T}^{-2}$
C
$\mathrm{L}^2 \mathrm{~T}^{-2}$
D
$\mathrm{L}^2$
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