1
JEE Main 2025 (Online) 23rd January Morning Shift
Numerical
+4
-1
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If the area of the larger portion bounded between the curves $x^2+y^2=25$ and $\mathrm{y}=|\mathrm{x}-1|$ is $\frac{1}{4}(\mathrm{~b} \pi+\mathrm{c}), \mathrm{b}, \mathrm{c} \in N$, then $\mathrm{b}+\mathrm{c}$ is equal to _________

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2
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
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Given below are two statements:

Statement I: The hot water flows faster than cold water

Statement II: Soap water has higher surface tension as compared to fresh water. In the light above statements, choose the correct answer from the options given below

A
Both Statement I and Statement II are false
B
Both Statement I and Statement II are true
C
Statement I is false but Statement II is true
D
Statement I is true but Statement II is false
3
JEE Main 2025 (Online) 23rd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
$\frac{a}{r} \sim 20$
4
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
$\frac{h \sin (i-r)}{\cos r}$
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