JEE Main 2025 April 3 Shift 2 Question Paper with Solutions Released - Download Free PDF

JEE Main 2025 April 3 Shift 2 Question Paper Exam Pattern and Structure

Also Check:

• JEE Main April 2 Answer Key 2025 Shift 1
  
• JEE Main April 2 Answer Key 2025 Shift 2
• JEE Main April 3 Answer Key 2025 Shift 1

Memory Based Questions

Q.1 Find out the magnitude of work done in the process ABCD (in kJ) (1 atm. Lit = 101.3 J)

Q.2 Amount of magnesium (Mg) (in mg ) required to liberate 224 mL of $\mathrm{H}_2$ gas at STP, when reacted with HCl

Q.3 Among Sc, Ti, Mn and Co, Calculate the spin only magnetic moment in +2 oxidation state of metal having highest heat of atomisation.

Q.4 Statement-1: Wet cotton cloths made up of cellulose based carbo hydrate Takes comparatively longer time to get dried than wet nylon based clothes
Statement - 2: Intermolecular hydrogen bonding with water molecule is more In nylon based clothes than in cotton clothes.
1. Statement - 1 and Statement - 2 are correct
2. Statement - 1 and Statement - $\mathbf{2}$ are incorrect
3. Statement - 1 is true and Statement - 2 is false
4. Statement - $\mathbf{1}$ is false and Statement - $\mathbf{2}$ is true

Q.5 . At 715 mm pressure, 300 K , volume of $\mathrm{N}_2(\mathrm{~g})$ evolved was 80 mL by a 0.4 g sample of organic compound. Find \% of N in organic compound Aq. tension at $300 \mathrm{~K}=15 \mathrm{~mm}$
$1 \quad20.95$
$2 \quad 25.85$
$\begin{array}{ll}3 & 30.25\end{array}$
$\begin{array}{lr}4 & 15.83\end{array}$

Q 1)An equilateral prism is made of a material of refractive index $\sqrt{2}$. Find the angle of incidence for minimum deviation of the light ray.

Q 2) The moment of inertia of a ring of mass $M$ and radius $R$ about an axis passing through the tangential point in the plane of the ring is

Q 3) What is the dimensional formula of $\frac{1}{\mu_0 \varepsilon_0}$ (where $\mu_0$ is permeability and $\varepsilon_0$ is permittivity of free space)

Q 4) Two water drops each of radius of r coalesce to form a bigger drop. If T is the surface tension, surface energy released in this process is

Q 5) A particle moves on a circular path of radius 1 m. Find its displacement when it moves from $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{A} \rightarrow \mathrm{B}$. Also its distance are it moves from $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{A}$ $\rightarrow \mathrm{B} \rightarrow \mathrm{A}$.

Q 6) A disc of mass $M$ and radius 2 m is hinged, keeping the axis horizontal. If angular acceleration of the disc is $2 \mathrm{rad} / \mathrm{s}^2$. Find moment of inertia

Q 7) Binding energy per nucleon in ${ }_1^2 \mathrm{H}$ is x and for ${ }_2^4 \mathrm{He}$ is y . Find energy released in the given reaction ${ }_1^2 \mathrm{H}+{ }_2^4 \mathrm{He} \rightarrow{ }_2^4 \mathrm{He}$

Q 1. If $\lim _{x \rightarrow 0}\left(\frac{\tan x}{x}\right)^{\frac{1}{x^2}}=p$, then $96 \ln p$ is

Q 2. Let $A=\{-3,-2,-1,0,1,2,3\}$. A relation $R$ is defined such that $x R y$ iff $y=\max \{x, 1\}$. Number of elements required to make it reflexive is $l$, number of elements required to make it symmetric as $m$ and number of elements in the relation $R$ is $n$. Then value of $l+m+n$ is equal to

Q 3. Let a circle $C$ with radius $r$ passes through four distinct points $(0,0),(k, 3 k)$, $(2,3)$ and $(-1,5)$, such that $k \neq 0$, then $\left(10 k+2 r^2\right)$ is equal to

Q 4. The distance of the point $(7,10,11)$ from the line $\frac{x-4}{1}=\frac{y-4}{0}=\frac{z-2}{3}$ along the line $\frac{x-9}{2}=\frac{y-13}{3}=\frac{z-17}{6}$ is

Q 5. $I=\int_0^\pi \frac{8 x}{4 \cos ^2 x+\sin ^2 x} d x$ equals to

1. $\pi^2$
2. $4 \pi^2$
3. $2 \pi^2$
4. $\frac{3}{2} \pi^2$

Q 6. $S=1+\frac{1+3}{1!}+\frac{1+3+5}{2!}+\ldots \infty$. The value of $S$ is equal to

1. $4 e-2$
2. $4 e$
3. $5 e$
4. $7 e$

JEE Main 2025 April 3 Shift 2 Question Paper with Solutions

Post the exam, JEE Main 2025 April 3 Shift 2 Question Paper and answer keys will be released. This change will test students on Physics, Chemistry and Mathematics on an application level with questions focused on conceptual understanding and problem-solving skills. Candidates who have appeared for the examination or are preparing for upcoming shifts may refer to the JEE Main 2025 April 3 Question Paper PDF Download to analyze question types and difficulty levels.

Watch Live Analysis of 3 April Shift 2

For preparation, you can also refer to the previous years question paper from the following:

JEE Main 2025 April 3 Answer Key & Solution PDF Download

After the answer key is officially released, candidates will be able to check their answers and evaluate their performance using the direct link to the JEE Main 2025 April 3 Answer Key PDF Download. Once all the shifts are conducted, the question paper of JEE Main 2025 April 3 All Shifts will be published here. The JEE Main 2025 April 3 Answer Key Download and solutions from every expert will be updated on this page.

JEE Main 2025 Previous Year Question Paper

Practicing Previous years papers are very important to help you get an idea of how the exam paper is going to be like. You can also refer to the previous years question paper from the following: