JEE Mains 2026 April 2 Shift 1 Question Paper with Solutions PDF (Out): Download Here

JEE Main 2026 April 2 Shift 1 Paper PDF Download

Candidates who sat for the JEE Mains 2 April Shift 1 question paper can download the full question paper with answers and analysis in PDF format from the table below. The link is live now:

JEE Main 2026 April 2 Shift 1 Exam Analysis

For students who appeared in the JEE Mains April 2 Shift 1 question paper, detailed subject-wise review is shared below. This review covers how hard each section was, which topics came up the most. Check the table below for updates.

• The JEE Main 2026 April 2nd morning shift exam was of overall moderate difficulty.
• The EE Main 2026 April 2nd morning shift paper was moderate compared to the January 2025 session.
• The Mathematics section was somewhat tricky and lengthy, while Physics and Chemistry were manageable. However, the Chemistry section included a notable number of questions based on Physics concepts.
• The overall paper level was moderate compared to the morning shift.
• Overall, the paper was moderate with respect to the January Shift 2026.
• Subject-wise difficulty (from highest to lowest):
  Mathematics > Physics > Chemistry
• The class 12th Question was more in the class 11th, according to the morning shift.
• A few assertion and reason-type questions were asked.

Also Read:

• JEE Main April 6 shift 1 Question Paper 2026
• JEE Main April 6 shift 2 Question Paper 2026

JEE Mains 2026 Memory-based Questions - April 2 Shift 1

This is the most useful section for students who just finished the JEE Mains 2026 2nd April Shift 1 paper. Here all the memory-based questions from the JEE 2026 April 2 Shift 1 exam that students recall, along with full solutions are provided. You can use these to match your answers, estimate your marks, and figure out which topics were given the most weight in the paper.

Physics

Question1:

The dimension of $\frac{1}{2} \varepsilon_0 E^2$ is
1) $\mathrm{MLT}^{-2}$
2) $\mathrm{MLL}^{-1} \mathrm{~T}^{-2}$
3) $\mathrm{MLT}^{-1}$
4) $M L^{-1} T^{-1}$

Question 2:

A wooden cubic block of relative density. 0.4 is floating in water. Side of cubic block is 10 cm .
When a coin is placed on the block the dips 0.3 cm in equilibrium. Weight of coin is
1) 0.2 N
2) 30 N
30.3 N
4) 3 N

Question 3:

Consider two arrangements of wires, find ratio of magnetic field at centre of the semi-circular part.

1) $\frac{\pi+3}{\pi-1}$
2) $\frac{\pi+4}{\pi+2}$
3) $\frac{\pi+2}{\pi+1}$
4) $\frac{\pi-2}{\pi+1}$

Question 4 :

$\theta=\frac{t^4}{4}-t^2$ find $\alpha$ at $t=1 \mathrm{Sec}$
Question 5:

$\vec{\gamma}=10 t^2 \hat{\imath}+5 t^2 \hat{\jmath}$
(1) $\vec{\beta}=2 \hat{\imath}+1.5 \hat{\jmath}$
(2) $\vec{F}=2 \hat{i}+3 \hat{i}$
(3) $\vec{\imath}=5 \hat{k}$
(4) $\vec{\tau}=20 \hat{k}$

Question 6:

In isobaric reversible process on a diatomic gas, ratio of $\Delta Q: \Delta U: \mathrm{W}$ shall be
1) $7: 5: 2$
2) $5: 3: 2$
3) $3: 2: 1$
4) $6: 5: 1$

Question 7:

The velocity of a particle is given as $\vec{v}=-x \hat{\imath}+2 y \hat{\jmath}-2 \hat{k} \mathrm{~m} / \mathrm{s}$. The magnitude of acceleration at point $(1,2,4)$ is $\_\_\_\_$ $\mathrm{m} / \mathrm{s}^2$ ?

Question 8:

In circular motion, angular position $\theta$ and time $t$ are related as $\theta=\frac{5 t^4}{4}-\frac{6 t^3}{3}$, then angular acceleration at $\mathrm{t}=10$ second is
1) $1180 \mathrm{rad} / \mathrm{s}^2$
2) $130 \mathrm{rad} / \mathrm{s}^2$
3) $1480 \mathrm{rad} / \mathrm{s}^2$
4) $98 \mathrm{rad} / \mathrm{s}^2$

Question 9:

The equation of a plane progressive wave is given by $y=5 \cos \pi\left(200 t-\frac{x}{150}\right)$. Where $x \& y$ are in cm and $t$ is in seconds. Find the wave velocity for the given wave function.

Question 10:

Angular momentum of the electron in a hydrogen atom is $\frac{3 h}{2 \pi}$, then find the energy of the electron in $\_\_\_\_$ ev.

Question 11:

For an ideal gas having $C_p=3 R$ and $C_v=2 R$. Find work done by one mole of the gas in adiabatic expansion when pressure reduces from 8 bar to 1 bar. (Initial temperature $=140^{\circ} \mathrm{C}$ )
1) $140 R$
2) 70 R
3) 826 R
4) $413 R$

Chemistry

Question 1:

The correct increasing order of bond length among the following is
$1 \mathrm{O}_2^{+}, \mathrm{O}_2, \mathrm{O}_2^{-}, \mathrm{O}_2^{2-}$
$2 \mathrm{O}_2^{+}, \mathrm{O}_2, \mathrm{O}_2^{2-}, \mathrm{O}_2^{-}$
$30_2^{2-}, 0_2^{-}, 0_2, 0_2^{+}$
$4 \mathrm{O}_2^{-}, \mathrm{O}_2^{2-}, \mathrm{O}_2^{+}, \mathrm{O}_2$

Question 2:

For first order reaction, rate constant at $27^{\circ} \mathrm{C}$ and $\mathrm{t}^{\circ} \mathrm{C}$ is $1.5 \times 10^3$ and $4.5 \times 10^3$ respectively. If the activation enesgy of reaction is 60 kJ then find temperature $t$.

Question 3:

Write the correct order of rate of reaction of following with $\mathrm{Ph} \mathrm{N}_2 \mathrm{Cl}$

1$ \quad $R $>$ P $>$ Q

2 $ \quad $P $>R>Q$

$3 \quad P>Q>R$

$4 \quad Q>P>R$

Question 4:

Compound of molecular formula $\mathrm{C}_5 \mathrm{H}_{10}$ can not decolorize Baeyer's reagent, how many monohalo products (Structural)are obtained by all isomers of $\mathrm{C}_5 \mathrm{H}_{10}$.

Question 5:

Which is decreasing priority order of given functional group
(A) amide > aldehyde > ketone > amine > alkyne
(B) aldehyde > amide > ketone > amine > alkyne
(C) aldehyde $>$ amide $>$ amine $>$ alkyne $>$ ketone
(D) alkyne > aldehyde > amide > amine > ketone

Question 6:

For Diatomic gas, find the ration of $\Delta Q: \Delta U: W$ for isobaric process
(A) 2:5:7
(B) $2: 3: 5$
(C) $2: 7: 3$
(D) $7: 5: 2$

Question 7:

Match List-I with List-II

1 I-A, II-B, III-C, IV-D
2 I-C, II-A, III-D, IV-B

3 I-A, II-C, III-B, IV-D
4 I-C, II-D, III-A, IV-B

Question 8:

Arrange following functional group in the increasing order of priority of functional group:

$\underset{\text { (1) }}{-\mathrm{CONH}_2},-\underset{\text { (2) }}{\mathrm{C}}=\mathrm{O},-\underset{\text { (3) }}{\mathrm{CHO}},-\mathrm{CN},-\mathrm{C} \underset{\text { (4) }}{\mathrm{C}}=\mathrm{C},--\mathrm{NH}_2$

$1 \quad 1>4>2>3>6>5$
$2\quad1>4>2>3>5>6$

$3 \quad 1>4>3>2>6>5$
$4 \quad 1>2>4>3>6>5$

Question 9:

Which compound gives apple green colour in flame test?
$1 \quad\mathrm{BaSO}_4$
$2 \quad\mathrm{Mn}_3\left(\mathrm{PO}_4\right)_2$
$3 \quad\mathrm{Ca}_3\left(\mathrm{PO}_4\right) \mathrm{A}_2$
$4 \quad \mathrm{Al}_2\left(\mathrm{SO}_4\right)_3$

Question 10:

One mole of alkane reacts with 8 mole of $\mathrm{O}_2$. The molecular formula of alkane is
$1 \quad \mathrm{C}_4 \mathrm{H}_{10}$
$2 \quad \mathrm{C}_5 \mathrm{H}_{12}$
$3 \quad \mathrm{C}_7 \mathrm{H}_{14}$
$4 \quad \mathrm{C}_3 \mathrm{H}_8$

Question 11.

Consider the electrophilic attack on given compound

1 Predominately at U position
2 Predominately at R position
3 Predominately at $\mathbf{P}$ position
4 Predominately at S position

Maths

Question 1:
If $y=f(x)$ is the solution of the differential equation $(1+\sin x) \frac{d y}{d x}+\cos x=0$, such that $f(0)=0$, then $f\left(\frac{\pi}{2}\right)$ is equal to:
1. $\ln 2$
2. $-\ln 2$
3. $\ln 3$
4. $\ln 4$

Question 2:

If eccentricity of an of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, which passes through point $(3,4)$ is $\frac{\sqrt{5}}{3}$, then length of latus rectum of ellipse is
(1) $\frac{4 \sqrt{5}}{3}$
(2) $\frac{8 \sqrt{5}}{3}$
(3) $\frac{4 \sqrt{7}}{3}$
(4) $\frac{8 \sqrt{7}}{3}$

Question 3:

How many seven-digit numbers can be formed using the digits $1,2,3,4$, and 5, such that each digit is used at least once?
(1) 16800
(2) 13200
(3) 15200
(4) 15800

Question 4:

Let $x \in[-\pi, \pi]$. Consider the set $S=\{x: \sin x(\sin x+\cos x)=a, a \in I\}$

where $I$ denotes the set of integers.
The number of elements in the set $S$ is:
(1) 5
(2) 10
(3) 9
(4) 4

Question 5:

Find the Range of $f(x)=\sin ^{-1}\left(\frac{1}{x^2-2 x+2}\right)$
(1) $\left(0, \frac{\pi}{2}\right)$
(2) $\left[0, \frac{\pi}{2}\right]$
(3) $\left(0, \frac{\pi}{2}\right]$
(4) $\left[0, \frac{\pi}{2}\right)$

Question 6:

The value of $\int_0^3 \frac{e^x+e^{-x}}{(|x|)!} d x$ equals (Here [.] denotes the greatest integer function)
$(1) \quad \frac{1}{2}\left(e^2+e^3-e^{-2}-e^{-3}\right)$
$(2)\quad e^2-e^3+e^{-2}-e^{-3}$
$(3) \quad \frac{1}{4}\left(e^2+e^3-e^{-2}-e^{-3}\right)$
$(4) \quad \frac{1}{2}\left(e^2+e-e^{-1}-e^{-2}\right)$

Question 7:

If the roots of the equation $x(x+2)+(x+1)(x+3)+\ldots+(x+(n-1))+(x+n+1)=4 n$ are $\alpha$ and $\alpha+2$. Then, the value of $|2 \alpha+n|$ is:

Question 8:

Find midpoint of sides of triangle ABC be $\left(\frac{5}{2}, 7\right),\left(\frac{5}{2}, 3\right)$ and $(4,5)$ If itsincenter is $(h, k)$ then $3 h+k$ is equal to:

Question 9:

Let $k=\sin \frac{\pi}{18} \cdot \sin \frac{5 \pi}{18} \cdot \sin \frac{7 \pi}{18} .$

Then, the value of $\sin \left(\frac{10 k \pi}{3}\right)$ is equal to:

Question 10:

$\lim _{x \rightarrow 2} \frac{\sin \left(x^3-5 x^2+a x+b\right)}{(\sqrt{x-1}-1) \log _r(x-1)}=m$, then $\mathbf{a}+\mathbf{b}+\mathbf{m}$ is equal to:

Question 11:

Let $\sum_{k=1}^n a_k=6 n^3$, then $\sum_{k=1}^6\left(\frac{a_{k+1}-a_k}{36}\right)^2$ equal to:

JEE Main April 2 Shift 1 Answer Key 2026

Students can refer to JEE Main 2026 April 2 Answer key. Using JEE Main 2026 2nd April Shift 1 answer key students can cross check their answers and estimate their expected scores.

JEE Main April 2 Paper Shift 1 Live Analysis on YouTube

As the JEE Mains April 2 paper Shift 1 successfully conducted, the Careers360 YouTube channel goes live with a team of expert teachers. They go through the full paper, talk about which questions were tricky, and give a clear picture of how hard the exam was overall. You can join the live session using the link below to get instant feedback on your performance.

JEE Main 2026 April 2 Shift 1 - Live Paper Discussion

JEE Main 2026 January Session - Shift-Wise Analysis Links

Students who want to understand the pattern of this year's exam better can go through the JEE Main January 2026 session analysis below. Since the JEE Mains 2nd April Shift 1 paper follows a similar pattern, looking at January Shifts can give you a good sense of what to expect in terms of topics and difficulty.

Previous Years' JEE Main Question Papers

Going through old papers is one of the smartest ways to prepare for JEE Main. Students searching for the JEE Mains 2026 April question paper should also look at previous year papers to understand the kind of questions that usually come up. You can find all past papers in the table below.

JEE Main 2026 Marks vs Percentile (Expected)

This table gives you a rough idea of what percentile you can expect based on your score. You can also use the JEE Main rank predictor.

JEE Main 2026 Cutoff

The cutoff is the minimum score you need to qualify for JEE Advanced. The table below shows the expected JEE Main cutoff marks for different categories based on past trends and this year's difficulty level.

JEE Main College Predictor 2026

Once you have a rough idea of your score from the JEE Mains 2026 April 2 Shift 1 question paper analysis, you can use the JEE Main College Predictor tool to find out which colleges you might be eligible for. Just put in your expected score and rank, and the tool will show you a list of colleges and courses that match your performance. It is a really helpful way to plan your next steps before counselling begins.

JEE Main Session 2 Result Date 2026

The NTA is expected to release the JEE Main 2026 Session 2 results for Paper 1 by April 20, 2026, on the official website jeemain.nta.nic.in. The April session exams are running from April 2 to April 9, 2026, and final scorecards along with All India Ranks will be available on the portal until July 31, 2026.