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JEE Mains 2026 4th April Shift 2 Question Paper PDF: The JEE Main 2026 April 4 Shift 2 official question paper is available now. Students can download the JEE Mains 2026 April 4 Shift 2 paper from the link given below. Along with the JEE Main April 4 Shift 2 question paper free PDF, a detailed analysis including overall difficulty level, the type of questions asked, and important topics is also provided. Students can use these JEE Mains 2026 April 4 Shift 2 memory-based questions and solutions to compare their performance and estimate their marks. You can also download the free PDF of the JEE Main 2026 April 4 shift 1 Question Paper along with the Answer Key. Check JEE Main 2026 April 5 Shift 1 Paper for the morning, and JEE Mains 2026 April 5 Shift 2 Paper for the evening shift
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JEE Mains 2026 4th April Shift 2 Question Paper Live Updates
The JEE Mains 4 April shift 2 question paper was balanced with moderate difficulty
For the coming JEE 2026 shift papers students should focus on revising formulas and NCERT concepts.
Given below are the PCM topics that are asked in the JEE April 4 Shift 2 Exam:
Physics: Units and dimensions, Kinematics, Newton's laws of motion, Work done, and Rotational motion.
Chemistry: Chemistry kinetics, Redox reaction, Mole concept, Coordination compounds and Thermodynamics
Mathematics: Functions, Coordinate Geometry, Vector & 3D Geometry, Matrices & Determinants, Sequence & Series, Quadratic Equations.
The JEE Mains April 4 Shift 2 paper Chemistry section was of moderate difficulty, slightly easier than Physics and Mathematics, and comparable to recent JEE Main sessions. Physical Chemistry is slightly tougher than Organic and Inorganic.
Based on the feedback of students and experts' analysis, some of the most asked chemistry topics from 4 April Shift 2 JEE Mains 2026 paper are:
Chemical Bonding and Molecular Structure, Coordination Compounds, P-Block Elements, Mole Concepts, General Organic Chemistry, and Equilibrium.
The 4 April Shift 2 JEE Mains 2026 Physics paper was of moderate difficulty, mainly based on formulas and concepts. Chemistry was the easiest section, mostly based on direct questions. Mathematics was lengthy, with moderate to tough questions.
Students can download the JEE Mains 4 April Shift 2 question paper PDF from the link given below:
Get expert advice on college selection, admission chances, and career path in a personalized counselling session.
Students can refer to the table given below for a detailed analysis of the JEE Main 2026 April 4 Shift 2 question paper, which will help them to understand the JEE 2026 paper pattern and the expected difficulty level of the coming shifts and attempts.
|
Subject |
Difficulty Level |
Key Observations |
|
Overall |
Easy to Moderate |
The JEE Main 2026 4th April Shift 2 was of overall easy to moderate difficulty and was considered the easiest among all the shifts conducted in the JEE 2026 April session. |
|
Physics |
Easy to Moderate |
Physics JEE Main 4th April evening shift paper was easy compared to maths and chemistry. The JEE Mains 4th April evening shift was similar to the 2nd April 2026 shift and easier compared to the January 2026 shift. |
|
Chemistry |
Easy to Moderate |
The chemistry section was easier than physics and maths. The Chemistry section of this JEE Mains April 4 shift 2 was easy compared to the 4th April morning shift. |
|
Maths |
Moderate |
The JEE Mains 4 April Shift 2 Mathematics section was relatively easier compared to the Physics and Chemistry sections. This April 4 Shift 2 section, Mathematics section, was easier than the Shift 1 of JEE Mains 2026. |
The memory-based questions from JEE Main April 4 Shift 2 Paper are provided below. This is the most useful section for students who are appearing for the coming JEE Mains 2026 April Shifts. Questions with detailed solutions are provided below:
Question 1:
Match the column
| column I Tollen reagent Fehling solution Williamson's Synthesis Bayer's reagents | Column-II (a) $\mathrm{Cu}^{2+} / \mathrm{OH}^{-}$ (b) $\mathrm{Ag}\left(\mathrm{NH}_3\right)_2 \mathrm{OH}$ (c) $\mathrm{R}-\mathrm{X}+\mathrm{R} \mathrm{O}^{-} \mathrm{Na}^{+}$ (d) dil $\mathrm{KMnO}_4$ |
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(A) I-b, II-a, III-c, IV-d
(B) I-a, II-b, III-c, IV-d
(C) I-b, II-a, III-d, IV-c
(D) I-c, II-a, III-b, IV-d
Question 2:
Manganese forms oxide and fluoride with the highest oxidation state. The difference in the highest oxidation state of Mn in the oxide and fluoride is
$1) \quad 1$
$2) \quad 2$
$3)\quad 3$
$4) \quad 4$
Question 3:

Compare the bond length of $c=0$ ?
1) $b>a>c$
3) $a>b>c$
2) $b>c>a$
4) $c>a>b$
Question 4: Two atoms are bonding along the Z-axis. How will $\pi^*$ orbital look like : ( $Z$ is inter nuclear axis)

Question 5:
| column I a) $\mathrm{Ph}-\mathrm{NH}_2$ 4) $\mathrm{Pn}-\mathrm{CHO}$ c)Ph OH d) prop-2-ol | Column-II p) Hinsberg reagent 1) Tollen's regent r) Lucas regent s) Pthallen dye test |
Question 6: Which of the following will have the most stable conjugate acid?

JEE Mains April 4 Shift 2 Questions Maths
Question 1:
If the system of equations
$
\begin{aligned}
& x+y+z=5 \\
& x+2 y+3 z=9 \\
& x+3 y+\lambda z=\mu \text { has infinite number of solutions. Then, the value of } \lambda+\mu \text { is }
\end{aligned}
$
(1) 18
(2) 23
(3) 21
(4) 22
Question 2:
The number of non-negative integer solutions of the equation $a+b+2 c=22$, is
(1) 124
(2) 144
(3) 135
(4) 136
Question 3:
Evaluate $(0.2)^{\log _{\sqrt{5}}^\alpha}+(0.04)^{\log _5^\beta}$
if $\alpha=\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots$
$
\beta=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\ldots
$
(1) 4
(2) 8
(3) 12
(4) 10
Question 4:
Let $S=\left\{z \in C: z^2+4 z+16=0\right.$. Then $\sum_{z \in S}|z+\sqrt{3} i|^2$ is equal to:
(1) 38
(2) 23
(3) 42
(4) 27
Question 5:
If expansion of $\left(9 x-\frac{1}{3 \sqrt{x}}\right)^{18}$, if the coefficient of term independent of $x$ is $221 k$, then the value of $k$ is
(1) 82
(2) 83
(3) 84
(4) 86
Question 6:
If the quadratic expression $(\lambda+2) x^2-3 \lambda x+4 \lambda=0, \lambda \neq-2$ has two positive roots, then the number of possible integral values of $\lambda$ is
(1) 2
(2) 4
(3) 1
(4) 3
Question 7:
If $\sqrt{3 }i, 1$ are the roots of $x^3+a x^2+b x+c=0 \quad a, b, c \in R$. Then $\int_{-1}^1\left(x^3+a x^2+b x+c\right) d x$ is
$(1) \frac{20}{3}$
$(2) \frac{10}{3}$
$(3)-\frac{20}{3}$
$(4) -\frac{10}{3}$
Question 8:
$\int_1^1 \cot ^{-1}\left(1+x+x^2\right) d x$ is equal to
$(1)2 \tan ^{-1} 2-\frac{1}{2} \ln 5$
$(2)2 \tan ^{-1} 2+\frac{1}{2} \ln 5$
$(3) \frac{1}{2} \tan ^{-1} 2-\frac{1}{5} \ln 2$
$(4) \frac{1}{2} \tan ^{-1} 2+\frac{1}{5} \ln 2$
Question 9:
Let $x_1, x_2, x_3, \ldots, x_{10}$ be 10 observations such that $\sum_{i=1}^{10}\left(x_i-1\right)^2=90$ and $\sum_{i=1}^{10}\left(x_i+2\right)^2=180$. Then, the standard deviation of $x_1, x_2, x_3, \ldots, x_{10}$ is:
$(1)2 \sqrt{2}$
$(2)3$
$(3)9$
$(4)10$
Question 1:
Two strings with length ( $l_1, l_2$ ), Young's moduli ( $Y_1, Y_2$ ) are elongated under two weights as shown. Find $\Delta l_1 / \Delta l_2$.
a. 3
b. $2 / 3$
c. $4 / 3$
d. $1 / 3$

Question 2:
Consider a ring of radius $R$, rotates about a horizontal axis as shown. Time period of small oscillate
a. $2 \pi \sqrt{\frac{5 R}{g}}$
b. $2 \pi \sqrt{\frac{R}{2 g}}$
c. $2 \pi \sqrt{\frac{3 R}{2 g}}$
d. $2 \pi \sqrt{\frac{R}{g}}$
Question 3:
Two cars, A \& B, are moving on a road with speeds $100 \mathrm{~km} / \mathrm{h}$ and $80 \mathrm{~km} / \mathrm{h}$. A stone is thrown from Car B with speed $\mathrm{V} \mathrm{km} / \mathrm{h}$ relative to it. Stone hit the Car $A$ with speed $5 \mathrm{~m} / \mathrm{s}$ w.r.t Car $A$. (ignore gravity.). The $V$ is $\_\_\_\_$ .
a. 18
b. 38
c. 48
d. 20
Question 4:
List-I presents some physical quantity and list-II presents the dimensions. Match the two list appropriately.

a. $\mathrm{A} \rightarrow(3) ; \mathrm{B} \rightarrow(4) ; \mathrm{C} \rightarrow(2) ; \mathrm{D} \rightarrow(1)$
b. $\mathrm{A} \rightarrow(3) ; \mathrm{B} \rightarrow(1) ; \mathrm{C} \rightarrow(4) ; \mathrm{D} \rightarrow(2)$
c. $\mathrm{A} \rightarrow(2) ; \mathrm{B} \rightarrow(3) ; \mathrm{C} \rightarrow(4) ; \mathrm{D} \rightarrow(1)$
d. $\mathrm{A} \rightarrow(4) ; \mathrm{B} \rightarrow(3) ; \mathrm{C} \rightarrow(1) ; \mathrm{D} \rightarrow(2)$
Question 5:
For a biconvex lens, the focal length is $f$, and both radii of curvature are $R$. Find the value of f/R
a. 1.25
b. 1.5
c. 2
d. 2.5
Question 6:
Point $P$ at $r=10 \mathrm{~cm}$ distance from the centres of two bar magnets, each of magnetic moment $3 \sqrt{5} \mathrm{Am}$. Magnetic field at $P$ is
a. 1.5 mT
b. 2 mT
c. 2.5 mT
d. 4.5 mT

Question 7:
A solenoid has a core made of relative permeability 400 . The magnetic field produced in the interior of the solenoid is 1.0 T . The magnetizing intensity in SI units is $\alpha \times 10^5$. The value of $\alpha$ is $-\left(\mu_0=4 \pi \times 10^{-7}\right)$
a. $\frac{5}{\pi}$
b. $\frac{1}{4 \pi}$
c. $\frac{1}{16 \pi}$
d. $\frac{7}{\pi}$
Students can refer to the unofficial JEE Mains 4th April 2026 Shift 2 Answer key to verify their answers and estimate their expected marks. The JEE Mains 2026 April 4 Shift 2 Answer Key will be available soon.
Careers360 YouTube channel goes live with a team of expert teachers for JEE Mains 2026 April 4 Shift 2 Paper analysis. Refer to the Careers360 YouTube channel for live updates and analysis on the JEE Mains 2026 question paper.
Students can refer to the steps given below to download JEE Mains April 4 Shift 2 question papers with solutions.
Click on the JEE Main April 4 shift 2 question paper link provided in the table in the above section.
You will be redirected to the Careers360 portal.
Log in using your registered email ID and password.
New users must complete the registration process first.
After that, you will have to click on the download option of JEE Mains April 4 Shift 2 paper 2026
The JEE Main question paper PDF along with the answer key will be sent to your registered email address. You can then check your email ID and view the downloaded JEE Main 2026 April 4 shift 2 question paper with solutions PDF
Students can follow the steps given below to calculate JEE Mains 4 April Shift 2 Marks using the question paper answer key.
The marking scheme for JEE Main 4th April Shift 2 2026 follows the standard pattern prescribed by NTA.
Along with the JEE April 4 shift 2 question paper, students can also refer to the Previous year JEE Main question papers that help them understand the exam pattern and important topics. Refer to the table below to get JEE Mains question papers:
JEE Mains 2026 Exam Analysis helps students understand the difficulty level of the exam, types of questions asked and most expected topics that can be asked in JEE Mains 4th April Shift 2 Question Paper 2026. Students can check the day-wise JEE Main 2026 January sessions analysis from the table given below.
The JEE Main 2026 question papers help students understand the exam pattern, difficulty level, and identify important topics that can be asked in the 4th April JEE Mains Shift 2 Exam. Given below the links to download JEE Mains 2026 Session 1 Question Papers:
This table gives you a rough idea of what percentile you can expect based on your JEE Mains 4 April Shift 2 Scores.
|
Percentile |
Expected marks for tough shift |
Expected marks for easy shift |
|
99.9+ |
225+ |
250+ |
|
99.5+ |
195 - 205 |
220 - 230 |
|
99.0+ |
160 - 175 |
190 - 205 |
|
98.0+ |
145 - 155 |
170 - 185 |
|
97.0+ |
130 - 140 |
155 - 165 |
|
95.0+ |
105 - 115 |
130 - 140 |
|
90.0+ |
80 - 90 |
105 - 115 |
|
85.0+ |
70 - 75 |
85 - 95 |
According to JEE Mains 2026 April shift trends, the cutoff is expected to follow the same pattern. Refer to the table given below to get a rough idea about JEE Main 2026 April session Expected Cutoff:
|
Category |
Expected Cutoff |
|
General (UR) |
93 - 95 |
|
OBC-NCL |
80 - 82 |
|
EWS |
80 - 82 |
|
SC |
60 - 62 |
|
ST |
47 - 49 |
Students were very curious whether they were going to get admission into their dream college or not after attempting JEE Mains 2026 Exam. To solve this problem refer to the JEE Main College Predictor tool which helps you to estimate which IIT, NIT or other engineering colleges you are going to get based on your JEE Main 2026 April 4 Shift 2 Paper scores.
Students can use the JEE Main rank predictor to estimate their all india rank before the release of actual JEE Mains April 4 Shift 2 Result. Using this JEE Main rank predictor students can get an idea about their score and decide on college and stream they are going to get admission.
The JEE Main 2026 April 4 Shift 2 result is expected to be released by NTA by 20 April, along with session 2 result your All India Rank and Cutoff for JEE Advance will also be released by NTA on their official website, jeemain.nta.nic.in.
Frequently Asked Questions (FAQs)
It depends on the difficulty level of the 4 April Shift 2 JEE Mains question paper; a more accurate attempt can be provided after the completion of the exam. But generally, attempting 50-60+ questions accurately will provide you with high chances.
The JEE Mains 2026 April 4 Shift 2 exam difficulty level was moderate
On Question asked by student community
A rank of 67,595 in JEE mains 2026 may not be enough for CSE or CCE brank at LNMIIT Jaipur. But you are advised to go for branches like Mechanical Engineering.
You can check the JEE Main cutoff to get an idea about it. You can also check the admission chances for B.Tech CSE if you score 66 percentile in JEE Main by clicking on the link below and entering the necessary information.
Hello,
With JEE Mains final rank of 75018 and 95.22 percentile, the MP home state rank will be likely around 8000-12000 depending on the number of candidates appeared in the entrance exam from the MP state.
Thanks,
With around 348000 rank, you can get admission to low tier NITs, state-level colleges, or private colleges. You can find some of the list of colleges below:
NITs:
State-level colleges:
Hello Student,
Please find the rank predictor tool in the following link.
Link - JEE Main Rank Predictor 2026
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