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    JEE Mains 2026 April 4 Shift 2 Question Paper With Solution PDF (Out): Download Here

    JEE Mains 2026 April 4 Shift 2 Question Paper With Solution PDF (Out): Download Here

    Shivani PooniaUpdated on 06 Apr 2026, 12:33 AM IST

    JEE Mains 2026 4th April Shift 2 Question Paper PDF: The JEE Main April 4 Shift 2 paper was conducted successfully from 3:00 PM to 6:00 PM. The JEE Main 2026 April 4 Shift 2 question paper with solutions is available now. Students can download the memory-based questions of the JEE Mains 2026 April 4 Shift 2 exam 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. For today's shift, check JEE Main 2026 April 5 Shift 1 Paper for the morning, which has started and JEE Mains 2026 April 5 Shift 2 Paper for the evening shift

    Live | Apr 6, 2026 | 1:00 AM IST

    This Story also Contains

    1. JEE Main 2026 April 4 Shift 2 Paper PDF Download
    2. JEE Main April 4 Shift 2 Exam Analysis 2026
    3. JEE Main 2026 April 4 Shift 2 Question Paper with Solutions
    4. JEE Main 2026 April 4 Shift 2 Answer Key
    5. JEE Mains April 4 Shift 2 Question Paper Live Analysis on YouTube
    6. How to Download JEE Mains 2026 April 4 Shift 2 Question Paper Free PDF
    7. Steps to Calculate Marks Using JEE Main 2026 April 4 Shift 2 Question Paper with Answer Key PDF
    8. What is the JEE Main 2026 marking scheme?
    9. JEE Mains Previous Years Question Paper
    10. JEE Main 2026 January Session Exam Analysis
    11. JEE Main 2026 January Session Question Papers
    12. JEE Main 2026 Marks vs Percentile (Expected)
    13. JEE Main 2026 April 4 Shift 1 Expected Cutoff
    14. JEE Main College Predictor
    15. JEE Main Rank Predictor
    16. JEE Main 2026 Session 2 Result Date
    JEE Mains 2026 April 4 Shift 2 Question Paper With Solution PDF (Out): Download Here
    JEE Main 2026 April 4 Shift 2 Question Paper With Solution PDF

    JEE Main 2026 April 4 Shift 2 Paper PDF Download

    Students can download the JEE Mains 4 April Shift 2 question paper PDF from the link given below:

    JEE Main April 4 Shift 2 Exam Analysis 2026

    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.

    JEE Main 2026 April 4 Shift 2 Question Paper with Solutions

    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:

    JEE Mains April 4 Shift 2 Questions Chemistry

    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
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    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:

    $(1)2 \sqrt{2}$

    $(2)3$

    $(3)9$

    $(4)10$

    JEE Mains April 4 Shift 2 Questions Physics

    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. $\frac{7}{\pi}$

    JEE Main 2026 April 4 Shift 2 Answer Key

    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.

    JEE Main Syllabus: Subjects & Chapters
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    JEE Mains April 4 Shift 2 Question Paper Live Analysis on YouTube

    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.

    How to Download JEE Mains 2026 April 4 Shift 2 Question Paper Free PDF

    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

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    Steps to Calculate Marks Using JEE Main 2026 April 4 Shift 2 Question Paper with Answer Key PDF

    Students can follow the steps given below to calculate JEE Mains 4 April Shift 2 Marks using the question paper answer key.

    • Match your answers with the JEE Mains April 4 Shift 2 answer key carefully.
    • Count the total number of correct answers
    • Count the total number of incorrect answers
    • Apply the JEE Main 2026 marking scheme to calculate your marks

    What is the JEE Main 2026 marking scheme?

    The marking scheme for JEE Main 4th April Shift 2 2026 follows the standard pattern prescribed by NTA.

    • Marks for each correct answer: +4 marks
    • Marks for each incorrect answer: -1
    • Marks for each unattempted question: 0
    • Integer questions have no negative marking

    Download JEE Mains 2026 April 2 Shift 1, 2 Question Paper with Answer Key PDF

    JEE Mains Previous Years Question Paper

    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 Main 2026 January Session Exam Analysis

    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.

    JEE Main 2026 Marks vs Percentile (Expected)

    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

    JEE Main 2026 April 4 Shift 1 Expected Cutoff

    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

    JEE Main College Predictor

    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.

    JEE Main Rank Predictor

    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.

    JEE Main 2026 Session 2 Result Date

    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)

    Q: How many questions are needed to attempt to score in the 95+ percentile in JEE Mains April 4 Shift 2 Exam?
    A:

    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.

    Q: What was the difficulty level for JEE Main 2026 April 4 Shift 2 paper?
    A:

    The JEE Mains 2026 April 4 Shift 2 exam difficulty level was moderate

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    Careers360's Experts will provide the the JEE Mains 2 April shift 1 question paper 2026 with solutions and answer key immediately after the exam. Refer to below link

    https://engineering.careers360.com/articles/jee-mains-2026-april-2-shift-1-paper-with-solutions-pdf

    You can start your preparation right away! Go through the JEE Main syllabus, practice PYQs, do Mock Test, revise Class 12 syllabus, etc. You can also check the complete JEE Main preparation tips here: https://engineering.careers360.com/articles/jee-main-preparation-tips

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    JEE Mains 2027 Syllabus has not been released yet.
    You can refer to the link below to get the latest update on JEE Mains
    https://engineering.careers360.com/exams/jee-main

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