JEE Main 2026 April 2 Shift 2 Question Paper with Solutions PDF (Out) - Download Here

JEE Main 2026 April 2 Shift 2 Paper PDF Download

You can download the JEE Main 2nd April Shift 2 question paper from the table below. The link is active now.

JEE Main April 2 Shift 2 Exam Analysis 2026

All the details regarding analysis for JEE Mains April 2 Shift 2 question paper are updated below. This will give you an understanding of the difficulty trend of the exam and key observations.

• The JEE Main 2026 2nd April Evening shift exam was of overall Easy to Moderate difficulty.
• The JEE Main 2026 April 2nd Evening shift paper was easy compared to the January session.
• The JEE Main 2026 April 2nd Evening shift paper was almost similar wrt to the morning shift of 2nd April.
• Chemistry and Physics were easy and formula-based, but Mathematics was comparatively more challenging due to lengthy calculations compared to both Physics and Chemistry.
• Subject-wise difficulty: Math>Chem>Phy

JEE Main 2026 Memory-Based Questions April 2 Shift 2

Here memory based questions asked in JEE Mains 2026 2nd April Shift 2 paper are provided. This will help you practice in real time, as it is the first hand information you are getting directly from students who just gave their exams. If your exam is in later shifts, you can use this information to know how difficult or easy the questions will be.

Physics

Question1:

In an equilateral prism, the path of a ray is shown. Determine the refractive index.

(a) 1.71

(b) 1.52

(c) 1.39

(d) 1.84

Question 2:

What is the equivalent gate for the circuit?

(a) AND gate

(b) OR gate

(c) NAND gate

(d) NOR gate

Question 3: A soap bubble of radius $r=1 \mathrm{~mm}$, liquid of density $\rho_1=2000 \mathrm{~kg} / \mathrm{m}^3$. At the instant, the bubble is rising upward with constant velocity $v=\frac{1}{2} \mathrm{~cm} / \mathrm{s}$. Find the coefficient of viscosity $(\eta)$.
(a) $\frac{2}{9} \mathrm{~N}-\mathrm{S} / \mathrm{m}^2$
(b) $\frac{4}{9} \mathrm{~N}-\mathrm{S} / \mathrm{m}^2$
(c) $\frac{2}{3} \mathrm{~N}-\mathrm{S} / \mathrm{m}^2$
(d) $\frac{8}{9} \mathrm{~N}-\mathrm{S} / \mathrm{m}^2$

Question 4: The surface tension of a soap bubble is $0.03 \mathrm{~N} / \mathrm{m}$. The work done in increasing the diameter of the bubble from 2 cm to 6 cm is $\alpha \pi \times 10^{-4} \mathrm{~J}$. Find the value of $\alpha$.

Question 5: The surface tension of a soap bubble is $0.03 \mathrm{~N} / \mathrm{m}$. The work done in increasing the diameter of the bubble from 2 cm to 6 cm is $\alpha \pi \times 10^{-4} \mathrm{~J}$. Find the value of $\alpha$.

Question 6. Dimensions of $G$ (Universal gravitational constant) in terms of $h$ (Plank's constant), $m$ (mass) and $t$ (time) and $L$ (Length) will be
A. $h^{-1} \mathrm{Lm}^{-2} \mathrm{t}$
B. $\mathrm{hL}^{-1} \mathrm{~m}^2 \mathrm{t}$
C. $\mathrm{hLm}^{-2 \mathrm{t}^{-1}}$
D. $h^{-1} L^{-1} m^2 t^{-1}$

Question 7. Position of a particle is given by $x=a \sin (50 t+\pi / 3)$. If speed and acceleration for the first time at time $t_1 \& t$, respectively. Then $t_1 \& t_2$ are
A. $\frac{\pi}{150}, \frac{\pi}{300}$
B. $\frac{\pi}{300}, \frac{\pi}{75}$
C. $\frac{\pi}{50}, \frac{\pi}{150}$
D. $\frac{\pi}{300}, \frac{\pi}{150}$

Question 8. Determine the minimum $\mu$ so that block do not slip with respect to wall of cylinder

Chemistry

Question 1: Arrange following complexes in increasing order of CFSE ( $\Delta 0$ )
(a) $\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}$
(b) $\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}$
(c) $\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}$
$1 \quad c>a>b$
$2 \quad c>b>a$
$3\quad a>b>c$
$4 \quad b>a>c$

Question 2:

Question 3:

Consider the reaction given below :

A gives positive Fehling's test. Choose the correct relation.

1) Molar weight of $A$ and molar weight of $B$ are same

2) Molar weight of $A$ is greater than molar weight of $B$

3) Molar weight of $B$ is greater than molar weight of $A$

4) ) None of these

Question 4:

The surface tension of a soap bubble is 0.03N/m. The work done in increasing the diameter of the bubble from 2 cm to 6 cm is $\alpha \pi \times 10^{-4} \mathrm{~J}$. Find the value of $\alpha$.

Question 5:

Aromatic compound find out the A & E

Question 6: Molarity of $\mathrm{H}_2 \mathrm{SO}_4$ solution is 4.9 M . If density of solution is $1.40 \mathrm{~g} / \mathrm{ml}$, then molality and mole fraction of solute In solution is
$1 \mathrm{~m}=5.34, \chi_{\text {solute }}=0.088$
$2 \mathrm{~m}=5.34, \chi_{\text {solute }}=0.072$
$3 \mathrm{~m}=5.21, x_{\text {solute }}=0.088$
$4 \mathrm{~m}=5.21, \chi_{\text {solute }}=0.072$

Question 7: The correct set that contains all kinds (basic, acidic, amphoteric and neutral) in Oxides is
a) $\mathrm{Na}_2 \mathrm{O}, \mathrm{N}_2 \mathrm{O}, \mathrm{Al}_2 \mathrm{O}_3$ and CO
b) $\mathrm{Al}_2 \mathrm{O}_3, \mathrm{As}_2 \mathrm{O}_3, \mathrm{CO}$ and NO
c) $\mathrm{K}_2 \mathrm{O} \mathrm{Cl}_2 \mathrm{O}_7, \mathrm{As}_2 \mathrm{O}_3$ and NO
d) $\mathrm{Na}_2 \mathrm{O}, \mathrm{K}_2 \mathrm{O}, \mathrm{Al}_2 \mathrm{O}_3$ and $\mathrm{AS}_2 \mathrm{O}_3$

Question 8:

Mathematics

Question 1:

The value of the sum $\sum_{n=1}^8 \frac{1^3+2^3+\ldots+\text { upto } n \text { terms }}{1+3+5+\ldots \text { upto } n \text { terms }}$ is:

Question 2:

$f(x)$ is 5 degree polynomial has extremes at $x= \pm 1$ and $\lim _{x \rightarrow 0} \frac{f(x)}{x^3}=5$, then $f(2)-f(-2)$ is:

Question 3:

Consider the number $N=21 P Q 5304$, where $P$ and $Q$ are digits.
The number of ordered pairs ( $P, Q$ ) such that $N$ is divisible by 9 is:
Options:
(1) 11
(2) 12
(3) 10
(4) 8

Question 4:

If

${ }^{30} C_{30-r}+3{ }^{30} C_{31-r}+3{ }^{30} C_{32-r}+{ }^{30} C_{33-r}={ }^n C_r,$

Then the value of $n$ is:

Question 5:

Evaluate the sum

$\frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+\cdots$ up to 8 terms.

(1) 71
(2) 70
(3) 73
(4) 72

Question 6:

Evaluate the integral

$
\int_0^{20 \pi}\left(\sin ^4 x+\cos ^4 x\right) d x
$

(1) $15 \pi$
(2) $\frac{15 \pi}{2}$
(3) $25 \pi$
(4) $\frac{25 \pi}{2}$

Question 7:

A regular polygon with $n$ sides is given. $P_n$ denotes no. of triangles formed by joining any three points of given regular polygon. If $\mathrm{P}_{\mathrm{n}+1}-\mathrm{P}_{\mathrm{n}}=66$, then the sum of all srime divisors of n is
(1) 9
(2) 5
(3) 11
(4) 23

Question 8:

On tossing a coin, 10 points are obtained if a head appears, 5 points are obtained if a tail appears. Find the probability of obtaining $\mathbf{3 0}$ points.
(1) $\frac{43}{64}$
(2) $\frac{44}{63}$
(3) $\frac{41}{68}$
(4) $\frac{40}{71}$

JEE Mains April 2 shift 2 Live Analysis on YouTube

The JEE Main 2026 April 2 Shift 2 paper analysis was streamed live on the Careers360 YouTube channel. You can watch the live analysis using the link provided below.

JEE Main 2026 April 2 Shift 2: Live Paper Discussion

JEE Main 2026 April 2 Shift 2 Answer Key

The JEE Main 2026 April 2 Shift 2 answer key and details solution will be added here soon. If you have given this shift, you will be able to see the correct answer using JEE Main 2026 2nd April Shift 2 answer key and estimate your marks accordingly.

JEE Main 2026 January Session Shift-Wise Analysis

The April session difficulty will be in a similar pattern to the January session. Therefore, you can use the day wise papers to prepare for April session. This can help you find how easy or difficult the JEE Mains 2nd April Shift 2 paper was from previous shifts.

Previous Years' JEE Main Question Papers

Previous years' question papers practice is a must. You can use the links below to download and practise the questions with solutions.

JEE Main 2026 April 2 Shift 2 Difficulty Level

Based on JEE Mains 2026 January Session analysis and jee main today morning shift the overall difficulty level of the paper is expected to be moderate:

JEE Main 2026 Marks vs Percentile (Expected)

You can find the expected marks vs percentile score for JEE Mains 2026 April session below:

JEE Main 2026 Expected Cutoff

As per previous trends, this table will give you an idea of what to assume the respective JEE Main cut-off will be for each category.

JEE Main 2026 Rank Predictor

Using the JEE Main rank predictor you can predict your rank after the April session is over. This will help you set clear agenda and make an estimation about where you stand in this competition. Accordingly you can also use the JEE Main College Predictor tool to find out which colleges you might be eligible with using your rank/estimated marks.

JEE Main 2026 Session 2 Result Date

20 April, 2026 is the result date as mentioned by NTA for the April session JEE Main 2026. After this session is over, you can apply for admission in colleges considering your best rank and prepare for your future journey accordingly. All the best!