JEE Main 2026 January 28 Shift 2 Question Paper with Solutions PDF OUT - Download Here

JEE Main 28 Jan Shift 2 Question Paper 2026 with Answer Key PDF

The JEE Main 2026 28 January shift 2 and Solutions PDF that will be memory-based is available now. Along with this, the official JEE Main 2026 question paper and answer key have also been released. The JEE Main 2026 answer key for all questions for Physics, Chemistry, and Maths will be shared here. Students can analyze the exam difficulty using the JEE Mains 2026 question paper.

JEE Main 2026 January 28 Shift 2 Question Paper With Solutions

The entire question paper with detailed, step-by-step solutions for Physics, Chemistry, and Mathematics is now released. These explanations will help candidates in evaluating their approach to every problem, understanding common mistakes, and improving their strategies for upcoming shifts or future JEE Main attempts.

JEE Mains 2026 Jan 28 Shift 2 Maths Questions

Question 1: The sum of coefficients of $x^{499}$ and $x^{500}$ in the binomial expansion of $(1+x)^{1000}+(1+x)^{999}(x)+x^2(1+x)^{998}+\ldots+x^{1000}$ is

1. ${ }^{1002} C_{501}$
2. ${ }^{1002} C_{500}$
3. ${ }^{1001} C_{500}$
4. ${ }^{1001} C_{501}$

Question 2: If $\sum_{r=1}^{25} \frac{r}{r^4+r^2+1}=\frac{p}{q}$, where $p$ and $q$ are coprime positive integer, then $p+q$ is equal to:

1. 841
2. 976
3. 984
4. 890

Question 3: $\frac{6}{3^{26}}+\frac{10}{3^{25}}+\frac{10.2}{3^{24}}+\frac{10.2^2}{3^{23}}+\ldots+\frac{10.2^{24}}{3}$ is equal to

1. $2^{26}$
2. $2^{25}$
3. $3^{26}$
4. $3^{25}$

Question 4: The value of $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{12(3+[x])}{3+[\sin x]+[\cos x]} d x$ is equal to

1. $3+10 \pi$
2. $11 \pi+4$
3. $10 \pi+2$
4. $11 \pi+2$

JEE Mains 2026 Jan 28 Shift 2 Physics Questions

Question 1. Which of the following can not be measured?

1. Resistance

2. Potential

3. Potential difference

4. Displacement current.

Question 2: Object is placed at distance 30 cm from lens given below, then distance of image from lens is

$
\left(R_1=10 \mathrm{~cm}, R_2=20 \mathrm{~cm}\right)
$

1. 36 cm
2. 24 cm
3. 20 cm
4. 30 cm

Question 3: A block of mass $m$ is placed on a smooth inclined plane making an angle $\theta$ with the horizontal. The inclined plane itself is accelerating horizontally with constant acceleration $\mathbf{A}_o$. Find the time taken by the block to reach the bottom of the incline (length = L).

1. $\sqrt{\frac{2 \ell}{A_o \cos \theta+g \sin \theta}}$
2. $\sqrt{\frac{2 \ell}{\left(\mathrm{~A}_o+g\right) \sin \theta}}$
3. $\sqrt{\frac{2 \ell}{A_o \sin \theta+g \cos \theta}}$
4. $\sqrt{\frac{2 \ell}{g \sin \theta}}$

JEE Mains 2026 Jan 28 Shift 2 Chemistry Questions

Question 1: The plot of $\log _{10} \mathrm{~K}$ vs $\frac{1}{T}$ gives a straight line. The intercept and slope respectively are

$\begin{array}{ll}1 & \mathrm{c}=\log \mathrm{A}, \mathrm{m}=-\frac{E_a}{2.303 R} \\ 2 & \mathrm{c}=-\frac{E_a}{2.303 R^{\prime}}, \mathrm{m}=\log \mathrm{A} \\ 3 & \mathrm{c}=-\log \mathrm{A}, \mathrm{m}=-\frac{E_a}{2.303 R} \\ 4 & \mathrm{c}=\log \mathrm{A}, \mathrm{m}=\frac{E_a}{2.303 R}\end{array}$

Question 2: Which of the following order is correct.

1. $\mathrm{HF}>\mathrm{HI}>\mathrm{HBr}>\mathrm{HCl}$ (Boiling point)
2. $\mathrm{HF}>\mathrm{HI}>\mathrm{HBr}>\mathrm{HCl}$ (Melting point)
3. $\mathrm{HI}>\mathrm{HF}>\mathrm{HBr}>\mathrm{HCl}$ (Boiling point)
4. $\mathrm{HI}>\mathrm{HBr}>\mathrm{HF}>\mathrm{HCl}$ (Melting point)
Question 3: Consider a reaction $\mathrm{A} \rightleftharpoons \mathrm{B} \cdot \mathrm{At}^{\prime} \mathrm{T}^{\prime} \mathrm{K}$, the equilibrium concentration of A and B are 0.3 M and 0.315 M . Now, 0.1 mol of A is added to the flask of 1 L , then equilibrium constant and equilibrium concentration of B are

1. $1.05,0.35 \mathrm{M}$

2. $0.95,0.37 \mathrm{M}$

3. $1.05,0.37 \mathrm{M}$

4. $0.95,0.35 \mathrm{M}

JEE Main 28 Jan Shift 2 Paper Analysis 2026

Shift 2 was concept-driven but scoring, with Physics being formula-based, Chemistry theory-focused (more inorganic), and Maths lengthy yet manageable. You can find subject wise detailed analysis given below:

How to Calculate Scores With JEE Main 28 Jan Shift 2 Answer Key?

Candidates can know how to calculate marks for JEE Main 2026 using certain steps. For that they need to know the JEE Mains 2026 marking scheme.

They can estimate your JEE Main marks by using the formula given below.

JEE Main Marks = (Correct MCQ answers × 4) − (Wrong MCQ answers × 1) + (Correct Numerical answers × 4)

Note: There is no negative marking for incorrect numerical-type questions.

JEE Main Marking Scheme 2026

Know the marking scheme and use that to calculate the JEE Main Jan 28 shift 2 marks.

JEE Main 2026 Jan 28 Shift 2 Live Paper Analysis

Careers360 provides JEE Main live exam analysis for January 28 shift 2 covering the overall overview of JEE Main. Exam analysis which covers the difficulty level, paper pattern and other areas of JEE Mains 2026 question paper is discussed by expert faculty members and the live session link below.

JEE Main 28 Jan Shift 1 vs Shift 2 2026: Overall Analysis

This section presents a detailed comparison of the JEE Mains 2026 question paper, Jan 28 shift 1 and Shift 2 question papers. It highlights the breakdown of the topic, wise difficulty, points out the relatively easier shift, and gives a general analysis of both papers. Below table includes analysis of both shifts - morning and evening. It can help you get an in detailed comparison between both shift 1 and shift 2. Check the table below for more such details:

JEE Main 2026 January 28 All Shifts Question Paper

You can check the shift-wise JEE Main question paper of the 2026 Jan session below:

JEE Mains 2026 January Session Analysis Comparison

Below is a detailed analysis of all the other shifts, based on students’ feedback, expert opinions, and an overall understanding of the JEE Main 2026 session.

JEE Mains January 2026 Session Toughest Shift

It is difficult to decide the toughest shift until all the January session exams are over. However, the data below gives an idea about the difficulty level of each shift.

JEE Mains 2026 Result Date

JEE Main 2026 will be conducted in two sessions, January and April, and each session will have a separate result date.

January Session (Session 1):

• JEE Main 2026 Session 1 Exam Dates (B.Tech and B.Arch): January 21, 22, 23, 24, and 28,29 2026

• JEE Main 2026 Session 1 Result Date: By February 12, 2026

April Session (Session 2):

• Exam Dates (B.Tech & B.Arch): April 2 to April 9, 2026

• Session 2 Result Date: By April 20, 2026

JEE Main Rank Predictor 2026

You can use the JEE Main 2026 Rank Predictor to check your expected rank quickly. You can check by clicking on the link below. Candidates need to provide their expected percentile or marks. The toll will show the resulting rank that can be achieved based on the data provided. Note that the JEE Main rank predictor tool is for tentative information only.

JEE Main Previous Year Question Paper PDF

Analyzing the previous year question papers of JEE Main always helps in understanding the exam paper in detail. We have given the links below:

JEE Main 2026 January Session Shifts Timings

Knowing the exact shift timings is important to plan your arrival, complete entry formalities, and start the exam without stress. Here’s a quick guide to the shift-wise schedule: