JEE Mains 2025 January 24 Shift 2 Question Paper with Solutions Released - PDF Link

JEE Main 2025 January 24 Shift 2 Examination Pattern and Structure

JEE Main 2025 January 24 Shift 2 Memory Based Questions

Q.1 If $7=5+\frac{1}{7}(5+\alpha)+\frac{1}{7^2}(5+2 \alpha)+\ldots \infty$ terms, then $\alpha$ is equal to

1 6
$2 \quad 6 / 7$
3 1/7
$4 \quad 1$

Q.2 A solid sphere and hollow sphere rolls down purely equal distances on same inclined plane (starting from rest) in time $t_1$ and $t_2$ then
$1 \quad t_1>t_2$
$2 \quad t_1<t_2$
$3 \quad t_1=2 t_2$
$4 \quad t_1=t_2$

Q.3

Consider the following reaction

$
\begin{aligned}
& \mathrm{S}(\mathrm{~s})+\frac{3}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{SO}_3(\mathrm{~g})+2 \mathrm{x} \mathrm{KJ} \\
& \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{SO}_3(\mathrm{~g})+\mathrm{y} \mathrm{KJ}
\end{aligned}
$

Calculate $\Delta \mathrm{H}_{\mathrm{r}}$ for following reaction (K)

$\mathrm{S}(\mathrm{s})+\mathrm{O}_2 \rightarrow \mathrm{SO}_2(\mathrm{~g})$

Q.4 If $A$ and $B$ are binomial coefficients of $30^{\text {th }}$ and $12^{\text {th }}$ term of binomial expansion $(1+x)^{2 n-1}$. $=5 B$, then the value of $n$ is

1)20

2)21

3)14

4)20

Q.5 If a square is divided in $4 \times 4$ squares.
If two squares are chosen randomly then the probability that the squares doesn't share common side is
(A) 3/5
(B) $4 / 5$
(C) $3 / 20$
(D) $7 / 10$

Q.6Arithmetic mean $\mathrm{S}_{12}=57, \mathrm{~S}_{40}=1030$. Find $\mathrm{S}_{30}-\mathrm{S}_{10}=$ ?

Q.7 A solid sphere rolls without slipping on a horizontal plane. What is ratio of translational kinetic energy to the rotational kinetic energy of the sphere.
$1 \quad 4 / 3$
$2 \quad 3 / 4$
$3 \quad 2 / 5$
$4 \quad 5 / 2$

Q.8 The conditions and consequences that favour the $\mathrm{t}_{2 \mathrm{~g}}^3 \mathrm{e}_{\mathrm{g}}^1$ configuration in a metal complex are

1 Strong field ligand; High spin complex
2 Weak field ligand; High spin complex
3 Strong field ligand; Low spin complex
4 Weak field ligand; Low spin complex

Q.9 There is a group $\mathbf{A}$ of 5 boys and 3 girls and another group $\mathbf{B}$ of 5 boys and 6 girls. How many ways can we invite 4 boys and $\mathbf{4}$ girls for party with $\mathbf{5}$ from group A and 3 from group B.

Q.10 The equation of chord of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ with $(3,1)$ as mid-point is
$1 \quad 48 x+25 y-169=0$
$2 \quad 25 x+5 y-125=0$
$3 \quad65 x+2 y-12=0$
$4 \quad 45 x+4 y-135=0$

Q.11 If the acceleration due to gravity on the surface of carth is $g$, then acceleration due to gravity on a planet whose diameter is $\frac{1}{3}$ of that of earth and same mass as that of earth is $g^{\prime}=n g$, where $n$ is

Q.12 When ethane-1, 2-diammine is progressively added to aqueous solution of Nickel (II) chloride the sequence of colour change observed will be:

1 Pale Blue $\rightarrow$ Blue $\rightarrow$ Green $\rightarrow$ Violet

2 Violet $\rightarrow$ Blue $\rightarrow$ Pale Blue $\rightarrow$ Green
$3 \quad$ Pale Blue $\rightarrow$ Blue $\rightarrow$ Violet $\rightarrow$ Green
$4 \quad$ Green $\rightarrow$ Pale Blue $\rightarrow$ Blue $\rightarrow$ Violet

Q.13 $7=51+\frac{1}{7}(5+\alpha)+\frac{1}{7^2}(5+2 \alpha)+\cdots \infty$. Then $\alpha$ is

1)6

2)$\frac{6}{7}$

3)$\frac{1}{7}$

4)1

Q.14 If system of equations

$
\begin{aligned}
& x+2 y-3 z=2 \\
& 2 x+\lambda y+5 z=5 \\
& 4 x+3 y+\mu z=33 \text { has infinite solutions, then } \lambda+\mu \text { is equal to }
\end{aligned}
$

$1 \quad \frac{1334}{5}$
$2 \quad \frac{1269}{5}$
$3 \quad \frac{261}{5}$
$4 \quad \frac{1063}{5}$

Q.15 A solid sphere and hollow sphere rolls down purely equal distances on same inclined plane (starting from rest) in time $t_1$ and $t_2$ then

(A) $t_1>t_2$
(B) $t_1<t_2$
(C) $t_1=2 t_2$
(D) $t_1=t_2$

Q.16 The thin Biconvex lens is divided in to 4 equal parts by plane AB and CD The original power is 4D. The after dividing power of each piece is

Q.17 If $2 \sin x \frac{d y}{d x}=\sin 2 x-2 y \tan x, y\left(\frac{\pi}{3}\right)=0$ find $y \cdot\left(\frac{\pi}{4}\right)+y\left(\frac{\pi}{4}\right)$

Q.18 Statement - 1: First ionization energy Ge is greater than Si

Statement - 2: First ionization energy Pb is greater than Sn
a) Statement - $\mathbf{1}$ is true Statement $\mathbf{- 2}$ is false
b) Statement - 18 Statement - 2 are false
c) Both the Statements are true
d) Statement - 1 is false Statement - 2 is true

Q.19 In YDSE light of $\lambda 600 \mathrm{~nm}$ \& 480 nm are used. What is the minimum order of Bright fringe of 480 nm coincides with bright frig 600 nm ?

Q.20 A satellite is nine times closer to earth compared to moon. Time period of moon is 27 days then period of the satellite is

(A) 1 days
(B) 3 days
(C) 9 day
(D) $3 \sqrt{3}$ days

Q.21 3,4-Diphenyl Hex-1-en-5-yne have how many sp² and sp carbon atom.

Q.22.Find area bounded by $y=e^* \cdot y=e^*-1$ and $y$ axis

Q.23 If $E_{( }(\beta) m$ and $c$ denote the energy, linear momentum, mass and speed of light, then the equation representing the correct relation could be
$1 \quad E^2=p^2 c^2+m^2 c^4$
$2 \quad E^2=p c^2+m^2 c^4$
$3 \quad E=p^2 c^2+m^2 c^2$
$4 \quad E^2=p c^2+m^2 c^2$

Q.24 S-1:- The first ionisation energy of Pb is greater than that of Sn .
S-II:- The first lonisation energy of Ge is greater than that of Si.

1 S-I and S-ll both are correct

2 S-1 is correct and S-II incorrect

3 S-1 is incorrect and S-11 correct

4 S.1 and S-11 both are incorrect

JEE Main 2025 January 24 Shift 2 Question Paper with Solution

JEE Main 2025 24 Jan Shift 2 Question Paper with Solution is now available on this page as the exam is over. However, these resources are crucial for candidates appearing in subsequent shifts and those preparing for the April session. This will help the students to prepare for the April session as well as the ones who have their exams on the other shifts.

Previous Years Question Paper. The JEE Mains 24 January shift 2 question paper is an essential resource, especially when used alongside the JEE Mains 2025 question paper pdf to prepare for the exam, however, to get a better understanding of how the paper is going to be, refer to the below question papers.

JEE Main 2025 January 24 Shift 2 Previous Year Analysis

Overall Difficulty

The JEE Main 2025 January 24 Shift 2 exam is expected to be fairly well rounded where each of the sections considers the preparation strategy of the students. The questions that were asked in sections Mathematics and Physics include the conceptual questions, the accuracy of which depends on knowledge and speed, while in the section of Chemistry, there is a relatively less difficult route to score marks

1. Mathematics

• Difficulty Level: Moderate to challenging.

• Topics with Higher Weightage: Calculus and Algebra & Coordinate geometry concepts are focal points of the exam Concepts applied was be tested intensely. Solving the previous year's paper was be helpful for the JEE Mains 2025 24 January paper.

• Nature of Questions: The test comprises both numerical value and multiple choice questions. Some of the problems require simple arithmetic operations to be done while in others one has to think and work through many operations.

• Key to Success: The main implications for students were time management and an understanding of potential question rhythms. Analyzing the expectations of JEE Main 2025 24 Jan shift 2 paper is an effective strategy for understanding the difficulty level.

2. Physics

• Difficulty Level: A few questions was be tough to answer.

• Topics with Higher Weightage: Mechanics, Electromagnetism, and Modern Physics are major ones holding weightage, full of conceptual questions that call for some background to solve.

• Nature of Questions: Numerical questions are expected to be more of quotient and arithmetic type and theoretical questions check the students’ theoretical understanding of the subject.

• Key to Success: Knowledge of the laws of motion working of electric fields and the nature of the photoelectric effect is beneficial.

3. Chemistry

• Difficulty Level: Comparatively easier.

• Topics with Higher Weightage: There are expected to be basic questions from Organic Chemistry and from Physical and Inorganic Chemistry as well.

• Nature of Questions: The types of questions set directly from the NCERT textbooks and the standard concepts given formed a rich source of scores.

• Key to Success: Practicing NCERT and solving papers of previous years helped a lot.

Time Management

Time management is a very important aspect of the JEE Main 2025 January 24 Exam. Students must strategically prepare with their strengths and weaknesses to ace the JEE Main 2025 January 24 Question Paper. By analyzing the expectations of the January 24 Shift 2 paper, students preparing for subsequent sessions or the April examination can adapt their strategies for better outcomes.