JEE Main 2025 Session 2 Important Questions - Subject Wise Questions

Why Focus on Important Questions for JEE Main 2025 Session 2?

Studying the JEE Main important questions helps students both develop a clearer understanding of concepts and speed up their problem-solving ability while learning typical types of problems that appear in the exam. Solving the critical questions in Session 2 of JEE Main 2025 offers an opportunity to understand prominent exam topics.

Most Important Questions for JEE Mains 2025 Session 2

To ensure a comprehensive revision, focus on high-priority topics in Physics, Chemistry, and Mathematics. Below are some of the critical areas:

• Physics: Mechanics, Electrostatics, Magnetism, Optics, Modern Physics

• Chemistry: Organic Reactions, Chemical Bonding, Thermodynamics, Coordination Compounds

• Mathematics: Calculus, Algebra, Probability, Coordinate Geometry, Vectors & 3D Geometry

Practicing JEE Mains important questions with solutions PDF can significantly enhance accuracy and efficiency in solving problems.

Some Most Important Questions For Physics, Chemistry and Maths

JEE Main 2025 Session 2 Physics Questions

1. A person traveling on a straight line moves with a uniform velocity $\mathrm{v}_1$ for a distance x and with a uniform velocity $\mathrm{v}_2$ for the next $\frac{3}{2} \mathrm{x}$ distance. The average velocity in this motion is $\frac{50}{7} \mathrm{~m} / \mathrm{s}$. If $\mathrm{v}_1$ is $5 \mathrm{~m} / \mathrm{s}$ then $\mathrm{v}_2=$ _____ $\mathrm{m} / \mathrm{s}$.

2. The moment of inertia of a rod of mass ' M ' and length 'L' about an axis passing through its center and normal to its length is ' $\alpha$ '. Now the rod is cut into two equal parts and these parts are joined symmetrically to form a cross shape. The moment of inertia of a cross about an axis passing through its center and normal to the plane containing the cross is :

1) $\alpha$2

2) $\alpha / 4$

3) $\alpha / 8$

4) $\alpha / 2$

3. A river is flowing from west to east direction with a speed of $9 \mathrm{~km} \mathrm{~h}^{-1}$. If a boat capable of moving at a maximum speed of $27 \mathrm{~km} \mathrm{~h}^{-1}$ in still water, crosses the river in half a minute, while moving with maximum speed at an angle of $150^{\circ}$ to direction of river flow, then the width of the river is :

1) 300 m

2) 112.5 m

3) 75 m

4) $112.5 \times \sqrt{3} \mathrm{~m}$

4. The equation for real gas is given by $\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$, where $\mathrm{P}, \mathrm{V}, \mathrm{T}$ and R are the pressure, volume, temperature, and gas constant, respectively. The dimension of $\mathrm{ab}^{-2}$ is equivalent to that of:

1) Planck's constant

2) Compressibility

3) Strain

4) Energy density

5. Let $B_1$ be the magnitude of the magnetic field at the center of a circular coil of radius R carrying current I . Let $\mathrm{B}_2$ be the magnitude of magnetic field at an axial distance ' $x$ ' from the center. For $x: R=3: 4, \frac{B_2}{B_1}$ is :

1) $4: 5$

2) $16: 25$

3) $64: 125$

4) $25: 16$

JEE Main 2025 Session 2 Chemistry Questions

1.

Consider the following half cell reaction

$$
\mathrm{Cr}_2 \mathrm{O}_7^{2-}(\mathrm{aq})+6 \mathrm{e}^{-}+14 \mathrm{H}^{+}(\mathrm{aq}) \rightarrow 2 \mathrm{Cr}^{3+}(\mathrm{aq})+7 \mathrm{H}_2 \mathrm{O}(\mathrm{l})
$$

The reaction was conducted with the ratio of $\frac{\left[\mathrm{Cr}^{3+}\right]^2}{\left[\mathrm{Cr}_2 \mathrm{O}_7^{2-}\right]}=10^{-6}$. The pH value at which the EMF of the half cell will become zero is $\_\_\_\_$ . (nearest integer value)
[Given : standard half cell reduction potential

$$
\left.\mathrm{E}_{\mathrm{C}_2 \mathrm{O}_{-}^2+\mathrm{H}^* / \mathrm{Cr}^{3+}}^{\mathrm{o}}=1.33 \mathrm{~V}, \frac{2.303 \mathrm{RT}}{\mathrm{~F}}=0.059 \mathrm{~V}\right]
$$

2. The equilibrium constant for decomposition of $\mathrm{H}_2 \mathrm{O}(\mathrm{g})$

$$
\mathrm{H}_2 \mathrm{O}(\mathrm{~g}) \rightleftharpoons \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g})\left(\Delta \mathrm{G}^{\circ}=92.34 \mathrm{~kJ} \mathrm{~mol}^1\right)
$$

is $8.0 \times 10^{-3}$ at 2300 K and total pressure at equilibrium is 1 bar . Under this condition, the degree of dissociation ( $\alpha$ ) of water is $\_\_\_\_$ $\times 10^{-2}$ (nearest integer value).
[Assume $\alpha$ is negligible with respect to 1 ]

3. 20 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of silver nitrate solution. The molarity of the sodium iodide solution is $\_\_\_\_$ M. (Nearest Integer value)

$$
\left(\text { Given : } \mathrm{Na}=23, \mathrm{I}=127, \mathrm{Ag}=108, \mathrm{~N}=14, \mathrm{O}=16 \mathrm{~g} \mathrm{~mol}^{-1}\right)
$$

4. The energy of an electron in first Bohr orbit of H -atom is -13.6 eV . The magnitude of energy value of electron in the first excited state of $\mathrm{Be}^{3+}$ is $\_\_\_\_$ eV . (nearest integer value)

JEE Main 2025 Session 2 Mathematics Questions

1. If the set of all $\mathrm{a} \in \mathrm{R}-\{1\}$, for which the roots of the equation $(1-a) x^2+2(a-3) x+9=0$ are positive is $(-\infty,-\alpha] \cup[\beta, \gamma)$, then $2 \alpha+\beta+\gamma$ is equal to $\_\_\_\_$

2. Let $\mathrm{A}(4,-2), \mathrm{B}(1,1)$ and $\mathrm{C}(9,-3)$ be the vertices of a triangle $A B C$. Then the maximum area of the parallelogram $A F D E$, formed with vertices $\mathrm{D}, \mathrm{E}$ and F on the sides $\mathrm{BC}, \mathrm{CA}$ and AB of the triangle ABC respectively, is $\_\_\_\_$

3. If $y=\cos \left(\frac{\pi}{3}+\cos ^{-1} \frac{x}{2}\right)$, then $(x-y)^2+3 y^2$ is equal to $\_\_\_\_$

4. If the sum of the first 10 terms of the series $\frac{4.1}{1+4.1^4}+\frac{4.2}{1+4.2^4}+\frac{4.3}{1+4.3^4}+\ldots$ is $\frac{m}{n}$, where $\operatorname{gcd}(m, n)=1$, then $m+n$ is equal to $\_\_\_\_$ .

5. Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}+2 y \sec ^2 x=2 \sec ^2 x+3 \tan x \cdot \sec ^2 x$ such that $y(0)=\frac{5}{4}$. Then $12\left(y\left(\frac{\pi}{4}\right)-e^{-2}\right)$ is equal to

JEE Main Session 2 Important Questions and Answers

Your performance will be improved by solving previous year examinations along with expert-created problems. Some illustrative topics that will be discussed include:

• Kinematics-based motion problems with detailed solutions

• Stoichiometry and mole concept numerical questions

• Definite Integration and Differential Equations.

Downloading JEE Mains important questions with solutions PDF ensures easy access to high-quality resources for systematic preparation.

How to Effectively Utilize Important Questions for JEE Mains 2025 Session 2?

• Daily question-solving leads to improved speed and accuracy within the workplace.

• Test conditions can be made by using timers to practice during simulation sessions.

• Students should review solutions completely to understand concepts in weak areas.

• Testing with full-length assessments allows students to evaluate their performance by measuring improvement as well as discovering weaknesses.

Mastering the most important questions for JEE Mains 2025 Session 2 is essential for achieving a competitive score. Strengthen your comprehension and problem-solving skills by referring to the JEE Main session 2 important questions and answers. Students who access JEE Mains important questions with solutions in PDF format will experience simplified revision while boosting their exam confidence level.