JEE Main 2025 April 8 Question Paper with Solutions - Download PDF

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JEE Main 2025 April 8 Shift 2 Question Paper with Solutions (Memory Based)

Since the examination is done, in-depth solutions and a review of the paper is posted here. The materials will assist potential candidates in learning the level of difficulty, major concepts, and problem-solving strategies involved in succeeding. Going through the solutions will enable you to identify major topics, get a clearer idea of the types of questions, and evaluate how to solve various problems in subsequent shifts of the exam.

Chemistry

Q.1. Consider the last electron of an element having an atomic on. 9 & choose correct option

1) Sum of total nodes $=1$
2) n=2 ; 1=0

3) Last electron enters in 2 s subshell

4) There are $5 e^{-}$with $1=0$

Q.2. Which of the following has $s p^3 \mathrm{~d}^2$ hybridisation?
$1 \left[\mathrm{NiCl}_4\right]^{2-}$
$2 \left[\mathrm{Ni}(\mathrm{CO})_4\right]$
$3 \quad \mathrm{SF}_6$
$4 \left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}$

Q.3 Atomic number of element with lowest first ionisation enthalpy is

1) 32
2) 19
3) 35
4) 87

Q.4 Consider the following statement

Statement I: $\mathrm{H}_2 \mathrm{Se}$ is more acidic than $\mathrm{H}_2 \mathrm{Fe}$
Statement II : $\mathrm{H}_2 \mathrm{Se}$ has higher bond dissociation Enthalpy
In light of the above statement, choose the correct option

1 Statement-1 is true & Statement-II is false

2 Statement-I is false & Statement-Il is true
3 Both Statement-I & Statement-II are true
4 Both Statement-1 & Statement-II are false

Q.5 Find the IUPAC name of the given compound

Q.6 Q. Correct decreasing order of spin only magnetic moment values is
$1 \quad \mathrm{Cr}^{3+}>\mathrm{Cr}^{2+}>\mathrm{Cu}^{2+}>\mathrm{Cu}^{+}$
$2 \quad \mathrm{Cr}^{3+}>\mathrm{Cr}^{2+}>\mathrm{Cu}^{+}>\mathrm{Cu}^{2+}$
$3 \quad \mathrm{Cr}^{2+}>\mathrm{Cr}^{3+}>\mathrm{Cu}^{2+}>\mathrm{Cu}^{+}$
$4 \quad \mathrm{Cr}^{2+}>\mathrm{Cr}^{3+}>\mathrm{Cu}^{+}>\mathrm{Cu}^{2+}$

Maths

Q 1. The number of rational terms in the binomial expansion of $\left(5^{\frac{1}{2}}+7^{\frac{1}{8}}\right)^{1016}$ is

1) 129

2) 128

3) 127

4) 130

Q 2.

$
\begin{aligned}
& \frac{1}{1^4}+\frac{1}{2^4}+\frac{1}{3^4}+\ldots \ldots=\frac{\pi^4}{90} ,\\
& \frac{1}{1^4}+\frac{1}{3^4}+\frac{1}{5^4}+\ldots=\alpha \\
& \frac{1}{2^4}+\frac{1}{4^4}+\frac{1}{6^4}+\ldots=\beta
\end{aligned}
$
Then find $\frac{\alpha}{\beta}$.

1) 15

2) 14

3) 23

4) 18

Q 3. There are 12 points in a plane in which 5 are collinear such that no three of them are in straight line, then the number of triangles that can be formed from any 3 vertices from 12 points.

1) 220

2) 210

3) 230

4) 240

Q 4. Two lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-\lambda}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ has shortest distance $\frac{1}{\sqrt{6}}$. If $\lambda_1, \lambda_2$ are values of $\lambda$, then radius of circle passing through $(0,0),\left(\lambda_1, \lambda_2\right),\left(\lambda_2, \lambda_1\right)$ is $\qquad$

Physics

Q 1. A fractional errors in $x, y$ and $z$ are $0.1,0.2$ and 0.5 respectively. Find the maximum fractional error in $x^{-2} y^{\frac{3}{2}} z^{-\frac{2}{5}}$.

1) 0.2

2) 0.7

3) 0.6

4) 0.3

Q 2. For a nucleus of mass number $A$ and radius $R$, mass density $\rho$. Then choose the correct option

1) $
\rho \propto A^{1 / 3}
$

2) $\rho$ is independent of $A$

$\begin{aligned}
3) & \rho \propto A \\
4) & \rho \propto A^3
\end{aligned}$

Q 3. There are two charged sphere of radius $R$ and $3 R$. When the sphere are made to touch each other and then separate, the surface charge density becomes $r_1$ and $r_2$ respectively. Find $\frac{r_1}{r_2}$

1) 1/9

2) 1/3

3) 3

4) 9

Q 4. Given $\lambda=\frac{2 n c}{m}$ (linear charge density) is for $Q$ wire which is passing through body diagonal of a closed cube of side length $\sqrt{3} \mathrm{~cm}$. Find flux through the cube.

1) $1.44 \pi$
2) $0.72 \pi$
3) $2.16 \pi$
4) $6.84 \pi$

Q 5. A monoatomic gas is stored in a thermally insulated container. The gas is suddenly compressed to $\left(\frac{1}{8}\right)^{\text {th }}$ of its initial volume. Find ratio of final pressure to initial pressure.

1) 8

2) 16

3) 4

4) 32

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JEE Main 2025 April 8 Shift 2 Answer Key & Solution PDF Download

Referring to the JEE Main 2025 April 8 Shift 2 answer key and solutions is essential for candidates to gauge their performance and identify areas of improvement. These resources allow for an extensive realization of problem-solving methodologies as well as a further understanding of intricate concepts. Exposure to the answer key helps in getting accustomed to the structure and format of the exam, and thus improving preparation for future exams. In a nutshell, the use of the answer key and solutions is a strategic method for increasing readiness and confidence for future engineering entrance exams.

JEE Main 2025 April 8 Shift 2 Question Paper Pattern

The paper is framed to test the candidates' knowledge of fundamental concepts in three subjects: Physics, Mathematics, and Chemistry.

1. Physics: It is expected to be moderately tough. It is predicted that it will cover topics like Mechanics and Electromagnetism. You will need to have strong grasp of formulas and application to answer conceptual questions.

2. Mathematics: The level of difficulty for Mathematics will be moderate but needs high problem-solving ability, particularly in Calculus and Algebra. Time management will be important for finishing the math section within the given time.

3. Chemistry: Chemistry is typically likely to be the most easy section of the test, and a major emphasis will be laid on Organic Chemistry. Organic Chemistry knowledge will normally be questioned in major reactions and mechanisms. A few questions from Physical Chemistry and Inorganic Chemistry might also be included, but with an emphasis on organic reactions and principles.