JEE Main 2025 April 4 Shift 2 Question Paper with Solutions - Download Free PDF Here

JEE Main 2025 April 4 Shift 2 Question Paper Pattern

JEE Main 2025 April 4 Shift 2 Question Paper with Solutions

The JEE Main 2025 April 4 Shift 2 Question Paper is released now. This paper contain theoretical and numerical questions of Physics, Chemistry, and Mathematics. This exam is designed to test analytical and problem solving abilities. Students can access the JEE Main 2025 April 4 Shift 2 Paper PDF Download for a complete set of questions and solutions. You can Download JEE Main 2025 April 4 Shift 2 Paper PDF from here.

Memory Based Questions

Chemistry

Q.1 Maximum IE and minimum IE of group 13 elements

$1 \quad B, \ln$

$2 \quad B, TI$
$3 \quad \mathrm{Al}, \mathrm{In}$
$4 \quad\mathrm{Al}, \mathrm{Tl}$

Q.2 Total number of electrons in chromium $(Z=24)$ for which the value of azimuthal quantum number $(\mathrm{I})$ is 1 and 2

Q.3 X is a peptide which is hydrolysed to 2 amino acids y and $z$. y when react with $\mathrm{HNO}_2$ gives lactic acid. z when heated gives cyclic structure as below:
y and z respectively are

1 Alanine and Lysine

2 Alanine and Glycine

3 Glycine and Alanine

4 Valine and Glycine

Q.4 $0.01 \mathrm{MHX}\left(\mathrm{K}=4 \times 10^{-10}\right)$ is diluted till the solution has $\mathrm{pH}=6$. If the new concentration is $\mathrm{x} \times$ 10⁷ M , then find x .

Physics

Q 1) A disc is performing pure rolling if speed of top point is $8 \mathrm{~m} / \mathrm{s}$. Find speed of point B.

Q 2) A partide of mass $m$ is at a distance 3R from the centre of Earth. Find the minimum kinetic energy of a particle to leave Earth's field ( $R$ : radius of Earth)

Q 3) In a YDSE setup, the slits are separated by 1.5 mm and the distance between slits and screen is 2 m. On using light of wavelength 400 nm, it is observed that 20 maximas of double slit experiment lie inside the central maxima of single slit diffraction. The width of each slit is ..... $\mu \mathrm{m}$.

Maths

Q 1. $\cot ^{-1}\left(\frac{7}{4}\right)+\cot ^{-1}\left(\frac{19}{4}\right)+\cot ^{-1}\left(\frac{39}{4}\right)+\cdots \infty$

$\begin{aligned} 1) & \cot ^{-1}(2) \\ 2)& \cot ^{-1}\left(\frac{1}{2}\right) \\ 3)& \cot ^{-1}\left(\frac{1}{3}\right) \\ 4) & \cot ^{-1}(3)\end{aligned}$

Q 2. $\sum_{k=1}^n\left(\alpha^k+\frac{1}{\alpha^k}\right)^2=20, \alpha$ is one of the root of $x^2+x+1=0$ then $n=$ ?

Q 3. Let $L_1: \frac{x-1}{3}=\frac{y}{4}=\frac{z}{5}$ and $L_2: \frac{x-p}{2}=\frac{y}{3}=\frac{z}{4}$. If the shortest distance between $L_1$ and $L_2$ is $\frac{1}{\sqrt{6}}$. Then possible value of $p$ is

1) 3

2) 2

3) 5

4) 7

Q 4. If $\int {\frac{\left(\sqrt{1+x^2}+x\right)^{10}}{\left(\sqrt{1+x^2}-x\right)^2}} d x=\frac{1}{m}\left[\left(\sqrt{1+x^2}+x\right)^n\left(n \sqrt{1+x^2}-x\right)\right]+c$, where c is the constant of integration and $m, n \in N$ then $m+n$ is _____

Q 5. Let the mean & variance of observation ${2,3,3,4,5,7, a, b}$ is 4 and 2, then mean deviation about mode of the observation is ____

JEE Main 2025 April 4 Shift 2 Exam Analysis & Student Feedback

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JEE Main 2025 April 4 Answer Key & Solution PDF Download

The JEE Main 2025 April 4 Answer Key PDF Download will be made available for candidates to verify their answers. The JEE Main 2025 April 4 All Shifts Question Paper will also be accessible after all exams conclude. Keep checking this page for JEE Main 2025 April 4 Answer Key Download, expert solutions, and detailed explanations for all shifts.