Candidates can now download the JEE Mains 2026 January 28 Shift 1 Question Paper PDF with answer key from the table below. They can use the JEE Main today’s paper to check answers, estimate scores, and analyse the exam pattern for better preparation.
JEE Mains 2026 January 28 Shift 1 Question Paper
The JEE Main 2026 January 28 Shift 1 Question Paper has been released, and the questions are provided below from all subjects - Physics, Chemistry, and Maths.. These questions will help in analysing the exam pattern and understanding the level of difficulty of the paper.
JEE Main 2026 Jan 28 Shift 1 Physics Question Paper
Question 1: Equation of an EMW in a medium is given by $E=2 \sin \left(2 \times 10^{15} t-10^7 x\right)$. Find refractive index of the medium.
1. $\frac{3}{2}$
2. 2
3. $\frac{5}{3}$
4. $\frac{4}{3}$
Question 2: Find the ratio of the de Broglie wavelengths of an electron having energy $E$ and an $\alpha$ particle having energy $2 E$.
Question 3: For a circular coil of radius $R$, center is $B_0=16 \mu \mathrm{~T}$. What will be the magnetic field on axis at a distance $x=\sqrt{3} R$ from center?
1. $\frac{1}{4} \mu \mathrm{~T}$
2. $\frac{1}{2} \mu \mathrm{~T}$
3. $4 \mu \mathrm{~T}$
4. $2 \mu \mathrm{~T}$
Question 4: Electric current in a circuit is given by $i=i_0\left(\frac{t}{r}\right)$, find rms current for period $t=0$ to
1. $\frac{i_0}{\sqrt{5}}$
2. $\frac{i_0}{\sqrt{2}}$
3. $\frac{i_0}{2}$
4. $\frac{i_0}{\sqrt{3}}$
JEE Main 2026 Jan 28 Shift 1 Chemistry Paper
Question 1: In Carius method of estimation of ' Br ', 1.53 g of an organic compound gave 1 g AgBr . The \% of Br in organic compound is, (Atomic mass of $\mathrm{Ag}, \mathrm{Br}=108,80$ u respectively)
1. 35.23
2. 43.53
3. 27.81
4. 22.71
Question 2: In period 4 of the periodic table which elements have the highest and lowest atomic radii respectively
1. K and Br
2. Na and Cl
3. K and Se
4. Rb and Br
Question 3: Find the ratio of de Broglie wavelength of duetron having enorgy $\in C \alpha$ particle having energy $2 E$.
Question 1: Consider the 10 observations $2,3,5,10,11,13,15,21, a$ and $b$ such that mean of observation in 9 and variance is 34.2 . Then the mean deviation about median is
1. 3
2. 5
3. 6
4. 7
Question 2: Let $\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1} \frac{2}{3}\right)+\tan ^{-1}\left(\frac{1}{2} \sin ^{-1} \frac{2}{3}\right)$. Then number of solutions of the equation $\sin ^{-1}(k x-1)=\sin ^{-1} x-\cos ^{-1} x$ is
Question 3: Let $f(x)$ be a polynomial function such that $f\left(x^2+1\right)=x^4+5 x^2+3$, then $\int_0^3 f(x) d x=$