JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF

JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF

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Shivani PooniaUpdated on 04 Feb 2025, 06:12 PM IST
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JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF
JEE Main 2025 January 28 Shift 2 Question Paper with Solutions

JEE Main 2025 January 28 Shift 2 Question Paper is out now! We will provide you with the JEE Mains 2025 Jan 28 shift 2 question papers with solutions after the exam in the official youtube channel also for all 3 subjects - Physics, Chemistry, and Mathematics. Memory based questions are given below to better understand the JEE exam pattern and improve your preparation strategy for April shift and remaining JEE Main exams. Download the question paper and solutions in PDF format for free below!

JEE Main 2025 January 28 Shift 2 Question Paper with Solutions ( Memory based Questions)

JEE Main 2025 Shift 2 Question Paper with Solution will be available on this page after the conduction of the exam. 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.

28 Jan shift 2

Q.1 Consider the following oxides,

$\mathrm{V}_2 \mathrm{O}_3, \mathrm{~V}_2 \mathrm{O}_4 \text { and } \mathrm{V}_2 \mathrm{O}_5$
Change in oxidation state of vanadium when amphoteric oxide reacts with acids to form $\mathrm{VO}_4{ }^{+}$is

Q.2 Q. Bohr's model is applicable for single electron atom of atomic number Z. Dependency of frequency of rotation of electron in $n^{\text {th }}$ principal quantum number is proportional to
$1 \quad \mathrm{Z} / \mathrm{n}^2$
$2 \quad Z^2 / n^3$
$3 \quad n^3 / Z$
$4 \quad Z / n$

Q.3 Which has maximum oxidising power among the following
$1 . \mathrm{VO}_2{ }^*$
$2 . \mathrm{Cr}_2 \mathrm{O}_7{ }^{2-}$
$3 .\mathrm{MnO}_4^{-}$
$4 .\mathrm{TiO}_2$

Q.4 Let $f(x)=\int \frac{d x}{x^{1 / 4}\left(x^{1 / 4}+1\right)}$. If $f(0)=-6$, then $f(2)$ is
$1 \quad 4\left[\frac{1}{\sqrt{2}}-2^{1 / 4}+\ln \left|1+2^{1 / 4}\right|\right]-6$
$2 \quad 4\left[\frac{1}{\sqrt{2}}-2^{1 / 4}+\ln \left|1+2^{1 / 4}\right|\right]+6$
$3 \quad 4\left[\frac{1}{\sqrt{2}}+2^{1 / 3}+\ln \left|2^{1 / 4}\right|\right]-6$
$4 \quad 4\left[3+2^{1 / 3}-\ln 2^{1 / 4}\right]+6$

Q.5 No. of Paramagnetic species among the following is

$
\mathrm{O}_2, \mathrm{O}_2 \cdot, \mathrm{O}_2^{-}, \mathrm{NO}_2, \mathrm{NO}, \mathrm{CO}
$

Q.6 How many of the following molecules are polar?

$
\mathrm{CH}_4, \mathrm{CCl}_4, \mathrm{CH}_2 \mathrm{Cl}_2, \mathrm{H}_2 \mathrm{O}, \mathrm{NH}_3, \mathrm{H}_2 \mathrm{O}_2, \mathrm{O}_2 \mathrm{~F}_2
$

Q.7 In an electromagnetic wave, the magnetic field is given as $\vec{B}=\left(\frac{\sqrt{3}}{2} \hat{\imath}+\frac{1}{2} \hat{\jmath}\right) 30 \sin (\omega t-k z)$, the corresponding electric field is
$1 \quad\left(\frac{1}{2} \hat{\imath}+\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \sin (\omega t-k z)$
$2\left(\frac{1}{2} \hat{\imath}-\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \sin (\omega t-k z)$
$3\left(\frac{1}{2} \hat{\imath}+\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \cos (\omega t-k z)$
$4 \quad\left(\frac{1}{2} \hat{\imath}-\frac{\sqrt{3}}{2} \hat{\jmath}\right) 9 \times 10^9 \cos (\omega t-k z)$

Q.8 For concave mirror, distance between object and image $=20 \mathrm{~cm}$ and $m=-3$ find focal length

Q.9

Q. Evaluate

$
\sum_{r=1}^{13} \frac{1}{\sin \left[\frac{\pi}{4}+(r-1) \frac{\pi}{6}\right] \sin \left[\frac{\pi}{4}+\frac{r \pi}{6}\right]}
$

$1 \quad2 \sqrt{3}+2$
$2 \quad 2 \sqrt{3}-2$
$3 \quad 3 \sqrt{2}+2$
$4 \quad 3 \sqrt{2}-4$

Q.10 Bags $B_1, B_2, B_3$ contains 4 Blue, 6 white balls, 5 White 5 blue balls and 6 blue 4 white balls respectively. A bag is randomly selected and a ball is drawn. If the drawn ball is white then find the probability that $B_2$ bag was selected.

Q.11 $\begin{gathered}E=\left(\frac{\sqrt{3}}{2} i+\frac{1}{2} j\right) 30 \sin \left(\omega\left(t-\frac{z}{c}\right) j\right) \\ B=?\end{gathered}$

Q.12 If $x-(3-2 i) x-(2 i-2)=0$ has roots $\alpha+i \beta$ and $\gamma+i \delta$ find the value of $\alpha_y+\beta \delta$.

Q.13 Calculate the spin magnetic moment of $\mathrm{Mn}_2 \mathrm{O}_3$

Q.14 Which of the following compound(s) is/are yellow in colour?
(a) CdS, (b) PbS, (c) CuS, (d) ZnS (Cold), (e) $\mathrm{PbCrO}_4$

Choose the correct answer from the options given below:

Q.15 Consider the following oxides, $\mathrm{V}_2 \mathrm{O}_3, \mathrm{~V}_2 \mathrm{O}_4$, and $\mathrm{V}_2 \mathrm{O}_5$ Change in oxidation state of vanadium when amphoteric oxide reacts with acids to form $\mathrm{VO}_4$ is

1) 1

2) 2

3) 3

4) 4

Q.16 Find domain of $\sec { }^{\prime}(2[x]+1)$, where [.] denotes GIF.

Q.17 $\mathrm{CH}_3-\mathrm{C} \equiv \mathrm{CH} \xrightarrow[\mathrm{H}_2]{\text { e } \mathrm{Pd} / \mathrm{C}}(\mathrm{A}) \xrightarrow[\text { (ii) } \mathrm{Zn}, \mathrm{H}_2 \mathrm{O}]{\text { (i) } \mathrm{O}_3}(\mathrm{~B})+(\mathrm{C})$

Q.18 212,213,..........., 999
find no. of numbers in the sequence above whose sum of digits is 15 .

Q.19 Q. The correct order of energy of the following subshell
$\quad$ 1s $2 s \quad 3 p \quad 3 d$
$1 \quad 1 s<2 s<3 d<3 p$
$2 \quad 2 s<1 s<3 p<3 d$
$3 \quad 1 s<3 p<2 s<3 d$
$4 \quad 1 s<2 s<3 p<3 d$

Q.20 Q. The magnetic field $\vec{B}$ at the centre $O$ of the given arrangement is
$1 \quad \frac{+\mu_0 I}{8 \pi a}(3 \pi+2) \hat{k}$
$2 \quad \frac{-\mu_0 I}{8 \pi a}(3 \pi+2) \hat{k}$
$3 \quad \frac{+\mu_0 I}{8 \pi a}(3 \pi-2) \hat{k}$
$4 \quad \frac{-\mu_0 I}{8 \pi a}(3 \pi-2) \hat{k}$

Q.21 Find area enclosed by $x\left(y^2+1\right)$ and $y^2=2 x$.

Q.22 If $f(x)=\int \frac{d x}{x^{1 / 4}\left(x^{1 / 4}+1\right)^4 d x \& f(0)=1 \text {. find } f(2)=\text { ? }}$

Q.23 which of the group -15 element forms $\mathrm{d} \pi-\mathrm{d} \pi$ Bond and strongest basic hydride ?
(1) $z=7$
(2) $z=15$
(3) $z=33$
(4) $z=51$

Q.24 Q. Area bounded between the curves $C_1: x\left(1+y^2\right)-1=0$ and $C_2: y^2-2 x=0$ is (in sq. unit)
$1 \quad \frac{\pi}{2}-\frac{1}{3}$
$2 \quad \frac{\pi}{4}-\frac{1}{6}$
$3 \quad 2\left(\frac{\pi}{2}-\frac{1}{6}\right)$
$4 \quad \frac{\pi}{6}+\frac{1}{2}$

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Questions related to JEE Main

On Question asked by student community

Have a question related to JEE Main ?

Hello,

Don't worry even if you give the wrong birthplace address in the JEE Main application, because the NTA provides the correction window. Still, it can affect the domicile/state quota. So, you must correct these mistakes in the correction window.

I hope it will clear your query!!

Hello,
Choosing CSBS engineering at Techno Main Salt Lake for the 2026 session can be a good option. The CSBS course focuses on both computer science and business skills, which helps students become job-ready for roles in technology, analytics, and management-related fields.

The placement performance for this branch is generally good. Students usually receive offers from software companies, IT services, product-based companies, and analytics firms. The usual salary range is around four to six lakh per year, and higher packages are possible for skilled students.

The academic fee for the CSBS program, excluding hostel charges, is typically between three to four lakh for the full four-year course, though it may change slightly depending on the year.

If you are unsure about your entrance exam rank, you may still get admission depending on counselling rounds and seat availability. If you are interested in computers, programming, logical thinking, and learning business-related subjects along with technology, CSBS can be a suitable and practical choice for your future.
Hope this helps you.

Hello,

The session 1 of JEE mains exam is starting from January 21 to 30, 2026 and session 2 from April 2 to 9, 2026. The format for this examination is computer based. This prestigious engineering examination conducted by National Testing Agency is a first step towards getting an admission in one the IIT's, later through JEE Advanced.

https://engineering.careers360.com/articles/jee-main-exam-dates

Thank you.

Hello,

You can access the JEE Main 2026 sample papers (Physics, Chemistry, and Mathematics) with answer keys from the mentioned link below:

https://engineering.careers360.com/articles/jee-main-sample-papers

Hope it helps.

Hello,
If you mistakenly registered as a General category candidate for JEE Mains 2026, but you actually belong to OBC-NCL, you cannot change the category unless the correction window specifically allows category correction. The National Testing Agency (NTA) sometimes provides the option to edit category during the correction window, but this is not guaranteed every year.

If category correction is allowed, you can upload your valid OBC-NCL certificate and update your category. If the correction window does not allow changing the category, then you will have to appear as a General category candidate for that attempt and will not be able to claim OBC-NCL reservation benefits for that session.

Make sure to keep checking the official correction notice to see which fields can be edited.
Hope this helps you.