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JEE Main 2025 January 28 Shift 2 Question Paper with Solutions Available - Download PDF
Edited By Shivani Poonia | Updated on Feb 04, 2025 06:12 PM IST | #JEE Main
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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
Have a question related to JEE Main ?
With 64 percentile and a CRL rank around 5.4 lakh in JEE Mains 2025, getting admission in any NIT or IIIT is very unlikely, especially in the general category. Most NITs close their admissions below a rank of 1.5 lakh, and even the newer NITs usually fill seats by around 3 to 3.5 lakh rank. IIITs generally have closing ranks below 3 lakh.
Instead, you can try for state government engineering colleges through your state counselling or look for private engineering colleges that have lower cutoff ranks. Another option is to explore management quota or direct admission routes if available.
harsh singh 05 June,2025
HEY THERE!!!
- Given a JEE B.Arch rank of approximately 30,000 in the general category, gaining admission to DCRUST for B.Arch is, frankly ,not feasible .
- The university’s recent cutoffs are far more competitive; for instance, the round 1 cutoff for the general category in 2024 was only 36.
- Your rank is significantly above this threshold, so admission to DCRUST with your current standing is highly improbable.
- It would be advisable to explore alternative institutions or consider other academic pathways.
Tanisha chaudhary 05 June,2025
Hello Aspirant,
If your B.Arch rank is approximately 30,000 in JEE in general category, it might not be easy to get admission into DR-CUET (Delhi Regional Centre of the Central University of Technology) or comparable or significantly better institutions, and therefore, the cut-off is much earlier for general candidates in good reputation colleges at about a range of 5000-15,000 rank. That said, you may still have a chance at newer or even less reputed NITs, SPAs, or GFTIs as an option at JOSAA or CSAB; you are recommended to apply in all rounds of counselling, keep open state-level architecture colleges too, and explore private universities that are accepting NATA or JEE B.Arch scores.
gopi 05 June,2025
With a JEE B.Arch rank of 30,000, getting admission in DCRUST is not possible because their cutoff ranks are much lower and they mainly consider NATA scores, not JEE Paper 2.
You can try these options instead:
Apply to other colleges accepting NATA scores.
Consider management quota seats in private colleges.
Prepare and appear for NATA exam for better chances.
harsh singh 05 June,2025
With a JEE Advanced rank of 20,340, your son can likely get admission in newer IITs like IIT Bhubaneswar, Gandhinagar, Ropar, Mandi, Indore, Patna, or Jodhpur, mostly in less competitive branches.
Top IITs and popular branches like CS or ECE are unlikely.
harsh singh 05 June,2025
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