Exam Details
JEE ADVANCED 2023 PAPER 2 ONLINE
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Questions
51
Duration
180 mins
Package
IIT-JEE Advance - Previous Year Papers
Paper pattern & analysis
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Topic distribution
Subtopic distribution
Difficulty distribution
51questions
Medium
25
49%
Hard
23
45.1%
Easy
3
5.9%
Question type distribution
51questions
Numerical Answer Type (NAT)
30
58.8%
Multiple Choices
21
41.2%
Syllabus
Full Syllabus
Sample questions from this paper
Questions are selected across the paper subjects wherever the paper contains that variety.
2023 · Physics · Mechanics · Heat And Thermodynamics
JEE ADVANCED 2023 PAPER 2 ONLINE
When the chimney is closed using a cap at the top, a pressure difference $\Delta P$ develops between the top and the bottom surfaces of the cap. If the changes in the temperature and density of the hot air, due to the stoppage of air flow, are negligible then the value of $\Delta P$ is __________ $\mathrm{N} \mathrm{m}^{-2}$.
Enter a numerical response
2023 · Chemistry · Inorganic Chemistry · Chemical Bonding And Molecular Structure
JEE ADVANCED 2023 PAPER 2 ONLINE
Consider the following molecules: $\mathrm{Br}_3 \mathrm{O}_8, \mathrm{~F}_2 \mathrm{O}, \mathrm{H}_2 \mathrm{S}_4 \mathrm{O}_6, \mathrm{H}_2 \mathrm{S}_5 \mathrm{O}_6$, and $\mathrm{C}_3 \mathrm{O}_2$. Count the number of atoms existing in their zero oxidation state in each molecule.
Their sum is _______.
Their sum is _______.
Enter a numerical response
2023 · Mathematics · Algebra · Matrices And Determinants
JEE ADVANCED 2023 PAPER 2 ONLINE
Let $R=\left\{\left(\begin{array}{lll}a & 3 & b \\ c & 2 & d \\ 0 & 5 & 0\end{array}\right): a, b, c, d \in\{0,3,5,7,11,13,17,19\}\right\}$.
Then the number of invertible matrices in $R$ is :
Then the number of invertible matrices in $R$ is :
Enter a numerical response
2023 · Physics · Mechanics · Rotational Motion
JEE ADVANCED 2023 PAPER 2 ONLINE
A thin circular coin of mass $5 \mathrm{gm}$ and radius $4 / 3 \mathrm{~cm}$ is initially in a horizontal $x y$-plane. The coin is tossed vertically up ( $+z$ direction) by applying an impulse of $\sqrt{\frac{\pi}{2}} \times 10^{-2} \mathrm{~N}$-s at a distance $2 / 3 \mathrm{~cm}$ from its center. The coin spins about its diameter and moves along the $+z$ direction. By the time the coin reaches back to its initial position, it completes $n$ rotations. The value of $n$ is ________.
[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]
[Given: The acceleration due to gravity $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ ]
Enter a numerical response
2023 · Chemistry · Physical Chemistry · Solutions
JEE ADVANCED 2023 PAPER 2 ONLINE
$50 \mathrm{~mL}$ of 0.2 molal urea solution (density $=1.012 \mathrm{~g} \mathrm{~mL}^{-1}$ at $300 \mathrm{~K}$ ) is mixed with $250 \mathrm{~mL}$ of a solution containing $0.06 \mathrm{~g}$ of urea. Both the solutions were prepared in the same solvent. The osmotic pressure (in Torr) of the resulting solution at $300 \mathrm{~K}$ is _______.
[Use: Molar mass of urea $=60 \mathrm{~g} \mathrm{~mol}^{-1}$; gas constant, $\mathrm{R}=62$ L Torr $\mathrm{K}^{-1} \mathrm{~mol}^{-1}$;
Assume, $\Delta_{\text {mix }} \mathrm{H}=0, \Delta_{\text {mix }} \mathrm{V}=0$ ]
[Use: Molar mass of urea $=60 \mathrm{~g} \mathrm{~mol}^{-1}$; gas constant, $\mathrm{R}=62$ L Torr $\mathrm{K}^{-1} \mathrm{~mol}^{-1}$;
Assume, $\Delta_{\text {mix }} \mathrm{H}=0, \Delta_{\text {mix }} \mathrm{V}=0$ ]
Enter a numerical response
2023 · Mathematics · Algebra · Probability
JEE ADVANCED 2023 PAPER 2 ONLINE
Let $X$ be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in $X$ while 02244 and 44422 are not in $X$. Suppose that each element of $X$ has an equal chance of being chosen. Let $p$ be the conditional probability that an element chosen at random is a multiple of 20 given that it is a multiple of 5 . Then the value of $38 p$ is equal to :
Enter a numerical response