Practice/Question bank/JEE Advanced

JEE Advanced practice questions

IIT-level single/multiple correct and numericals from past papers. 713 questions in the bank.

1. 1A particle of mass $1 \mathrm{~kg}$ is subjected to a force which depends on the position as $\vec{F}=$ $-k(x \hat{i}+y \hat{j}) k g…Physics· JEE Adv 2022 Paper 2· Challenging
2. 2In a radioactive decay chain reaction, ${ }_{90}^{230} \mathrm{Th}$ nucleus decays into ${ }_{84}^{214} \mathrm{Po}$ nucleus. What is the…Physics· JEE Adv 2022 Paper 2· Challenging
3. 3In the chemical reaction between stoichiometric quantities of $\mathrm{KMnO}_{4}$ and $\mathrm{KI}$ in weakly basic solution, what is the…Chemistry· JEE Adv 2020 Paper 2· Challenging
4. 4In a particular system of units, a physical quantity can be expressed in terms of the electric charge $e$, electron mass $m_{e}$, Planck's…Physics· JEE Adv 2022 Paper 2· Challenging
5. 5At time $t=0$, a disk of radius $1 \mathrm{~m}$ starts to roll without slipping on a horizontal plane with an angular acceleration of…Physics· JEE Adv 2022 Paper 1· Challenging
6. 6An organic compound $\left(\mathrm{C}_{8} \mathrm{H}_{10} \mathrm{O}_{2}\right)$ rotates plane-polarized light. It produces pink color with…Chemistry· JEE Adv 2020 Paper 2· Challenging
7. 7A Hydrogen-like atom has atomic number $Z$. Photons emitted in the electronic transitions from level $n=4$ to level $n=3$ in these atoms…Physics· JEE Adv 2023 Paper 1· Challenging
8. 8A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to gravity is $g$, the…Physics· JEE Adv 2022 Paper 1· Challenging
9. 9A string of length $1 \mathrm{~m}$ and mass $2 \times 10^{-5} \mathrm{~kg}$ is under tension $T$. When the string vibrates, two successive…Physics· JEE Adv 2023 Paper 2· Challenging
10. 10A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas $(\gamma=5 / 3)$ and one mole of an ideal diatomic…Physics· JEE Adv 2023 Paper 1· Challenging
11. 11In a radioactive decay process, the activity is defined as $A=-\frac{d N}{d t}$, where $N(t)$ is the number of radioactive nuclei at time…Physics· JEE Adv 2023 Paper 2· Challenging
12. 12A sample $(5.6 \mathrm{~g})$ containing iron is completely dissolved in cold dilute $\mathrm{HCl}$ to prepare a $250 \mathrm{~mL}$ of…Chemistry· JEE Adv 2021 Paper 2· Challenging
13. 13$5.00 \mathrm{~mL}$ of $0.10 \mathrm{M}$ oxalic acid solution taken in a conical flask is titrated against $\mathrm{NaOH}$ from a burette…Chemistry· JEE Adv 2020 Paper 1· Challenging
14. 14Liquids $\mathbf{A}$ and $\mathbf{B}$ form ideal solution for all compositions of $\mathbf{A}$ and $\mathbf{B}$ at $25^{\circ} \mathrm{C}$.…Chemistry· JEE Adv 2020 Paper 2· Challenging
15. 15Consider a 70\% efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and $298 \mathrm{~K}$. Its cell reaction is…Chemistry· JEE Adv 2020 Paper 1· Challenging
16. 16Aluminium reacts with sulfuric acid to form aluminium sulfate and hydrogen. What is the volume of hydrogen gas in liters (L) produced at…Chemistry· JEE Adv 2020 Paper 1· Challenging
17. 17What is the maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of 1-methylcyclohex-1-ene…Chemistry· JEE Adv 2021 Paper 1· Challenging
18. 18Consider a helium (He) atom that absorbs a photon of wavelength $330 \mathrm{~nm}$. What is the change in the velocity (in $\mathrm{cm}…Chemistry· JEE Adv 2021 Paper 2· Challenging
19. 19For a complex number $z$, let $\operatorname{Re}(z)$ denote the real part of $z$. Let $S$ be the set of all complex numbers $z$ satisfying…Mathematics· JEE Adv 2020 Paper 2· Challenging
20. 20The probability that a missile hits a target successfully is 0.75 . In order to destroy the target completely, at least three successful…Mathematics· JEE Adv 2020 Paper 2· Challenging
21. 21Let $O$ be the centre of the circle $x^{2}+y^{2}=r^{2}$, where $r>\frac{\sqrt{5}}{2}$. Suppose $P Q$ is a chord of this circle and the…Mathematics· JEE Adv 2020 Paper 2· Challenging
22. 22The trace of a square matrix is defined to be the sum of its diagonal entries. If $A$ is a $2 \times 2$ matrix such that the trace of $A$…Mathematics· JEE Adv 2020 Paper 2· Challenging
23. 23Three numbers are chosen at random, one after another with replacement, from the set $S=\{1,2,3, \ldots, 100\}$. Let $p_1$ be the…Mathematics· JEE Adv 2021 Paper 1· Challenging
24. 24Three numbers are chosen at random, one after another with replacement, from the set $S=\{1,2,3, \ldots, 100\}$. Let $p_1$ be the…Mathematics· JEE Adv 2021 Paper 1· Challenging