JEE Advanced 2024 Paper 1 Online
Paper was held on Sun, May 26, 2024 3:30 AM
View Questions

Chemistry

A closed vessel contains $10 \mathrm{~g}$ of an ideal gas $\mathbf{X}$ at $300 \mathrm{~K}$, which exerts $2 \mathrm{~at
View Question
At room temperature, disproportionation of an aqueous solution of in situ generated nitrous acid $\left(\mathrm{HNO}_2\r
View Question
Aspartame, an artificial sweetener, is a dipeptide aspartyl phenylalanine methyl ester. The structure of aspartame is
View Question
Among the following options, select the option in which each complex in Set-I shows geometrical isomerism and the two co
View Question
Among the following, the correct statement(s) for electrons in an atom is(are)
View Question
Reaction of iso-propylbenzene with $\mathrm{O}_2$ followed by the treatment with $\mathrm{H}_3 \mathrm{O}^{+}$forms phen
View Question
The option(s) in which at least three molecules follow Octet Rule is(are)
View Question
Consider the following volume-temperature $(\mathrm{V}-\mathrm{T})$ diagram for the expansion of 5 moles of an ideal mon
View Question
Consider the following reaction, $$ 2 \mathrm{H}_2(\mathrm{~g})+2 \mathrm{NO}(\mathrm{g}) \rightarrow \mathrm{N}_2(\mat
View Question
Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. $\mathrm{NaOH}$ solution, gives $\ma
View Question
Among $\mathrm{V}(\mathrm{CO})_6, \mathrm{Cr}(\mathrm{CO})_5, \mathrm{Cu}(\mathrm{CO})_3, \mathrm{Mn}(\mathrm{CO})_5, \m
View Question
In the following reaction sequence, the major product $\mathbf{P}$ is formed. Glycerol reacts completely with excess $\
View Question
Among the following complexes, the total number of diamagnetic species is ___________. $\left[\mathrm{Mn}\left(\mathrm{N
View Question
In a conductometric titration, small volume of titrant of higher concentration is added stepwise to a larger volume of t
View Question
Based on VSEPR model, match the xenon compounds given in List-I with the corresponding geometries and the number of lone
View Question
List-I contains various reaction sequences and List-II contains the possible products. Match each entry in List-I with t
View Question
List-I contains various reaction sequences and List-II contains different phenolic compounds. Match each entry in List-I
View Question

Mathematics

Let $f(x)$ be a continuously differentiable function on the interval $(0, \infty)$ such that $f(1)=2$ and $$ \lim\limit
View Question
A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student kno
View Question
Let $\frac{\pi}{2} $$ \left(\sin \frac{11 x}{2}\right)(\sin 6 x-\cos 6 x)+\left(\cos \frac{11 x}{2}\right)(\sin 6 x+\c
View Question
Consider the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$. Let $S(p, q)$ be a point in the first quadrant such that $\frac{p^
View Question
Let $S=\{a+b \sqrt{2}: a, b \in \mathbb{Z}\}, T_1=\left\{(-1+\sqrt{2})^n: n \in \mathbb{N}\right\}$, and $T_2=\left\{(1+
View Question
Let $\mathbb{R}^2$ denote $\mathbb{R} \times \mathbb{R}$. Let $$ S=\left\{(a, b, c): a, b, c \in \mathbb{R} \text { and
View Question
Let $\mathbb{R}^3$ denote the three-dimensional space. Take two points $P=(1,2,3)$ and $Q=(4,2,7)$. Let $\operatorname{d
View Question
Let $a=3 \sqrt{2}$ and $b=\frac{1}{5^{1 / 6} \sqrt{6}}$. If $x, y \in \mathbb{R}$ are such that $$ \begin{aligned} & 3
View Question
Let $f(x)=x^4+a x^3+b x^2+c$ be a polynomial with real coefficients such that $f(1)=-9$. Suppose that $i \sqrt{3}$ is a
View Question
Let $S=\left\{A=\left(\begin{array}{lll}0 & 1 & c \\ 1 & a & d \\ 1 & b & e\end{array}\right): a, b, c, d, e \in\{0,1\}\
View Question
A group of 9 students, $s_1, s_2, \ldots, s_9$, is to be divided to form three teams $X, Y$, and $Z$ of sizes 2,3 , and
View Question
Let $\overrightarrow{O P}=\frac{\alpha-1}{\alpha} \hat{i}+\hat{j}+\hat{k}, \overrightarrow{O Q}=\hat{i}+\frac{\beta-1}{\
View Question
Let $X$ be a random variable, and let $P(X=x)$ denote the probability that $X$ takes the value $x$. Suppose that the poi
View Question
Let $\alpha$ and $\beta$ be the distinct roots of the equation $x^2+x-1=0$. Consider the set $T=\{1, \alpha, \beta\}$. F
View Question
Let the straight line $y=2 x$ touch a circle with center $(0, \alpha), \alpha>0$, and radius $r$ at a point $A_1$. Let $
View Question
Let $\gamma \in \mathbb{R}$ be such that the lines $L_1: \frac{x+11}{1}=\frac{y+21}{2}=\frac{z+29}{3}$ and $L_2: \frac{x
View Question
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ and $g: \mathbb{R} \rightarrow \mathbb{R}$ be functions defined by $$ f(x)=\
View Question

Physics

A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space $\varepsilon_0$, P
View Question
An infinitely long wire, located on the $z$-axis, carries a current $I$ along the $+z$-direction and produces the magnet
View Question
Two beads, each with charge $q$ and mass $m$, are on a horizontal, frictionless, non-conducting, circular hoop of radius
View Question
A block of mass $5 \mathrm{~kg}$ moves along the $x$-direction subject to the force $F=(-20 x+10) \mathrm{N}$, with the
View Question
A particle of mass $m$ is moving in a circular orbit under the influence of the central force $F(r)=-k r$, corresponding
View Question
Two uniform strings of mass per unit length $\mu$ and $4 \mu$, and length $L$ and $2 L$, respectively, are joined at poi
View Question
A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature
View Question
The specific heat capacity of a substance is temperature dependent and is given by the formula $C=k T$, where $k$ is a c
View Question
A disc of mass $M$ and radius $R$ is free to rotate about its vertical axis as shown in the figure. A battery operated m
View Question
A point source $\mathrm{S}$ emits unpolarized light uniformly in all directions. At two points $\mathrm{A}$ and $\mathrm
View Question
A source (S) of sound has frequency $240 \mathrm{~Hz}$. When the observer (O) and the source move towards each other at
View Question
Two large, identical water tanks, 1 and 2 , kept on the top of a building of height $H$, are filled with water up to hei
View Question
A thin uniform rod of length $L$ and certain mass is kept on a frictionless horizontal table with a massless string of l
View Question
One mole of a monatomic ideal gas undergoes the cyclic process $\mathrm{J} \rightarrow \mathrm{K} \rightarrow \mathrm{L}
View Question
Four identical thin, square metal sheets, $S_1, S_2, S_3$ and $S_4$, each of side $a$ are kept parallel to each other wi
View Question
A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence $\theta_0$. The ray
View Question
The circuit shown in the figure contains an inductor $L$, a capacitor $C_0$, a resistor $R_0$ and an ideal battery. The
View Question
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12