JEE Advanced 2022 Paper 1 Online

Paper was held on
Sun, Aug 28, 2022 3:30 AM

## Chemistry

$2 \mathrm{~mol} \,\mathrm{of}\, \mathrm{Hg}(\mathrm{g})$ is combusted in a fixed volume bomb calorimeter with excess of

View Question The reduction potential $\left(E^{0}\right.$, in $\left.\mathrm{V}\right)$ of $\mathrm{MnO}_{4}^{-}(\mathrm{aq}) / \math

View Question A solution is prepared by mixing $0.01 \mathrm{~mol}$ each of $\mathrm{H}_{2} \mathrm{CO}_{3}, \mathrm{NaHCO}_{3}, \math

View Question The treatment of an aqueous solution of $3.74 \mathrm{~g}$ of $\mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}$ with excess

View Question Dissolving $1.24 \mathrm{~g}$ of white phosphorous in boiling $\mathrm{NaOH}$ solution in an inert atmosphere gives a ga

View Question Consider the following reaction.
On estimation of bromine in $1.00 \mathrm{~g}$ of $\mathbf{R}$ using Carius method, th

View Question The weight percentage of hydrogen in $\mathbf{Q}$, formed in the following reaction sequence, is ________.
[Given: Ato

View Question If the reaction sequence given below is carried out with 15 moles of acetylene, the amount of the product $\mathbf{D}$ f

View Question For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two $2 p_{z}$ orb

View Question The correct option(s) related to adsorption processes is(are)

View Question The electrochemical extraction of aluminum from bauxite ore involves

View Question The treatment of galena with $\mathrm{HNO}_{3}$ produces a gas that is

View Question Considering the reaction sequence given below, the correct statement(s) is(are)

View Question Considering the following reaction sequence,
the correct option(s) is(are)

View Question Match the rate expressions in LIST-I for the decomposition of $X$ with the corresponding profiles provided in LIST-II. $

View Question LIST-I contains compounds and LIST-II contains reactions
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View Question LIST-I contains metal species and LIST-II contains their properties.
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View Question Match the compounds in LIST-I with the observations in LIST-II, and choose the correct option.
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View Question ## Mathematics

Considering only the principal values of the inverse trigonometric functions, the value of
$$
\frac{3}{2} \cos ^{-1} \s

View Question Let $$\alpha$$ be a positive real number. Let $$f: \mathbb{R} \rightarrow \mathbb{R}$$ and $$g:(\alpha, \infty) \rightar

View Question In a study about a pandemic, data of 900 persons was collected. It was found that
190 persons had symptom of fever,
22

View Question Let $$z$$ be a complex number with a non-zero imaginary part. If
$$
\frac{2+3 z+4 z^{2}}{2-3 z+4 z^{2}}
$$
is a real n

View Question Let $$\bar{z}$$ denote the complex conjugate of a complex number $$z$$ and let $$i=\sqrt{-1}$$. In the set of complex nu

View Question Let $$l_{1}, l_{2}, \ldots, l_{100}$$ be consecutive terms of an arithmetic progression with common difference $$d_{1}$$

View Question The number of 4-digit integers in the closed interval [2022, 4482] formed by using the digits $$0,2,3,4,6,7$$ is _______

View Question Let $$A B C$$ be the triangle with $$A B=1, A C=3$$ and $$\angle B A C=\frac{\pi}{2}$$. If a circle of radius $$r>0$$ to

View Question Consider the equation
$$
\int_{1}^{e} \frac{\left(\log _{\mathrm{e}} x\right)^{1 / 2}}{x\left(a-\left(\log _{\mathrm{e}}

View Question Let $$a_{1}, a_{2}, a_{3}, \ldots$$ be an arithmetic progression with $$a_{1}=7$$ and common difference 8. Let $$T_{1},

View Question Let $$P_{1}$$ and $$P_{2}$$ be two planes given by
$$
\begin{aligned}
&P_{1}: 10 x+15 y+12 z-60=0 \\\\
&P_{2}:-2 x+5 y+

View Question Let $$S$$ be the reflection of a point $$Q$$ with respect to the plane given by
$$
\vec{r}=-(t+p) \hat{\imath}+t \hat{\

View Question Consider the parabola $$y^{2}=4 x$$. Let $$S$$ be the focus of the parabola. A pair of tangents drawn to the parabola fr

View Question Let $$|M|$$ denote the determinant of a square matrix $$M$$. Let $$g:\left[0, \frac{\pi}{2}\right] \rightarrow \mathbb{R

View Question Consider the following lists :
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View Question Two players, $$P_{1}$$ and $$P_{2}$$, play a game against each other. In every round of the game, each player rolls a fa

View Question Let $$p, q, r$$ be nonzero real numbers that are, respectively, the $$10^{\text {th }}, 100^{\text {th }}$$ and $$1000^

View Question Consider the ellipse
$$$
\frac{x^{2}}{4}+\frac{y^{2}}{3}=1
$$$
Let $H(\alpha, 0), 0
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View Question ## Physics

Two spherical stars $A$ and $B$ have densities $\rho_{A}$ and $\rho_{B}$, respectively. $A$ and $B$ have the same radius

View Question The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction ${ }_{7}^{16} \mathrm{~N}+$ ${ }_{2

View Question In the following circuit $C_{1}=12 \mu F, C_{2}=C_{3}=4 \mu F$ and $C_{4}=C_{5}=2 \mu F$. The charge stored in $C_{3}$ i

View Question A rod of length $2 \mathrm{~cm}$ makes an angle $\frac{2 \pi}{3} \mathrm{rad}$ with the principal axis of a thin convex

View Question At time $t=0$, a disk of radius $1 \mathrm{~m}$ starts to roll without slipping on a horizontal plane with an angular ac

View Question A solid sphere of mass $1 \mathrm{~kg}$ and radius $1 \mathrm{~m}$ rolls without slipping on a fixed inclined plane with

View Question Consider an LC circuit, with inductance $L=0.1 \,\mathrm{H}$ and capacitance $C=10^{-3} \mathrm{~F}$, kept on a plane. T

View Question A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to

View Question A medium having dielectric constant $K>1$ fills the space between the plates of a parallel plate capacitor. The plate

View Question The figure shows a circuit having eight resistances of $1 \Omega$ each, labelled $R_{1}$ to $R_{8}$, and two ideal batte

View Question An ideal gas of density $\rho=0.2 \mathrm{~kg} \mathrm{~m}^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=$

View Question Three plane mirrors form an equilateral triangle with each side of length $L$. There is a small hole at a distance $l>

View Question Six charges are placed around a regular hexagon of side length $a$ as shown in the figure. Five of them have charge $q$,

View Question The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons

View Question A small circular loop of area $A$ and resistance $R$ is fixed on a horizontal $x y$-plane with the center of the loop al

View Question List I describes four systems, each with two particles $A$ and $B$ in relative motion as shown in figures. List II gives

View Question List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as

View Question List I contains four combinations of two lenses (1 and 2) whose focal lengths (in $\mathrm{cm}$ ) are indicated in the f

View Question