JEE Main 2022 (Online) 25th July Morning Shift

Paper was held on
Mon, Jul 25, 2022 3:30 AM

## Chemistry

$$\mathrm{SO}_{2} \mathrm{Cl}_{2}$$ on reaction with excess of water results into acidic mixture
$$\mathrm{SO}_{2} \mat

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Which of the following sets of quantum numbers is not allowed?

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The depression in freezing point observed for a formic acid solution of concentration $$0.5 \mathrm{~mL} \mathrm{~L}^{-1

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$$20 \mathrm{~mL}$$ of $$0.1\, \mathrm{M} \,\mathrm{NH}_{4} \mathrm{OH}$$ is mixed with $$40 \mathrm{~mL}$$ of $$0.05 \m

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Match List I with List II
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The IUPAC nomenclature of an element with electronic configuration [Rn] $$5 \mathrm{f}^{14} 6 \mathrm{d}^{1} 7 \mathrm{s

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The compound(s) that is (are) removed as slag during the extraction of copper is :
(A) CaO
(B) FeO
(C) Al2O3
(D) ZnO
(E)

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The reaction of $$\mathrm{H}_{2} \mathrm{O}_{2}$$ with potassium permanganate in acidic medium leads to the formation of

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Choose the correct order of density of the alkali metals:

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The geometry around boron in the product 'B' formed from the following reaction is
$$
\begin{aligned}
&\mathrm{BF}_{3}+\

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The interhalogen compound formed from the reaction of bromine with excess of fluorine is a :

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The photochemical smog does not generally contain:

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A compound ‘$$\mathrm{A}$$’ on reaction with ‘$$\mathrm{X}$$’ and ‘$$\mathrm{Y}$$’ produces the same major product but d

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Most stable product of the following reaction is:

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Which one of the following reactions does not represent correct combination of substrate and product under the given con

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An organic compound 'A' on reaction with NH3 followed by heating gives compound B. Which on further strong heating gives

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Melamine polymer is formed by the condensation of:

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During the denaturation of proteins, which of these structures will remain intact?

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Drugs used to bind to receptors, inhibiting is natural function and blocking a message are called:

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Given below are two statements :
Statement I : On heating with $$\mathrm{KHSO}_{4}$$, glycerol is dehydrated and acrolei

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Among the following species
$$\mathrm{N}_{2}, \mathrm{~N}_{2}^{+}, \mathrm{N}_{2}^{-}, \mathrm{N}_{2}^{2-}, \mathrm{O}_{

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The enthalpy of combustion of propane, graphite and dihydrogen at $$298 \mathrm{~K}$$ are $$-2220.0 \mathrm{~kJ} \mathrm

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The pressure of a moist gas at $$27^{\circ} \mathrm{C}$$ is $$4 \mathrm{~atm}$$. The volume of the container is doubled

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The cell potential for $$\mathrm{Zn}\left|\mathrm{Zn}^{2+}(\mathrm{aq})\right|\left|\mathrm{Sn}^{x+}\right| \mathrm{Sn}$

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The half life for the decomposition of gaseous compound $$\mathrm{A}$$ is $$240 \mathrm{~s}$$ when the gaseous pressure

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Consider the following metal complexes :
$$\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}$$
$$\left[\math

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Among Co3+, Ti2+, V2+ and Cr2+ ions, one if used as a reagent cannot liberate H2 from dilute mineral acid solution, its

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While estimating the nitrogen present in an organic compound by Kjeldahl's method, the ammonia evolved from $$0.25 \math

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The number of sp3 hybridised carbons in an acyclic neutral compound with molecular formula C4H5N is ___________.

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In the given reaction
The number of chiral carbon/s in product A is ___________.

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## Mathematics

The total number of functions,
$$
f:\{1,2,3,4\} \rightarrow\{1,2,3,4,5,6\}
$$
such that $$f(1)+f(2)=f(3)$$, is equal to

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If $$\alpha, \beta, \gamma, \delta$$ are the roots of the equation $$x^{4}+x^{3}+x^{2}+x+1=0$$, then $$\alpha^{2021}+\be

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For $$\mathrm{n} \in \mathbf{N}$$, let $$\mathrm{S}_{\mathrm{n}}=\left\{z \in \mathbf{C}:|z-3+2 i|=\frac{\mathrm{n}}{4}\

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The number of $$\theta \in(0,4 \pi)$$ for which the system of linear equations
$$
\begin{aligned}
&3(\sin 3 \theta) x-y

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If $$\mathop {\lim }\limits_{n \to \infty } \left( {\sqrt {{n^2} - n - 1} + n\alpha + \beta } \right) = 0$$, then $$8(

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If the absolute maximum value of the function $$f(x)=\left(x^{2}-2 x+7\right) \mathrm{e}^{\left(4 x^{3}-12 x^{2}-180 x+3

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The curve $$y(x)=a x^{3}+b x^{2}+c x+5$$ touches the $$x$$-axis at the point $$\mathrm{P}(-2,0)$$ and cuts the $$y$$-axi

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The area of the region given by
$$A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}$$ is :

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For any real number $$x$$, let $$[x]$$ denote the largest integer less than equal to $$x$$. Let $$f$$ be a real valued f

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The slope of the tangent to a curve $$C: y=y(x)$$ at any point $$(x, y)$$ on it is $$\frac{2 \mathrm{e}^{2 x}-6 \mathrm{

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The general solution of the differential equation $$\left(x-y^{2}\right) \mathrm{d} x+y\left(5 x+y^{2}\right) \mathrm{d}

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A line, with the slope greater than one, passes through the point $$A(4,3)$$ and intersects the line $$x-y-2=0$$ at the

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Let the locus of the centre $$(\alpha, \beta), \beta>0$$, of the circle which touches the circle $$x^{2}+(y-1)^{2}=1$$ e

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Let $$\mathrm{P}$$ be the plane containing the straight line $$\frac{x-3}{9}=\frac{y+4}{-1}=\frac{z-7}{-5}$$ and perpend

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Let $$\mathrm{ABC}$$ be a triangle such that $$\overrightarrow{\mathrm{BC}}=\overrightarrow{\mathrm{a}}, \overrightarrow

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If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probabi

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If the numbers appeared on the two throws of a fair six faced die are $$\alpha$$ and $$\beta$$, then the probability tha

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The number of solutions of $$|\cos x|=\sin x$$, such that $$-4 \pi \leq x \leq 4 \pi$$ is :

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A tower PQ stands on a horizontal ground with base $$Q$$ on the ground. The point $$R$$ divides the tower in two parts s

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Which of the following statements is a tautology ?

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Let $$A=\left(\begin{array}{rrr}2 & -1 & -1 \\ 1 & 0 & -1 \\ 1 & -1 & 0\end{array}\right)$$ and $$B=A-I$$. If $$\omega=\

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The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dicti

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If the maximum value of the term independent of $$t$$ in the expansion of $$\left(\mathrm{t}^{2} x^{\frac{1}{5}}+\frac{(

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Let $$a, b$$ be two non-zero real numbers. If $$p$$ and $$r$$ are the roots of the equation $$x^{2}-8 \mathrm{a} x+2 \ma

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Let $$a_{1}=b_{1}=1, a_{n}=a_{n-1}+2$$ and $$b_{n}=a_{n}+b_{n-1}$$ for every natural number $$n \geqslant 2$$. Then $$\s

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Let $$f(x)=\left\{\begin{array}{l}\left|4 x^{2}-8 x+5\right|, \text { if } 8 x^{2}-6 x+1 \geqslant 0 \\ {\left[4 x^{2}-8

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$$
\begin{aligned}
&\text { If } \lim _{n \rightarrow \infty} \frac{(n+1)^{k-1}}{n^{k+1}}[(n k+1)+(n k+2)+\ldots+(n k+n)

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Let the equation of two diameters of a circle $$x^{2}+y^{2}-2 x+2 f y+1=0$$ be $$2 p x-y=1$$ and $$2 x+p y=4 p$$. Then t

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The sum of diameters of the circles that touch (i) the parabola $$75 x^{2}=64(5 y-3)$$ at the point $$\left(\frac{8}{5},

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The line of shortest distance between the lines $$\frac{x-2}{0}=\frac{y-1}{1}=\frac{z}{1}$$ and $$\frac{x-3}{2}=\frac{y-

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## Physics

If momentum [P], area $$[\mathrm{A}]$$ and time $$[\mathrm{T}]$$ are taken as fundamental quantities, then the dimension

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Which of the following physical quantities have the same dimensions?

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A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $$60 \mathrm{~m}$$

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A body of mass $$0.5 \mathrm{~kg}$$ travels on straight line path with velocity $$v=\left(3 x^{2}+4\right) \mathrm{m} /

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A solid cylinder and a solid sphere, having same mass $$M$$ and radius $$R$$, roll down the same inclined plane from top

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Three identical particles $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ of mass $$100 \mathrm{~kg}$$ each are placed in

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A certain amount of gas of volume $$\mathrm{V}$$ at $$27^{\circ} \mathrm{C}$$ temperature and pressure $$2 \times 10^{7}

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Following statements are given :
(A) The average kinetic energy of a gas molecule decreases when the temperature is redu

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In figure $$(\mathrm{A})$$, mass '$$2 \mathrm{~m}^{\text {' }}$$ is fixed on mass '$$\mathrm{m}$$ ' which is attached t

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A condenser of $$2 \,\mu \mathrm{F}$$ capacitance is charged steadily from 0 to $$5 \,\mathrm{C}$$. Which of the followi

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Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to

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To increase the resonant frequency in series LCR circuit,

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A small square loop of wire of side $$l$$ is placed inside a large square loop of wire $$\mathrm{L}(\mathrm{L}>>l)

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The rms value of conduction current in a parallel plate capacitor is $$6.9 \,\mu \mathrm{A}$$. The capacity of this capa

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Which of the following statement is correct?

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Time taken by light to travel in two different materials $$A$$ and $$B$$ of refractive indices $$\mu_{A}$$ and $$\mu_{B}

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A metal exposed to light of wavelength $$800 \mathrm{~nm}$$ and and emits photoelectrons with a certain kinetic energy.

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The momentum of an electron revolving in $$\mathrm{n}^{\text {th }}$$ orbit is given by :
(Symbols have their usual mean

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The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by

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In the circuit, the logical value of $$A=1$$ or $$B=1$$ when potential at $$A$$ or $$B$$ is $$5 \mathrm{~V}$$ and the lo

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A car is moving with speed of $$150 \mathrm{~km} / \mathrm{h}$$ and after applying the break it will move $$27 \mathrm{~

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Four forces are acting at a point $$\mathrm{P}$$ in equilibrium as shown in figure. The ratio of force $$\mathrm{F}_{1}$

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A wire of length $$\mathrm{L}$$ and radius $$\mathrm{r}$$ is clamped rigidly at one end. When the other end of the wire

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A unit scale is to be prepared whose length does not change with temperature and remains $$20 \mathrm{~cm}$$, using a bi

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An observer is riding on a bicycle and moving towards a hill at $$18 \,\mathrm{kmh}^{-1}$$. He hears a sound from a sour

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The volume charge density of a sphere of radius $$6 \mathrm{~m}$$ is $$2 \,\mu \mathrm{C} \,\mathrm{cm}^{-3}$$. The numb

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In the given figure, the value of Vo will be _____________ V.

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Eight copper wire of length $$l$$ and diameter $$d$$ are joined in parallel to form a single composite conductor of resi

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The energy band gap of semiconducting material to produce violet (wavelength = 4000$$\mathop A\limits^o $$ ) LED is ____

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The required height of a TV tower which can cover the population of $$6.03$$ lakh is $$h$$. If the average population de

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