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

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

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

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

View Question
Match List I with List II
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:soli

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

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

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

View Question
Choose the correct order of density of the alkali metals :

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

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

View Question
The photochemical smog does not generally contain :

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

View Question
Most stable product of the following reaction is:

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

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

View Question
Melamine polymer is formed by the condensation of:

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question
## 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

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

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

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

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

View Question
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

View Question
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

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

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

View Question
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{

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

View Question
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

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

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

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

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

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

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

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

View Question
Which of the following statements is a tautology ?

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

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

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

View Question
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

View Question
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

View Question
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

View Question
$$
\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)

View Question
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

View Question
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},

View Question
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-

View Question
## Physics

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

View Question
Which of the following physical quantities have the same dimensions?

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

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

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

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

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

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

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

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

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

View Question
To increase the resonant frequency in series LCR circuit,

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

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

View Question
Which of the following statement is correct?

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

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

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

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

View Question
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

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

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

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

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

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

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

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

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

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

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

View Question