JEE Main 2022 (Online) 29th July Evening Shift

Paper was held on
Fri, Jul 29, 2022 9:30 AM

## Chemistry

Consider the reaction
$$4 \mathrm{HNO}_{3}(1)+3 \mathrm{KCl}(\mathrm{s}) \rightarrow \mathrm{Cl}_{2}(\mathrm{~g})+\mathr

View Question Given below are the quantum numbers for 4 electrons.
A. $$\mathrm{n}=3,l=2, \mathrm{~m}_{1}=1, \mathrm{~m}_{\mathrm{s}}=

View Question $$
\begin{aligned}
&\mathrm{C}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+400 \mat

View Question $$200 \mathrm{~mL}$$ of $$0.01 \,\mathrm{M} \,\mathrm{HCl}$$ is mixed with $$400 \mathrm{~mL}$$ of $$0.01 \,\mathrm{M} \

View Question Given below are the critical temperatures of some of the gases:
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View Question In liquation process used for tin (Sn), the metal :

View Question Given below are two statements.
Statement I : Stannane is an example of a molecular hydride.
Statement II : Stannane is

View Question Portland cement contains 'X' to enhance the setting time. What is 'X'?

View Question When borax is heated with $$\mathrm{CoO}$$ on a platinum loop, blue coloured bead formed is largely due to :

View Question Which of the following $$3\mathrm{d}$$-metal ion will give the lowest enthalpy of hydration $$\left(\Delta_{\text {hyd }

View Question Octahedral complexes of copper(II) undergo structural distortion (Jahn-Teller). Which one of the given copper (II) compl

View Question Dinitrogen is a robust compound, but reacts at high altitudes to form oxides. The oxide of nitrogen that can damage plan

View Question Correct structure of $$\gamma$$-methylcyclohexane carbaldehyde is

View Question Compound 'A' undergoes following sequence of reactions to give compound 'B'.
The correct structure and chirality of comp

View Question Given below are two statements.
Statement I : The compound is optically active.
Statement II : is mirror image of abov

View Question When ethanol is heated with conc. $$\mathrm{H}_{2} \mathrm{SO}_{4}$$, a gas is produced. The compound formed, when this

View Question The Hinsberg reagent is

View Question Which of the following is NOT a natural polymer?

View Question Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Amylo

View Question A compound 'X' is a weak acid and it exhibits colour change at pH close to the equivalence point during neutralization o

View Question 'x' g of molecular oxygen $$\left(\mathrm{O}_{2}\right)$$ is mixed with $$200 \mathrm{~g}$$ of neon (Ne). The total pres

View Question Consider, $$\mathrm{PF}_{5}, \mathrm{BrF}_{5}, \mathrm{PCl}_{3}, \mathrm{SF}_{6},\left[\mathrm{ICl}_{4}\right]^{-}, \mat

View Question $$1.80 \mathrm{~g}$$ of solute A was dissolved in $$62.5 \mathrm{~cm}^{3}$$ of ethanol and freezing point of the solutio

View Question For a cell, $$\mathrm{Cu}(\mathrm{s})\left|\mathrm{Cu}^{2+}(0.001 \,\mathrm{M}) \| \mathrm{Ag}^{+}(0.01 \,\mathrm{M})\ri

View Question Assuming $$1 \,\mu \mathrm{g}$$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tre

View Question Sum of oxidation state (magnitude) and coordination number of cobalt in $$\mathrm{Na}\left[\mathrm{Co}(\mathrm{bpy}) \ma

View Question Consider the following sulphur based oxoacids.
$$\mathrm{H}_{2} \mathrm{SO}_{3}, \mathrm{H}_{2} \mathrm{SO}_{4}, \mathrm

View Question A 1.84 mg sample of polyhydric alcoholic compound 'X' of molar mass 92.0 g/mol gave 1.344 mL of $$\mathrm{H}_{2}$$ gas a

View Question The number of stereoisomers formed in a reaction of $$(±)\mathrm{Ph}(\mathrm{C}=\mathrm{O}) \mathrm{C}(\mathrm{OH})(\mat

View Question The number of chlorine atoms in bithionol is __________.

View Question ## Mathematics

If $$z \neq 0$$ be a complex number such that $$\left|z-\frac{1}{z}\right|=2$$, then the maximum value of $$|z|$$ is :

View Question Which of the following matrices can NOT be obtained from the matrix $$\left[\begin{array}{cc}-1 & 2 \\ 1 & -1\end{array}

View Question If the system of equations
$$
\begin{aligned}
&x+y+z=6 \\
&2 x+5 y+\alpha z=\beta \\
&x+2 y+3 z=14
\end{aligned}
$$
has

View Question $$
\text { Let the function } f(x)=\left\{\begin{array}{cl}
\frac{\log _{e}(1+5 x)-\log _{e}(1+\alpha x)}{x} & ;\text {

View Question If $$[t]$$ denotes the greatest integer $$\leq t$$, then the value of $$\int_{0}^{1}\left[2 x-\left|3 x^{2}-5 x+2\right|

View Question $$
\begin{aligned}
&\text { Let }\left\{a_{n}\right\}_{n=0}^{\infty} \text { be a sequence such that } a_{0}=a_{1}=0 \te

View Question $$\sum\limits_{r=1}^{20}\left(r^{2}+1\right)(r !)$$ is equal to

View Question For $$I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x$$, if $$I\left(\frac{\pi}{4}\right)=2^{1011}$$, then

View Question If the solution curve of the differential equation $$\frac{d y}{d x}=\frac{x+y-2}{x-y}$$ passes through the points $$(2,

View Question Let $$y=y(x)$$ be the solution curve of the differential equation $$ \frac{d y}{d x}+\left(\frac{2 x^{2}+11 x+13}{x^{3}+

View Question Let $$m_{1}, m_{2}$$ be the slopes of two adjacent sides of a square of side a such that $$a^{2}+11 a+3\left(m_{1}^{2}+m

View Question The number of elements in the set $$S=\left\{x \in \mathbb{R}: 2 \cos \left(\frac{x^{2}+x}{6}\right)=4^{x}+4^{-x}\right\

View Question Let $$\mathrm{A}(\alpha,-2), \mathrm{B}(\alpha, 6)$$ and $$\mathrm{C}\left(\frac{\alpha}{4},-2\right)$$ be vertices of a

View Question Let $$Q$$ be the foot of perpendicular drawn from the point $$P(1,2,3)$$ to the plane $$x+2 y+z=14$$. If $$R$$ is a poin

View Question If $$(2,3,9),(5,2,1),(1, \lambda, 8)$$ and $$(\lambda, 2,3)$$ are coplanar, then the product of all possible values of $

View Question Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transf

View Question Let $$\mathrm{S}=\{z=x+i y:|z-1+i| \geq|z|,|z|

View Question Let $$\vec{a}, \vec{b}, \vec{c}$$ be three coplanar concurrent vectors such that angles between any two of them is same.

View Question The domain of the function $$f(x)=\sin ^{-1}\left(\frac{x^{2}-3 x+2}{x^{2}+2 x+7}\right)$$ is :

View Question The statement $$(p \Rightarrow q) \vee(p \Rightarrow r)$$ is NOT equivalent to

View Question The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number

View Question Let $$\alpha, \beta(\alpha>\beta)$$ be the roots of the quadratic equation $$x^{2}-x-4=0 .$$ If $$P_{n}=\alpha^{n}-\beta

View Question Let $$X=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]$$ and $$A=\left[\begin{array}{ccc}-1 & 2 & 3 \\ 0 & 1 & 6 \\

View Question The number of natural numbers lying between 1012 and 23421 that can be formed using the digits $$2,3,4,5,6$$ (repetition

View Question $$
\text { If } \sum\limits_{k=1}^{10} K^{2}\left(10_{C_{K}}\right)^{2}=22000 L \text {, then } L \text { is equal to }$

View Question If $$[t]$$ denotes the greatest integer $$\leq t$$, then the number of points, at which the function $$f(x)=4|2 x+3|+9\l

View Question If the tangent to the curve $$y=x^{3}-x^{2}+x$$ at the point $$(a, b)$$ is also tangent to the curve $$y = 5{x^2} + 2x -

View Question Let $$A B$$ be a chord of length 12 of the circle $$(x-2)^{2}+(y+1)^{2}=\frac{169}{4}$$. If tangents drawn to the circle

View Question Let $$\vec{a}$$ and $$\vec{b}$$ be two vectors such that $$|\vec{a}+\vec{b}|^{2}=|\vec{a}|^{2}+2|\vec{b}|^{2}, \vec{a} \

View Question $$\text { Let } S=\left\{(x, y) \in \mathbb{N} \times \mathbb{N}: 9(x-3)^{2}+16(y-4)^{2} \leq 144\right\}$$ and
$$T=\lef

View Question ## Physics

Two identical metallic spheres $$\mathrm{A}$$ and $$\mathrm{B}$$ when placed at certain distance in air repel each other

View Question Match List I with List II.
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View Question Two identical thin metal plates has charge $$q_{1}$$ and $$q_{2}$$ respectively such that $$q_{1}>q_{2}$$. The plates we

View Question Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Alloy

View Question A $$1 \mathrm{~m}$$ long wire is broken into two unequal parts $$\mathrm{X}$$ and $$\mathrm{Y}$$. The $$\mathrm{X}$$ par

View Question A wire X of length $$50 \mathrm{~cm}$$ carrying a current of $$2 \mathrm{~A}$$ is placed parallel to a long wire $$\math

View Question A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest pos

View Question A circuit element $$\mathrm{X}$$ when connected to an a.c. supply of peak voltage $$100 \mathrm{~V}$$ gives a peak curre

View Question An unpolarised light beam of intensity $$2 I_{0}$$ is passed through a polaroid P and then through another polaroid Q wh

View Question An $$\alpha$$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear

View Question Read the following statements :
(A) Volume of the nucleus is directly proportional to the mass number.
(B) Volume of the

View Question An object of mass $$1 \mathrm{~kg}$$ is taken to a height from the surface of earth which is equal to three times the ra

View Question A ball is released from a height h. If $$t_{1}$$ and $$t_{2}$$ be the time required to complete first half and second ha

View Question Two bodies of masses $$m_{1}=5 \mathrm{~kg}$$ and $$m_{2}=3 \mathrm{~kg}$$ are connected by a light string going over a

View Question If momentum of a body is increased by 20%, then its kinetic energy increases by

View Question The torque of a force $$5 \hat{i}+3 \hat{j}-7 \hat{k}$$ about the origin is $$\tau$$. If the force acts on a particle wh

View Question A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the f

View Question The vertical component of the earth's magnetic field is $$6 \times 10^{-5} \mathrm{~T}$$ at any place where the angle of

View Question The root mean square speed of smoke particles of mass $$5 \times 10^{-17} \mathrm{~kg}$$ in their Brownian motion in air

View Question Light enters from air into a given medium at an angle of $$45^{\circ}$$ with interface of the air-medium surface. After

View Question A tube of length $$50 \mathrm{~cm}$$ is filled completely with an incompressible liquid of mass $$250 \mathrm{~g}$$ and

View Question Nearly 10% of the power of a $$110 \mathrm{~W}$$ light bulb is converted to visible radiation. The change in average int

View Question A metal wire of length $$0.5 \mathrm{~m}$$ and cross-sectional area $$10^{-4} \mathrm{~m}^{2}$$ has breaking stress $$5

View Question The velocity of a small ball of mass $$0.3 \mathrm{~g}$$ and density $$8 \mathrm{~g} / \mathrm{cc}$$ when dropped in a c

View Question A modulating signal $$2 \sin \left(6.28 \times 10^{6}\right) t$$ is added to the carrier signal $$4 \sin \left(12.56 \ti

View Question The speed of a transverse wave passing through a string of length $$50 \mathrm{~cm}$$ and mass $$10 \mathrm{~g}$$ is $$6

View Question The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is $$10 \mathrm{~s}$$.

View Question A $$8 \mathrm{~V}$$ Zener diode along with a series resistance $$\mathrm{R}$$ is connected across a $$20 \mathrm{~V}$$ s

View Question Two radioactive materials A and B have decay constants $$25 \lambda$$ and $$16 \lambda$$ respectively. If initially they

View Question A capacitor of capacitance 500 $$\mu$$F is charged completely using a dc supply of 100 V. It is now connected to an indu

View Question