JEE Main 2023 (Online) 15th April Morning Shift

Paper was held on
Sat, Apr 15, 2023 3:30 AM

## Chemistry

During water-gas shift reaction

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The complex with highest magnitude of crystal field splitting energy $\left(\Delta_{0}\right)$ is :

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The major product formed in the Friedel-Craft acylation of chlorobenzene is

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The number of $\mathrm{P}-\mathrm{O}-\mathrm{P}$ bonds in $\mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{7},\left(\mathrm{HP

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Which of the following statement is correct for paper chromatography?

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For a good quality cement, the ratio of silica to alumina is found to be :

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Which is not true for arginine?

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Which one of the following is not an example of calcination?

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Consider the following sequence of reactions:
The product ' $\mathrm{B}$ ' is

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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R :
Assertion (A) :

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Given below are two statements:
Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an el

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Which of the following statement(s) is/are correct?
(A) The $\mathrm{pH}$ of $1 \times 10^{-8}~ \mathrm{M} ~\mathrm{HCl}

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Consider the following statements:
(A) NF3 molecule has a trigonal planar structure.
(B) Bond length of $\mathrm{N}_{2

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In the above conversion the correct sequence of reagents to be added is

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Which of the following expressions is correct in case of a $\mathrm{CsCl}$ unit cell (edge length 'a')?

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'A' formed in the above reaction is

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The product formed in the following multistep reaction is :

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Match List I with List II:
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The possibility of photochemical smog formation will be minimum at :

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Decreasing order of reactivity towards electrophilic substitution for the following compounds is :

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For a reversible reaction $\mathrm{A} \rightleftharpoons \mathrm{B}$, the $\Delta \mathrm{H}_{\text{forward reaction}} =

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The volume (in $\mathrm{mL}$) of $0.1 \mathrm{M} ~\mathrm{AgNO}_{3}$ required for complete precipitation of chloride ion

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The number of correct statements from the following is _______.
(A) Conductivity always decreases with decrease in conce

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In Chromyl chloride, the oxidation state of chromium is $(+)$ _______________.

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$20 \mathrm{~mL}$ of $0.5 \mathrm{M} ~\mathrm{NaCl}$ is required to coagulate $200 \mathrm{~mL}$ of $\mathrm{As}_{2} \ma

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The vapour pressure of $30 \%(\mathrm{w} / \mathrm{v})$ aqueous solution of glucose is __________ $\mathrm{mm} ~\mathrm{

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$30.4 \mathrm{~kJ}$ of heat is required to melt one mole of sodium chloride and the entropy change at the melting point

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The total change in the oxidation state of manganese involved in the reaction of $\mathrm{KMnO}_{4}$ and potassium iodid

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The homoleptic and octahedral complex of $\mathrm{Co}^{2+}$ and $\mathrm{H}_{2} \mathrm{O}$ has ___________ unpaired ele

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The total number of isoelectronic species from the given set is ___________.
$\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{A

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## Mathematics

Let $S$ be the set of all $(\lambda, \mu)$ for which the vectors $\lambda \hat{i}-\hat{j}+\hat{k}, \hat{i}+2 \hat{j}+\mu

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Let $x=x(y)$ be the solution of the differential equation
$2(y+2) \log _{e}(y+2) d x+\left(x+4-2 \log _{e}(y+2)\right)

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If $\int\limits_{0}^{1} \frac{1}{\left(5+2 x-2 x^{2}\right)\left(1+e^{(2-4 x)}\right)} d x=\frac{1}{\alpha} \log _{e}\le

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The total number of three-digit numbers, divisible by 3, which can be formed using the digits $1,3,5,8$, if repetition o

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Let $\mathrm{ABCD}$ be a quadrilateral. If $\mathrm{E}$ and $\mathrm{F}$ are the mid points of the diagonals $\mathrm{AC

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Negation of $p \wedge(q \wedge \sim(p \wedge q))$ is :

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If the domain of the function
$f(x)=\log _{e}\left(4 x^{2}+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1}\left(\frac{10 x+6

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Let the foot of perpendicular of the point $P(3,-2,-9)$ on the plane passing through the points $(-1,-2,-3),(9,3,4),(9,-

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The number of common tangents, to the circles $x^{2}+y^{2}-18 x-15 y+131=0$ and $x^{2}+y^{2}-6 x-6 y-7=0$, is :

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Let $[x]$ denote the greatest integer function and $f(x)=\max \{1+x+[x], 2+x, x+2[x]\}, 0 \leq x \leq 2$. Let $m$ be the

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The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observa

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Let $\left(a+b x+c x^{2}\right)^{10}=\sum\limits_{i=0}^{20} p_{i} x^{i}, a, b, c \in \mathbb{N}$. If $p_{1}=20$ and $p_{

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A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on t

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Let the determinant of a square matrix A of order $m$ be $m-n$, where $m$ and $n$ satisfy $4 m+n=22$ and $17 m+4 n=93$.

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The number of real roots of the equation $x|x|-5|x+2|+6=0$, is :

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Let the system of linear equations
$-x+2 y-9 z=7$
$-x+3 y+7 z=9$
$-2 x+y+5 z=8$
$-3 x+y+13 z=\lambda$
has a unique solu

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If $(\alpha, \beta)$ is the orthocenter of the triangle $\mathrm{ABC}$ with vertices $A(3,-7), B(-1,2)$ and $C(4,5)$, th

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Let $A_{1}$ and $A_{2}$ be two arithmetic means and $G_{1}, G_{2}, G_{3}$ be three geometric means of two distinct posit

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Let $\mathrm{S}$ be the set of all values of $\lambda$, for which the shortest distance between the lines $\frac{x-\lamb

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If the set $\left\{\operatorname{Re}\left(\frac{z-\bar{z}+z \bar{z}}{2-3 z+5 \bar{z}}\right): z \in \mathbb{C}, \operato

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Let the plane $P$ contain the line $2 x+y-z-3=0=5 x-3 y+4 z+9$ and be parallel to the line $\frac{x+2}{2}=\frac{3-y}{-4}

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If the line $x=y=z$ intersects the line
$x \sin A+y \sin B+z \sin C-18=0=x \sin 2 A+y \sin 2 B+z \sin 2 C-9$,
where $A

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A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest

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Let an ellipse with centre $(1,0)$ and latus rectum of length $\frac{1}{2}$ have its major axis along $\mathrm{x}$-axis.

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If the sum of the series
$\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{2^{2}}-\frac{1}{2 \cdot 3}+\frac{1}{3^{2}

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If the area bounded by the curve $2 y^{2}=3 x$, lines $x+y=3, y=0$ and outside the circle $(x-3)^{2}+y^{2}=2$ is $\mathr

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Let $f(x)=\int \frac{d x}{\left(3+4 x^{2}\right) \sqrt{4-3 x^{2}}},|x| and $f(1)=\frac{1}{\alpha \beta} \tan ^{-1}\left(

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Consider the triangles with vertices $A(2,1), B(0,0)$ and $C(t, 4), t \in[0,4]$.
If the maximum and the minimum perimet

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The number of elements in the set $\left\{n \in \mathbb{N}: 10 \leq n \leq 100\right.$ and $3^{n}-3$ is a multiple of 7$

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Let $A=\{1,2,3,4\}$ and $\mathrm{R}$ be a relation on the set $A \times A$ defined by $R=\{((a, b),(c, d)): 2 a+3 b=4 c+

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## Physics

A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a

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The position of a particle related to time is given by $x=\left(5 t^{2}-4 t+5\right) \mathrm{m}$. The magnitude of veloc

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The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plan

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In the given circuit, the current (I) through the battery will be

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The de Broglie wavelength of an electron having kinetic energy $\mathrm{E}$ is $\lambda$. If the kinetic energy of elect

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The height of transmitting antenna is $180 \mathrm{~m}$ and the height of the receiving antenna is $245 \mathrm{~m}$. Th

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In a linear Simple Harmonic Motion (SHM)
(A) Restoring force is directly proportional to the displacement.
(B) The ac

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Two identical particles each of mass ' $m$ ' go round a circle of radius $a$ under the action of their mutual gravitatio

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A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600 \mathrm{~nm}$. The value of ' $a$

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The position vector of a particle related to time $t$ is given by
$\vec{r}=\left(10 t \hat{i}+15 t^{2} \hat{j}+7 \hat{k

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A body is released from a height equal to the radius $(\mathrm{R})$ of the earth. The velocity of the body when it strik

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A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis. The magnitude of $\mathrm{y}$-component of vector

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The speed of a wave produced in water is given by $v=\lambda^{a} g^{b} \rho^{c}$. Where $\lambda, g$ and $\rho$ are wave

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The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

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For designing a voltmeter of range $50 \mathrm{~V}$ and an ammeter of range $10 \mathrm{~mA}$ using a galvanometer which

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A thermodynamic system is taken through cyclic process. The total work done in the process is :

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Given below are two statements:
Statement I : The equivalent resistance of resistors in a series combination is smaller

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Match List I with List II of Electromagnetic waves with corresponding wavelength range :
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A flask contains Hydrogen and Argon in the ratio $2: 1$ by mass. The temperature of the mixture is $30^{\circ} \mathrm{C

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$12 \mathrm{~V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the

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An election in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 10^6 \mathrm{~ms}^{-1}$ in an or

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The fundamental frequency of vibration of a string stretched between two rigid support is $50 \mathrm{~Hz}$. The mass of

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In the given figure the total charge stored in the combination of capacitors is $100~ \mu \mathrm{C}$. The value of ' $x

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As per given figure $A, B$ and $C$ are the first, second and third excited energy levels of hydrogen atom respectively.

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The refractive index of a transparent liquid filled in an equilateral hollow prism is $\sqrt{2}$. The angle of minimum d

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A block of mass $10 \mathrm{~kg}$ is moving along $\mathrm{x}$-axis under the action of force $F=5 x~ N$. The work done

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A network of four resistances is connected to $9 \mathrm{~V}$ battery, as shown in figure. The magnitude of voltage diff

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A $20 \mathrm{~cm}$ long metallic rod is rotated with $210~ \mathrm{rpm}$ about an axis normal to the rod passing throug

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There is an air bubble of radius $1.0 \mathrm{~mm}$ in a liquid of surface tension $0.075~ \mathrm{Nm}^{-1}$ and density

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A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ra

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