JEE Main 2023 (Online) 1st February Evening Shift

Paper was held on
Wed, Feb 1, 2023 9:30 AM

## Chemistry

$$\mathrm{O}-\mathrm{O}$$ bond length in $$\mathrm{H}_{2} \mathrm{O}_{2}$$ is $$\underline{\mathrm{X}}$$ than the $$\mat

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All structures given below are of vitamin C. Most stable of them is :

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The industrial activity held least responsible for global warming is :

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'$$\mathrm{X}$$' is :

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The starting material for convenient preparation of deuterated hydrogen peroxide ($$\mathrm{D_{2}O_{2}}$$) in

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The correct order of bond enthalpy ($$\mathrm{kJ~mol^{-1}}$$) is :

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In a reaction,
reagents 'X' and 'Y' respectively are :

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Given below are two statements :
Statement I : Sulphanilic acid gives esterification test for carboxyl group.
Statement

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Which element is not present in Nessler's reagent?

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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 : 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 : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

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In figure, a straight line is given for Freundrich Adsorption ($$y=3x+2.505$$). The value of $$\frac{1}{n}$$ and $$\log

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The effect of addition of helium gas to the following reaction in equilibrium state, is :
$$\mathrm{PCl}_{5}(\mathrm{g})

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Which one of the following sets of ions represents a collection of isoelectronic species?
(Given : Atomic Number : $$\ma

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For electron gain enthalpies of the elements denoted as $$\Delta_{\mathrm{eg}} \mathrm{H}$$, the incorrect option 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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The complex cation which has two isomers is :

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The structures of major products A, B and C in the following reaction are sequence.

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The graph which represents the following reaction is :

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Among the following, the number of tranquilizer/s is/are ___________.
A. Chloroliazepoxide
B. Veronal
C. Valium
D. Salva

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Among following compounds, the number of those present in copper matte is ___________.
A. $$\mathrm{CuCO_{3}}$$
B. $$\ma

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$$1 \times 10^{-5} ~\mathrm{M} ~\mathrm{AgNO}_{3}$$ is added to $$1 \mathrm{~L}$$ of saturated solution of $$\mathrm{AgB

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Testosterone, which is a steroidal hormone, has the following structure.
The total number of asymmetric carbon atom/s i

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$$20 \%$$ of acetic acid is dissociated when its $$5 \mathrm{~g}$$ is added to $$500 \mathrm{~mL}$$ of water. The depres

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$$0.3 \mathrm{~g}$$ of ethane undergoes combustion at $$27^{\circ} \mathrm{C}$$ in a bomb calorimeter. The temperature o

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A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge le

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The molality of a $$10 \%(\mathrm{v} / \mathrm{v})$$ solution of di-bromine solution in $$\mathrm{CCl}_{4}$$ (carbon tet

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The spin only magnetic moment of $$\left[\mathrm{Mn}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}$$ complexes i

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$$\mathrm{A}$$ $$\rightarrow \mathrm{B}$$
The above reaction is of zero order. Half life of this reaction is $$50 \mathr

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## Mathematics

Let $$9=x_{1}

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Let $$P(S)$$ denote the power set of $$S=\{1,2,3, \ldots ., 10\}$$. Define the relations $$R_{1}$$ and $$R_{2}$$ on $$P(

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Let the plane P pass through the intersection of the planes $$2x+3y-z=2$$ and $$x+2y+3z=6$$, and be perpendicular to the

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The sum of the absolute maximum and minimum values of the function $$f(x)=\left|x^{2}-5 x+6\right|-3 x+2$$ in the interv

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Let $$\mathrm{P}\left(x_{0}, y_{0}\right)$$ be the point on the hyperbola $$3 x^{2}-4 y^{2}=36$$, which is nearest to th

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Let $$\vec{a}=5 \hat{i}-\hat{j}-3 \hat{k}$$ and $$\vec{b}=\hat{i}+3 \hat{j}+5 \hat{k}$$ be two vectors. Then which one o

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Which of the following statements is a tautology?

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For the system of linear equations $$\alpha x+y+z=1,x+\alpha y+z=1,x+y+\alpha z=\beta$$, which one of the following stat

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If $$y(x)=x^{x},x > 0$$, then $$y''(2)-2y'(2)$$ is equal to

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The value of the integral $$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}

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The area of the region given by $$\{ (x,y):xy \le 8,1 \le y \le {x^2}\} $$ is :

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The sum $$\sum\limits_{n = 1}^\infty {{{2{n^2} + 3n + 4} \over {(2n)!}}} $$ is equal to :

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The number of integral values of k, for which one root of the equation $$2x^2-8x+k=0$$ lies in the interval (1, 2) and i

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Let $$a,b$$ be two real numbers such that $$ab

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If $$A = {1 \over 2}\left[ {\matrix{
1 & {\sqrt 3 } \cr
{ - \sqrt 3 } & 1 \cr
} } \right]$$, then :

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Two dice are thrown independently. Let $$\mathrm{A}$$ be the event that the number appeared on the $$1^{\text {st }}$$ d

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Let $$\vec{a}=2 \hat{i}-7 \hat{j}+5 \hat{k}, \vec{b}=\hat{i}+\hat{k}$$ and $$\vec{c}=\hat{i}+2 \hat{j}-3 \hat{k}$$ be th

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Let $$S = \left\{ {x \in R:0
If $$\mathrm{n(S)}$$ denotes the number of elements in $$\mathrm{S}$$ then :

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Let $$f:\mathbb{R}-{0,1}\to \mathbb{R}$$ be a function such that $$f(x)+f\left(\frac{1}{1-x}\right)=1+x$$. Then $$f(2)$$

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Let $$\alpha x=\exp \left(x^{\beta} y^{\gamma}\right)$$ be the solution of the differential equation $$2 x^{2} y \mathrm

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If the $$x$$-intercept of a focal chord of the parabola $$y^{2}=8x+4y+4$$ is 3, then the length of this chord is equal t

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If $$\int\limits_0^\pi {{{{5^{\cos x}}(1 + \cos x\cos 3x + {{\cos }^2}x + {{\cos }^3}x\cos 3x)dx} \over {1 + {5^{\cos x

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Let the sixth term in the binomial expansion of $${\left( {\sqrt {{2^{{{\log }_2}\left( {10 - {3^x}} \right)}}} + \root

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The point of intersection $$\mathrm{C}$$ of the plane $$8 x+y+2 z=0$$ and the line joining the points $$\mathrm{A}(-3,-6

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The sum of the common terms of the following three arithmetic progressions.
$$3,7,11,15, \ldots ., 399$$,
$$2,5,8,11, \l

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Number of integral solutions to the equation $$x+y+z=21$$, where $$x \ge 1,y\ge3,z\ge4$$, is equal to ____________.

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Let $$\alpha x+\beta y+\gamma z=1$$ be the equation of a plane passing through the point $$(3,-2,5)$$ and perpendicular

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If the term without $$x$$ in the expansion of $$\left(x^{\frac{2}{3}}+\frac{\alpha}{x^{3}}\right)^{22}$$ is 7315 , then

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The total number of six digit numbers, formed using the digits 4, 5, 9 only and divisible by 6, is ____________.

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The line $$x=8$$ is the directrix of the ellipse $$\mathrm{E}:\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ with the corre

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## Physics

In an amplitude modulation, a modulating signal having amplitude of X V is superimposed with a carrier signal of amplitu

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Given below are two statements : One is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\math

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The escape velocities of two planets $$\mathrm{A}$$ and $$\mathrm{B}$$ are in the ratio $$1: 2$$. If the ratio of their

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The ratio of average electric energy density and total average energy density of electromagnetic wave is :

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Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be

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A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magn

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Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R.
Assertion A : Two me

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Choose the correct length (L) versus square of the time period ($$\mathrm{T}^{2}$$) graph for a simple pendulum executin

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A Carnot engine operating between two reservoirs has efficiency $$\frac{1}{3}$$. When the temperature of cold reservoir

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If the velocity of light $$\mathrm{c}$$, universal gravitational constant $$\mathrm{G}$$ and Planck's constant $$\mathrm

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The Young's modulus of a steel wire of length $$6 \mathrm{~m}$$ and cross-sectional area $$3 \mathrm{~mm}^{2}$$, is $$2

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Choose the correct statement about Zener diode :

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As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by a force F acting at an angle $$3

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Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature

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For a body projected at an angle with the horizontal from the ground, choose the correct statement.

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As shown in the figure, a long straight conductor with semicircular arc of radius $$\frac{\pi}{10}$$m is carrying curren

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The threshold frequency of a metal is $$f_{0}$$. When the light of frequency $$2 f_{0}$$ is incident on the metal plate,

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For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume

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Figures (a), (b), (c) and (d) show variation of force with time.
The impulse is highest in figure.

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An electron of a hydrogen like atom, having $$Z=4$$, jumps from $$4^{\text {th }}$$ energy state to $$2^{\text {nd }}$$

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A square shaped coil of area $$70 \mathrm{~cm}^{2}$$ having 600 turns rotates in a magnetic field of $$0.4 ~\mathrm{wbm}

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A block is fastened to a horizontal spring. The block is pulled to a distance $$x=10 \mathrm{~cm}$$ from its equilibrium

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As shown in the figure, in Young's double slit experiment, a thin plate of thickness $$t=10 \mu \mathrm{m}$$ and refract

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Nucleus A having $$Z=17$$ and equal number of protons and neutrons has $$1.2 ~\mathrm{MeV}$$ binding energy per nucleon.

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Moment of inertia of a disc of mass '$$M$$' and radius '$$R$$' about any of its diameter is $$\frac{M R^{2}}{4}$$. The m

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The surface of water in a water tank of cross section area $$750 \mathrm{~cm}^{2}$$ on the top of a house is $$h \mathrm

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A force $$\mathrm{F}=\left(5+3 y^{2}\right)$$ acts on a particle in the $$y$$-direction, where $$\mathrm{F}$$ is in newt

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For a train engine moving with speed of $$20 \mathrm{~ms}^{-1}$$, the driver must apply brakes at a distance of 500 $$\m

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In the given circuit, the value of $$\left| {{{{\mathrm{I_1}} + {\mathrm{I_3}}} \over {{\mathrm{I_2}}}}} \right|$$ is __

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A cubical volume is bounded by the surfaces $$\mathrm{x}=0, x=\mathrm{a}, y=0, y=\mathrm{a}, \mathrm{z}=0, z=\mathrm{a}$

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