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

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

View Question The industrial activity held least responsible for global warming is :

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

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

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

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

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

View Question Which element is not present in Nessler's reagent?

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

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

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

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

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

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

View Question For electron gain enthalpies of the elements denoted as $$\Delta_{\mathrm{eg}} \mathrm{H}$$, the incorrect option is :

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

View Question The complex cation which has two isomers is :

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

View Question The graph which represents the following reaction is :

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

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

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

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

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

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

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

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

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

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

View Question ## Mathematics

Let $$9=x_{1}

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

View Question 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

View Question 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

View Question 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

View Question 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

View Question Which of the following statements is a tautology?

View Question 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

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

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

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

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

View Question 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

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

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

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

View Question 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

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

View Question 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 $$f(2)$$

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

View Question 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

View Question 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

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

View Question 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

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

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

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

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

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

View Question 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

View Question ## Physics

In an amplitude modulation, a modulating signal having amplitude of X Volt is superimposed with a carrier signal of ampl

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

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

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

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

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

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

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

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

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

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

View Question Choose the correct statement about Zener diode :

View Question 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

View Question 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

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

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

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

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

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

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

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

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

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

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

View Question 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

View Question 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

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

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

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

View Question 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}$

View Question