JEE Main 2023 (Online) 8th April Evening Shift

Paper was held on
Sat, Apr 8, 2023 9:30 AM

## Chemistry

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

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Match List I with List II
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The correct IUPAC nomenclature for the following compound is:

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Major product '$$\mathrm{P}$$' formed in the following reaction is:

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Which of the following have same number of significant figures?
A. 0.00253
B. 1.0003
C. 15.0
D. 163
Choose the correct a

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A compound '$$\mathrm{X}$$' when treated with phthalic anhydride in presence of concentrated $$\mathrm{H}_{2} \mathrm{SO

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Arrange the following gases in increasing order of van der Waals constant 'a'
A. Ar
B. $$\mathrm{CH}_{4}$$
C. $$\mathrm{

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Which of these reactions is not a part of breakdown of ozone in stratosphere?

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The statement/s which are true about antagonists from the following is/are:
A. They bind to the receptor site.
B. Get tr

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Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is

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In Hall - Heroult process, the following is used for reducing $$\mathrm{Al}_{2} \mathrm{O}_{3}$$ :-

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Given below are two statements:
Statement I : In redox titration, the indicators used are sensitive to change in $$\math

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For a good quality cement, the ratio of lime to the total of the oxides of $$\mathrm{Si}, \mathrm{Al}$$ and $\mathrm{Fe}

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The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous $$\mathrm{NaOH}$$

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The correct reaction profile diagram for a positive catalyst reaction.

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Which of the following can reduce decomposition of $$\mathrm{H}_{2} \mathrm{O}_{2}$$ on exposure to light

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The product ($$\mathrm{P}$$) formed from the following multistep reaction is:

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The descending order of acidity for the following carboxylic acid is-
A. $$\mathrm{CH}_{3} \mathrm{COOH}$$
B. $$\mathrm{

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Given below are two statements:
Statement I : Methyl orange is a weak acid.
Statement II : The benzenoid form of methyl

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The ratio of sigma and $$\pi$$ bonds present in pyrophosphoric acid is ___________.

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The number of species from the following carrying a single lone pair on central atom Xenon is ___________.
$$\mathrm{XeF

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The observed magnetic moment of the complex $$\left.\left[\operatorname{Mn}(\underline{N} C S)_{6}\right)\right]^{x^{-}}

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Coagulating value of the electrolytes $$\mathrm{AlCl}_{3}$$ and $$\mathrm{NaCl}$$ for $$\mathrm{As}_{2} \mathrm{S}_{3}$$

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The solubility product of $$\mathrm{BaSO}_{4}$$ is $$1 \times 10^{-10}$$ at $$298 \mathrm{~K}$$. The solubility of $$\ma

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If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio $$2: 1$$ and their enthal

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For complete combustion of ethene.
$$\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow

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The number of atomic orbitals from the following having 5 radial nodes is ___________.
$$7 \mathrm{s}, 7 \mathrm{p}, 6 \

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The sum of oxidation state of the metals in $$\mathrm{Fe}(\mathrm{CO})_{5}, \mathrm{VO}^{2+}$$ and $$\mathrm{WO}_{3}$$ i

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The number of incorrect statements from the following is ___________.
A. The electrical work that a reaction can perform

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## Mathematics

Let O be the origin and OP and OQ be the tangents to the circle $$x^2+y^2-6x+4y+8=0$$ at the points P and Q on it. If th

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Let $$A=\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1-i \sin \theta}\right.$$ is purely imaginary $$\}$$. Then

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Let $$\mathrm{a}_{\mathrm{n}}$$ be the $$\mathrm{n}^{\text {th }}$$ term of the series $$5+8+14+23+35+50+\ldots$$ and $$

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$$25^{190}-19^{190}-8^{190}+2^{190}$$ is divisible by

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The integral $$\int\left(\left(\frac{x}{2}\right)^{x}+\left(\frac{2}{x}\right)^{x}\right) \log _{2} x d x$$ is equal to

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Let the vectors $$\vec{u}_{1}=\hat{i}+\hat{j}+a \hat{k}, \vec{u}_{2}=\hat{i}+b \hat{j}+\hat{k}$$ and $$\vec{u}_{3}=c \ha

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If the probability that the random variable $$\mathrm{X}$$ takes values $$x$$ is given by $$\mathrm{P}(\mathrm{X}=x)=\ma

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Let $$\mathrm{A}=\{1,2,3,4,5,6,7\}$$. Then the relation $$\mathrm{R}=\{(x, y) \in \mathrm{A} \times \mathrm{A}: x+y=7\}$

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Let the mean and variance of 12 observations be $$\frac{9}{2}$$ and 4 respectively. Later on, it was observed that two o

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For $$\mathrm{a}, \mathrm{b} \in \mathbb{Z}$$ and $$|\mathrm{a}-\mathrm{b}| \leq 10$$, let the angle between the plane $

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The negation of $$(p \wedge(\sim q)) \vee(\sim p)$$ is equivalent to

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The absolute difference of the coefficients of $$x^{10}$$ and $$x^{7}$$ in the expansion of $$\left(2 x^{2}+\frac{1}{2 x

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The area of the quadrilateral $$\mathrm{ABCD}$$ with vertices $$\mathrm{A}(2,1,1), \mathrm{B}(1,2,5), \mathrm{C}(-2,-3,5

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Let $$\mathrm{P}$$ be the plane passing through the line $$\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}$$ and the point $$

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If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in whic

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If $$A=\left[\begin{array}{cc}1 & 5 \\ \lambda & 10\end{array}\right], \mathrm{A}^{-1}=\alpha \mathrm{A}+\beta \mathrm{I

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If $$\alpha > \beta > 0$$ are the roots of the equation $$a x^{2}+b x+1=0$$, and $$\lim_\limits{x \rightarrow \frac{1}{\

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The value of $$36\left(4 \cos ^{2} 9^{\circ}-1\right)\left(4 \cos ^{2} 27^{\circ}-1\right)\left(4 \cos ^{2} 81^{\circ}-1

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Let $$\mathrm{A}(0,1), \mathrm{B}(1,1)$$ and $$\mathrm{C}(1,0)$$ be the mid-points of the sides of a triangle with incen

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Let S be the set of all values of $$\theta \in[-\pi, \pi]$$ for which the system of linear equations
$$x+y+\sqrt{3} z=0$

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Let $$[t]$$ denote the greatest integer function. If $$\int_\limits{0}^{2.4}\left[x^{2}\right] d x=\alpha+\beta \sqrt{2}

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Let the area enclosed by the lines $$x+y=2, \mathrm{y}=0, x=0$$ and the curve $$f(x)=\min \left\{x^{2}+\frac{3}{4}, 1+[x

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Let m and $$\mathrm{n}$$ be the numbers of real roots of the quadratic equations $$x^{2}-12 x+[x]+31=0$$ and $$x^{2}-5|

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Let $$\mathrm{P}_{1}$$ be the plane $$3 x-y-7 z=11$$ and $$\mathrm{P}_{2}$$ be the plane passing through the points $$(2

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Let $$\mathrm{R}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}\}$$ and $$\mathrm{S}=\{1,2,3,4\}$$. Total

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Let $$\mathrm{k}$$ and $$\mathrm{m}$$ be positive real numbers such that the function $$f(x)=\left\{\begin{array}{cc}3 x

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The ordinates of the points P and $$\mathrm{Q}$$ on the parabola with focus $$(3,0)$$ and directrix $$x=-3$$ are in the

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Let $$0

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Let the solution curve $$x=x(y), 0

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If domain of the function $$\log _{e}\left(\frac{6 x^{2}+5 x+1}{2 x-1}\right)+\cos ^{-1}\left(\frac{2 x^{2}-3 x+4}{3 x-5

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## Physics

A hydraulic automobile lift is designed to lift vehicles of mass $$5000 \mathrm{~kg}$$. The area of cross section of the

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An emf of $$0.08 \mathrm{~V}$$ is induced in a metal rod of length $$10 \mathrm{~cm}$$ held normal to a uniform magnetic

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For particle P revolving round the centre O with radius of circular path $$\mathrm{r}$$ and angular velocity $$\omega$$,

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In photo electric effect
A. The photocurrent is proportional to the intensity of the incident radiation
B. Maximum Kinet

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A bullet of mass $$0.1 \mathrm{~kg}$$ moving horizontally with speed $$400 \mathrm{~ms}^{-1}$$ hits a wooden block of ma

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Given below are two statements
Statement I : Area under velocity- time graph gives the distance travelled by the body in

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For a given transistor amplifier circuit in $$\mathrm{CE}$$ configuration $$\mathrm{V}_{\mathrm{CC}}=1 \mathrm{~V}, \mat

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A radio active material is reduced to $$1 / 8$$ of its original amount in 3 days. If $$8 \times 10^{-3} \mathrm{~kg}$$ o

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The acceleration due to gravity at height $$h$$ above the earth if $$h

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The power radiated from a linear antenna of length $$l$$ is proportional to
(Given, $$\lambda=$$ Wavelength of wave):

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The equivalent resistance between A and B as shown in figure is:

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The waves emitted when a metal target is bombarded with high energy electrons are

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

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Electric potential at a point '$$\mathrm{P}$$' due to a point charge of $$5 \times 10^{-9} \mathrm{C}$$ is $$50 \mathrm{

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The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surfac

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The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $$27^{\circ} \mathrm{C}

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Work done by a Carnot engine operating between temperatures $$127^{\circ} \mathrm{C}$$ and $$27^{\circ} \mathrm{C}$$ is

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The trajectory of projectile, projected from the ground is given by $$y=x-\frac{x^{2}}{20}$$. Where $$x$$ and $$y$$ are

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The width of fringe is $$2 \mathrm{~mm}$$ on the screen in a double slits experiment for the light of wavelength of $$40

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The number density of free electrons in copper is nearly $$8 \times 10^{28} \mathrm{~m}^{-3}$$. A copper wire has its ar

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Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of

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A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fu

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A series combination of resistor of resistance $$100 ~\Omega$$, inductor of inductance $$1 ~\mathrm{H}$$ and capacitor o

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A body of mass $$5 \mathrm{~kg}$$ is moving with a momentum of $$10 \mathrm{~kg} \mathrm{~ms}^{-1}$$. Now a force of $$2

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The ratio of wavelength of spectral lines $$\mathrm{H}_{\alpha}$$ and $$\mathrm{H}_{\beta}$$ in the Balmer series is $$\

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A steel rod of length $$1 \mathrm{~m}$$ and cross sectional area $$10^{-4} \mathrm{~m}^{2}$$ is heated from $$0^{\circ}

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A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity $$3 \mathrm{~m} / \mathrm{

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The ratio of magnetic field at the centre of a current carrying coil of radius $$r$$ to the magnetic field at distance $

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A $$600 ~\mathrm{pF}$$ capacitor is charged by $$200 \mathrm{~V}$$ supply. It is then disconnected from the supply and i

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