JEE Main 2023 (Online) 10th April Evening Shift

Paper was held on
Mon, Apr 10, 2023 9:30 AM

## Chemistry

Gibbs energy vs T plot for the formation of oxides is given below.
For the given diagram, the correct statement is -

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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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The major product 'P' formed in the given reaction is:

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The correct order of metallic character is =

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Buna-S can be represented as:

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Ferric chloride is applied to stop bleeding because -

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The decreasing order of hydride affinity for following carbocations is:
Choose the correct answer from the options give

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In the reaction given below:
The product 'X' is:

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

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The correct order of the number of unpaired electrons in the given complexes is
A. $$\left[\mathrm{Fe}(\mathrm{CN})_{6}\

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The correct relationships between unit cell edge length '$$a$$' and radius of sphere '$$r$$' for face-centred and body-c

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Number of water molecules in washing soda and soda ash respectively are:

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The reaction used for preparation of soap from fat is :

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The correct order for acidity of the following hydroxyl compound is :
A. $$\mathrm{CH}_{3} \mathrm{OH}$$
B. $$\left(\mat

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The delicate balance of $$\mathrm{CO}_{2}$$ and $$\mathrm{O}_{2}$$ is NOT disturbed by

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Incorrect method of preparation for alcohols from the following is:

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Match List I with List II
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In Carius tube, an organic compound '$$\mathrm{X}$$' is treated with sodium peroxide to form a mineral acid 'Y'.
The sol

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Match List I with List II
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An aqueous solution of volume $$300 \mathrm{~cm}^{3}$$ contains $$0.63 \mathrm{~g}$$ of protein. The osmotic pressure of

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The number of molecules from the following which contain only two lone pair of electrons is ________
$$\mathrm{H}_{2} \m

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For a metal ion, the calculated magnetic moment is $$4.90 ~\mathrm{BM}$$. This metal ion has ___________ number of unpai

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In alkaline medium, the reduction of permanganate anion involves a gain of __________ electrons.

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The difference in the oxidation state of $$\mathrm{Xe}$$ between the oxidised product of $$\mathrm{Xe}$$ formed on compl

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The number of incorrect statement/s from the following is ___________
A. The successive half lives of zero order reactio

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The electron in the $$\mathrm{n}^{\text {th }}$$ orbit of $$\mathrm{Li}^{2+}$$ is excited to $$(\mathrm{n}+1)$$ orbit u

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The number of endothermic process/es from the following is ______________
A. $$\mathrm{I}_{2}(\mathrm{~g}) \rightarrow 2

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$$\mathrm{A}(g) \rightleftharpoons 2 \mathrm{~B}(g)+\mathrm{C}(g)$$
For the given reaction, if the initial pressure is $

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The specific conductance of $$0.0025 ~\mathrm{M}$$ acetic acid is $$5 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}$$ at

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## Mathematics

Let $$S = \left\{ {z = x + iy:{{2z - 3i} \over {4z + 2i}}\,\mathrm{is\,a\,real\,number}} \right\}$$. Then which of the f

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The statement $$\sim[p \vee(\sim(p \wedge q))]$$ is equivalent to

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If $$\mathrm{S}_{n}=4+11+21+34+50+\ldots$$ to $$n$$ terms, then $$\frac{1}{60}\left(\mathrm{~S}_{29}-\mathrm{S}_{9}\righ

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Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate

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Let the number $$(22)^{2022}+(2022)^{22}$$ leave the remainder $$\alpha$$ when divided by 3 and $$\beta$$ when divided b

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Let a die be rolled $$n$$ times. Let the probability of getting odd numbers seven times be equal to the probability of

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Let $$\mathrm{g}(x)=f(x)+f(1-x)$$ and $$f^{\prime \prime}(x) > 0, x \in(0,1)$$. If $$\mathrm{g}$$ is decreasing in the i

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If the coefficients of $$x$$ and $$x^{2}$$ in $$(1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}$$ are 4 and $$-$$5 respectively, th

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Let the image of the point $$\mathrm{P}(1,2,6)$$ in the plane passing through the points $$\mathrm{A}(1,2,0), \mathrm{B}

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Let $$f$$ be a continuous function satisfying $$\int_\limits{0}^{t^{2}}\left(f(x)+x^{2}\right) d x=\frac{4}{3} t^{3}, \f

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For $$\alpha, \beta, \gamma, \delta \in \mathbb{N}$$, if $$\int\left(\left(\frac{x}{e}\right)^{2 x}+\left(\frac{e}{x}\ri

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Let the line $$\frac{x}{1}=\frac{6-y}{2}=\frac{z+8}{5}$$ intersect the lines $$\frac{x-5}{4}=\frac{y-7}{3}=\frac{z+2}{1}

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Let $$\mu$$ be the mean and $$\sigma$$ be the standard deviation of the distribution
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Let $$\vec{a}=2 \hat{i}+7 \hat{j}-\hat{k}, \vec{b}=3 \hat{i}+5 \hat{k}$$ and $$\vec{c}=\hat{i}-\hat{j}+2 \hat{k}$$. Let

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If the points $$\mathrm{P}$$ and $$\mathrm{Q}$$ are respectively the circumcenter and the orthocentre of a $$\triangle \

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Let $$S=\left\{x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right): 9^{1-\tan ^{2} x}+9^{\tan ^{2} x}=10\right\}$$ and
$$\b

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Let A be the point $$(1,2)$$ and B be any point on the curve $$x^{2}+y^{2}=16$$. If the centre of the locus of the point

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Let a circle of radius 4 be concentric to the ellipse $$15 x^{2}+19 y^{2}=285$$. Then the common tangents are inclined t

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Let $$\mathrm{A}=\{2,3,4\}$$ and $$\mathrm{B}=\{8,9,12\}$$. Then the number of elements in the relation
$$\mathrm{R}=\l

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If $$\mathrm{A}=\frac{1}{5 ! 6 ! 7 !}\left[\begin{array}{ccc}5 ! & 6 ! & 7 ! \\ 6 ! & 7 ! & 8 ! \\ 7 ! & 8 ! & 9 !\end{a

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Let the tangent at any point P on a curve passing through the points (1, 1) and $$\left(\frac{1}{10}, 100\right)$$, inte

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Let the foot of perpendicular from the point $$\mathrm{A}(4,3,1)$$ on the plane $$\mathrm{P}: x-y+2 z+3=0$$ be N. If B$$

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If the area of the region $$\left\{(x, \mathrm{y}):\left|x^{2}-2\right| \leq y \leq x\right\}$$ is $$\mathrm{A}$$, then

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The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to __________.

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Let $$\mathrm{S}$$ be the set of values of $$\lambda$$, for which the system of equations $$6 \lambda x-3 y+3 z=4 \lambd

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Suppose $$a_{1}, a_{2}, 2, a_{3}, a_{4}$$ be in an arithmetico-geometric progression. If the common ratio of the corresp

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If the domain of the function $$f(x)=\sec ^{-1}\left(\frac{2 x}{5 x+3}\right)$$ is $$[\alpha, \beta) \mathrm{U}(\gamma,

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Let the quadratic curve passing through the point $$(-1,0)$$ and touching the line $$y=x$$ at $$(1,1)$$ be $$y=f(x)$$. T

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In the figure, $$\theta_{1}+\theta_{2}=\frac{\pi}{2}$$ and $$\sqrt{3}(\mathrm{BE})=4(\mathrm{AB})$$. If the area of $$\t

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Let the equations of two adjacent sides of a parallelogram $$\mathrm{ABCD}$$ be $$2 x-3 y=-23$$ and $$5 x+4 y=23$$. If t

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## Physics

A person travels $$x$$ distance with velocity $$v_{1}$$ and then $$x$$ distance with velocity $$v_{2}$$ in the same dire

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If each diode has a forward bias resistance of $$25 ~\Omega$$ in the below circuit,
Which of the following options is c

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The half life of a radioactive substance is T. The time taken, for disintegrating $$\frac{7}{8}$$th part of its original

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In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor

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A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the

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A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will

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Two projectiles are projected at $$30^{\circ}$$ and $$60^{\circ}$$ with the horizontal with the same speed. The ratio of

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A gas is compressed adiabatically, which one of the following statement is NOT true.

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For a periodic motion represented by the equation
$$y=\sin \omega \mathrm{t}+\cos \omega \mathrm{t}$$
the amplitude of t

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The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is $$6.0 \times 10^{-7} \mathrm{~T}$

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The time period of a satellite, revolving above earth's surface at a height equal to $$\mathrm{R}$$ will be
(Given $$g=\

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Given below are two statements:
Statement I : For diamagnetic substance, $$-1 \leq \chi
Statement II : Diamagnetic subs

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The ratio of intensities at two points $$\mathrm{P}$$ and $$\mathrm{Q}$$ on the screen in a Young's double slit experime

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Young's moduli of the material of wires A and B are in the ratio of $$1: 4$$, while its area of cross sections are in th

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The variation of stopping potential $$\left(\mathrm{V}_{0}\right)$$ as a function of the frequency $$(v)$$ of the incide

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Given below are two statements:
Statement I : Rotation of the earth shows effect on the value of acceleration due to gra

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In an experiment with vernier callipers of least count $$0.1 \mathrm{~mm}$$, when two jaws are joined together the zero

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A message signal of frequency $$3 ~\mathrm{kHz}$$ is used to modulate a carrier signal of frequency $$1.5 ~\mathrm{MHz}$

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The distance between two plates of a capacitor is $$\mathrm{d}$$ and its capacitance is $$\mathrm{C}_{1}$$, when air is

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A force of $$-\mathrm{P} \hat{\mathrm{k}}$$ acts on the origin of the coordinate system. The torque about the point $$(2

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A straight wire carrying a current of $$14 \mathrm{~A}$$ is bent into a semi-circular arc of radius $$2.2 \mathrm{~cm}$$

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A rectangular block of mass $$5 \mathrm{~kg}$$ attached to a horizontal spiral spring executes simple harmonic motion of

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A square loop of side $$2.0 \mathrm{~cm}$$ is placed inside a long solenoid that has 50 turns per centimetre and carries

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If the maximum load carried by an elevator is $$1400 \mathrm{~kg}$$ ( $$600 \mathrm{~kg}$$ - Passengers + 800 $$\mathrm{

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An electron revolves around an infinite cylindrical wire having uniform linear charge density $$2 \times 10^{-8} \mathrm

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A rectangular parallelopiped is measured as $$1 \mathrm{~cm} \times 1 \mathrm{~cm} \times 100 \mathrm{~cm}$$. If its spe

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Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $$2.0 \mathrm{~cm}^{2}

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A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses $$\mathrm{L}_{1}$$ and $$\mathrm{L}

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If 917 $$\mathop A\limits^o $$ be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will

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