JEE Main 2023 (Online) 25th January Evening Shift

Paper was held on
Wed, Jan 25, 2023 9:30 AM

## Chemistry

Which one among the following metals is the weakest reducing agent?

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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 : Carbo

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'A' in the given reaction is

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When the hydrogen ion concentration [H$$^+$$] changes by a factor of 1000, the value of pH of the solution __________

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Match List I with List II
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What is the mass ratio of ethylene glycol ($$\mathrm{C_2H_6O_2}$$, molar mass = 62 g/mol) required for making 500 g of 0

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Find out the major product from the following reaction.

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Match List I with List II
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The isomeric deuterated bromide with molecular formula $$\mathrm{C_4H_8DBr}$$ having two chiral carbon atoms is

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Given below are two statements :
Statement I : In froth floatation method of rotating paddle agitates the mixture to dri

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Match List I with List II
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A. Ammonium salts produce haze in atmosphere.
B. Ozone gets produced when atmospheric oxygen reacts with chlorine radica

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Statement I : Dipole moment is a vector quantity and by convention it is depicted by a small arrow with tail on the nega

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Which of the following represents the correct order of metallic character of the given elements?

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A chloride salt solution acidified with dil.HNO$$_3$$ gives a curdy white precipitate, [A], on addition of AgNO$$_3$$. [

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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 : Butyl

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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 : The a

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Potassium dichromate acts as a strong oxidizing agent in acidic solution. During this process, the oxidation state chang

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Based on the given figure, the number of correct statement/s is/are __________.
A. Surface tension is the outcome of eq

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28.0 L of CO$$_2$$ is produced on complete combustion of 16.8 L gaseous mixture of ethene and methane at 25$$^\circ$$C a

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The number of pairs of the solutions having the same value of the osmotic pressure from the following is _________.
(Ass

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A first order reaction has the rate constant, $$\mathrm{k=4.6\times10^{-3}~s^{-1}}$$. The number of correct statement/s

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The number of incorrect statement/s from the following is/are ___________
A. Water vapours are adsorbed by anhydrous cal

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$$Pt(s)|{H_2}(g)(1\,bar)|{H^ + }(aq)(1\,M)||{M^{3 + }}(aq),{M^ + }(aq)|Pt(s)$$
The $$\mathrm{E_{cell}}$$ for the given c

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The number of given orbitals which have electron density along the axis is _________
$$\mathrm{p_x,p_y,p_z,d_{xy},d_{yz}

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Total number of moles of AgCl precipitated on addition of excess of AgNO$$_3$$ to one mole each of the following complex

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Number of compounds giving (i) red colouration with ceric ammonium nitrate and also (ii) positive iodoform test from the

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Number of hydrogen atoms per molecule of a hydrocarbon A having 85.8% carbon is __________ (Given : Molar mass of A = 84

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## Mathematics

The equations of two sides of a variable triangle are $$x=0$$ and $$y=3$$, and its third side is a tangent to the parabo

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The foot of perpendicular of the point (2, 0, 5) on the line $${{x + 1} \over 2} = {{y - 1} \over 5} = {{z + 1} \over {

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The number of functions
$$f:\{ 1,2,3,4\} \to \{ a \in Z|a| \le 8\} $$
satisfying $$f(n) + {1 \over n}f(n + 1) = 1,\fora

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Let N be the sum of the numbers appeared when two fair dice are rolled and let the probability that $$N-2,\sqrt{3N},N+2$

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If the function $$f(x) = \left\{ {\matrix{
{(1 + |\cos x|)^{\lambda \over {|\cos x|}}} & , & {0
is continuous at $$

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Let A, B, C be 3 $$\times$$ 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements

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The shortest distance between the lines $$x+1=2y=-12z$$ and $$x=y+2=6z-6$$ is

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Let T and C respectively be the transverse and conjugate axes of the hyperbola $$16{x^2} - {y^2} + 64x + 4y + 44 = 0$$.

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Let the function $$f(x) = 2{x^3} + (2p - 7){x^2} + 3(2p - 9)x - 6$$ have a maxima for some value of $$x 0$$. Then, the

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Let $$\Delta ,\nabla \in \{ \wedge , \vee \} $$ be such that $$\mathrm{(p \to q)\Delta (p\nabla q)}$$ is a tautology.

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Let $$z$$ be a complex number such that $$\left| {{{z - 2i} \over {z + i}}} \right| = 2,z \ne - i$$. Then $$z$$ lies on

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The integral $$16\int\limits_1^2 {{{dx} \over {{x^3}{{\left( {{x^2} + 2} \right)}^2}}}} $$ is equal to

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Let $$f:\mathbb{R}\to\mathbb{R}$$ be a function defined by $$f(x) = {\log _{\sqrt m }}\{ \sqrt 2 (\sin x - \cos x) + m -

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The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition,

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Let $$y=y(t)$$ be a solution of the differential equation $${{dy} \over {dt}} + \alpha y = \gamma {e^{ - \beta t}}$$ whe

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Let $$\overrightarrow a = - \widehat i - \widehat j + \widehat k,\overrightarrow a \,.\,\overrightarrow b = 1$$ and $

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If the four points, whose position vectors are $$3\widehat i - 4\widehat j + 2\widehat k,\widehat i + 2\widehat j - \wid

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Let $$A = \left[ {\matrix{
{{1 \over {\sqrt {10} }}} & {{3 \over {\sqrt {10} }}} \cr
{{{ - 3} \over {\sqrt {10}

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$$\sum\limits_{k = 0}^6 {{}^{51 - k}{C_3}} $$ is equal to

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Let $$f(x) = 2{x^n} + \lambda ,\lambda \in R,n \in N$$, and $$f(4) = 133,f(5) = 255$$. Then the sum of all the positive

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25% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non smoker. A person

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A triangle is formed by X-axis, Y-axis and the line $$3x+4y=60$$. Then the number of points P(a, b) which lie strictly i

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The remainder when (2023)$$^{2023}$$ is divided by 35 is __________.

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If $$\int\limits_{{1 \over 3}}^3 {|{{\log }_e}x|dx = {m \over n}{{\log }_e}\left( {{{{n^2}} \over e}} \right)} $$, where

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Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges.

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For the two positive numbers $$a,b,$$ if $$a,b$$ and $$\frac{1}{18}$$ are in a geometric progression, while $$\frac{1}{a

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If m and n respectively are the numbers of positive and negative values of $$\theta$$ in the interval $$[-\pi,\pi]$$ tha

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If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4), and the line $${{x - 1} \over 2} =

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Points P($$-$$3, 2), Q(9, 10) and R($$\alpha,4$$) lie on a circle C and PR as its diameter. The tangents to C at the poi

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Let $$\alpha \in\mathbb{R}$$ and let $$\alpha,\beta$$ be the roots of the equation $${x^2} + {60^{{1 \over 4}}}x + a = 0

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## Physics

The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by

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A particle executes simple harmonic motion between $$x=-A$$ and $$x=+A$$. If time taken by particle to go from $$x=0$$ t

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The distance travelled by a particle is related to time t as $$x=4\mathrm{t}^2$$. The velocity of the particle at t=5s i

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A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of 2T. The magnitude of induced emf,

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Consider a block kept on an inclined plane (incline at 45$$^\circ$$) as shown in the figure. If the force required to ju

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Every planet revolves around the sun in an elliptical orbit :-
A. The force acting on a planet is inversely proportional

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Two objects are projected with same velocity 'u' however at different angles $$\alpha$$ and $$\beta$$ with the horizonta

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The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point

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A point charge of 10 $$\mu$$C is placed at the origin. At what location on the X-axis should a point charge of 40 $$\mu$

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The resistance of a wire is 5 $$\Omega$$. It's new resistance in ohm if stretched to 5 times of it's original length wil

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Statement I : When a Si sample is doped with Boron, it becomes P type and when doped by Arsenic it becomes N-type semi c

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According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molec

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A body of mass is taken from earth surface to the height h equal to twice the radius of earth (R$$_e$$), the increase in

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For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If

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Given below are two statements :
Statement I : Stopping potential in photoelectric effect does not depend on the power o

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The energy levels of an atom is shown in figure.
Which one of these transitions will result in the emission of a photon

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A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of their nucle

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Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each o

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A capacitor has capacitance 5$$\mu$$F when it's parallel plates are separated by air medium of thickness d. A slab of ma

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An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the

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Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal resistance of 3$$\Omega$$.

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A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance R = 80$$\Omega$$, a

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If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the

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A train blowing a whistle of frequency 320 Hz approaches an observer standing on the platform at a speed of 66 m/s. The

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A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body

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A spherical drop of liquid splits into 1000 identical spherical drops. If u$$_\mathrm{i}$$ is the surface energy of the

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