JEE Main 2023 (Online) 24th January Evening Shift

Paper was held on
Tue, Jan 24, 2023 9:30 AM

## Chemistry

The number of s-electrons present in an ion with 55 protons in its unipositive state is

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In which of the following reactions the hydrogen peroxide acts as a reducing agent?

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Find out the major products from the following reactions.

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The metal which is extracted by oxidation and subsequent reduction from its ore is :

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What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species : $$\mathr

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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 : Benze

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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 : Beryl

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Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide.

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Given below are two statements :
In the light of the above statements, choose the correct answer from the options give

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Choose the correct colour of the product for the following reaction.

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Which one amongst the following are good oxidizing agents?
A. Sm$$^{2+}$$
B. Ce$$^{2+}$$
C. Ce$$^{4+}$$
D. Tb$$^{4+}$$
C

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A student has studied the decomposition of a gas AB$$_3$$ at 25$$^\circ$$C. He obtained the following data.
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The hybridization and magnetic behaviour of cobalt ion in $$\mathrm{[Co(NH_3)_6]^{3+}}$$ complex, respectively is

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$$\mathrm{K_2Cr_2O_7}$$ paper acidified with dilute $$\mathrm{H_2SO_4}$$ turns green when exposed to

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Which will undergo deprotonation most readily in the basic medium?

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Which of the following cannot be explained by crystal field theory?

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Correct statement is :

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Identify the correct statements about alkali metals.
A. The order of standard reduction potential (M$$^+$$
| M) for al

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Match List I with List II
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Given below are two statements:
Statement I : Pure Aniline and other arylamines are usually colourless.
Statement II : A

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Total number of tripeptides possible by mixing of valine and proline is ___________

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One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by th

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Maximum number of isomeric monochloro derivatives which can be obtained from 2,2,5,5-tetramethylhexane by chlorination i

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Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s

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The number of statement/s which are the characteristics of physisorption is __________
A. It is highly specific in natur

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The number of statement/s, which are correct with respect to the compression of carbon dioxide from point (a) in the And

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Sum of $$\pi$$-bonds present in peroxodisulphuric acid and pyrosulphuric acid is ___________

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The number of units, which are used to express concentration of solutions from the following is _________
Mass percent,

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The total pressure observed by mixing two liquids A and B is 350 mm Hg when their mole fractions are 0.7 and 0.3 respect

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If the pKa of lactic acid is 5, then the pH of 0.005 M calcium lactate solution at 25$$^\circ$$C is ___________ $$\times

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## Mathematics

Let $$f(x)$$ be a function such that $$f(x+y)=f(x).f(y)$$ for all $$x,y\in \mathbb{N}$$. If $$f(1)=3$$ and $$\sum\limits

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The number of real solutions of the equation $$3\left( {{x^2} + {1 \over {{x^2}}}} \right) - 2\left( {x + {1 \over x}} \

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If the foot of the perpendicular drawn from (1, 9, 7) to the line passing through the point (3, 2, 1) and parallel to th

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The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7, 8 without repetition is

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Let A be a 3 $$\times$$ 3 matrix such that $$\mathrm{|adj(adj(adj~A))|=12^4}$$. Then $$\mathrm{|A^{-1}~adj~A|}$$ is equa

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Let $$\overrightarrow \alpha = 4\widehat i + 3\widehat j + 5\widehat k$$ and $$\overrightarrow \beta = \widehat i +

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If the system of equations
$$x+2y+3z=3$$
$$4x+3y-4z=4$$
$$8x+4y-\lambda z=9+\mu$$
has infinitely many solutions, then th

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Let the plane containing the line of intersection of the planes P1 : $$x+(\lambda+4)y+z=1$$ and P2 : $$2x+y+z=2$$ pass t

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The set of all values of $$a$$ for which $$\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0$$, where [$$\alpha$

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The locus of the mid points of the chords of the circle $${C_1}:{(x - 4)^2} + {(y - 5)^2} = 4$$ which subtend an angle $

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Let $$y=y(x)$$ be the solution of the differential equation $$(x^2-3y^2)dx+3xy~dy=0,y(1)=1$$. Then $$6y^2(e)$$ is equal

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The equations of the sides AB and AC of a triangle ABC are $$(\lambda+1)x+\lambda y=4$$ and $$\lambda x+(1-\lambda)y+\la

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If $$f(x) = {{{2^{2x}}} \over {{2^{2x}} + 2}},x \in \mathbb{R}$$, then $$f\left( {{1 \over {2023}}} \right) + f\left( {{

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The number of square matrices of order 5 with entries from the set {0, 1}, such that the sum of all the elements in each

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Let the six numbers $$\mathrm{a_1,a_2,a_3,a_4,a_5,a_6}$$, be in A.P. and $$\mathrm{a_1+a_3=10}$$. If the mean of these s

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The value of $${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\co

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If $$f(x) = {x^3} - {x^2}f'(1) + xf''(2) - f'''(3),x \in \mathbb{R}$$, then

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Let p and q be two statements. Then $$ \sim \left( {p \wedge (p \Rightarrow \, \sim q)} \right)$$ is equivalent to

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$$\int_{{{3\sqrt 2 } \over 4}}^{{{3\sqrt 3 } \over 4}} {{{48} \over {\sqrt {9 - 4{x^2}} }}dx} $$ is equal to

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If $${({}^{30}{C_1})^2} + 2{({}^{30}{C_2})^2} + 3{({}^{30}{C_3})^2}\, + \,...\, + \,30{({}^{30}{C_{30}})^2} = {{\alpha 6

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The minimum number of elements that must be added to the relation R = {(a, b), (b, c), (b, d)} on the set {a, b, c, d} s

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Let $$\mathrm{S = \{ \theta \in [0,2\pi ):\tan (\pi \cos \theta ) + \tan (\pi \sin \theta ) = 0\}}$$. Then $$\sum\limit

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If the shortest between the lines $${{x + \sqrt 6 } \over 2} = {{y - \sqrt 6 } \over 3} = {{z - \sqrt 6 } \over 4}$$ and

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Let $$\overrightarrow a = \widehat i + 2\widehat j + \lambda \widehat k,\overrightarrow b = 3\widehat i - 5\widehat j

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If $${{{1^3} + {2^3} + {3^3}\, + \,...\,up\,to\,n\,terms} \over {1\,.\,3 + 2\,.\,5 + 3\,.\,7\, + \,...\,up\,to\,n\,terms

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Let the sum of the coefficients of the first three terms in the expansion of $${\left( {x - {3 \over {{x^2}}}} \right)^n

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The equations of the sides AB, BC and CA of a triangle ABC are : $$2x+y=0,x+py=21a,(a\pm0)$$ and $$x-y=3$$ respectively.

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Let $$f$$ be $$a$$ differentiable function defined on $$\left[ {0,{\pi \over 2}} \right]$$ such that $$f(x) > 0$$ and $

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If the area of the region bounded by the curves $$y^2-2y=-x,x+y=0$$ is A, then 8 A is equal to __________

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Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and $$\lambda$$ red, 4 black balls respectively. One of th

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## Physics

The logic gate equivalent to the given circuit diagram is :

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The velocity time graph of a body moving in a straight line is shown in the figure.
The ratio of displacement to distan

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A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced insi

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A cell of emf 90 V is connected across series combination of two resistors each of 100$$\Omega$$ resistance. A voltmeter

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An $$\alpha$$-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in

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Match List I with List II
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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 : A pe

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Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of

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When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of l

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In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature;

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The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by
$$\math

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A metallic rod of length 'L' is rotated with an angular speed of '$$\omega$$' normal to a uniform magnetic field 'B' abo

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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 : Steel

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If the distance of the earth from Sun is 1.5 $$\times$$ 10$$^6$$ km. Then the distance of an imaginary planet from Sun,

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The electric potential at the centre of two concentric half rings of radii R$$_1$$ and R$$_2$$, having same linear charg

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Given below are two statements:
Statement I : Acceleration due to earth's gravity decreases as you go 'up' or 'down' fro

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A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this tran

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The frequency ($$\nu$$) of an oscillating liquid drop may depend upon radius ($$r$$) of the drop, density ($$\rho$$) of

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If two vectors $$\overrightarrow P = \widehat i + 2m\widehat j + m\widehat k$$ and $$\overrightarrow Q = 4\widehat i -

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A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O.

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A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of t

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A body of mass 1kg begins to move under the action of a time dependent force $$\overrightarrow F = \left( {t\widehat i

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The energy released per fission of nucleus of $$^{240}$$X is 200 MeV. The energy released if all the atoms in 120g of pu

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A uniform solid cylinder with radius R and length L has moment of inertia I$$_1$$, about the axis of the cylinder. A con

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If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is ______

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A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate become

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A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of

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A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and d

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A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period

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Three identical resistors with resistance R = 12$$\Omega$$ and two identical inductors with self inductance L = 5 mH are

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