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

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

View Question Find out the major products from the following reactions.

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

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

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

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

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

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

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

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

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

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

View Question Which will undergo deprotonation most readily in the basic medium?

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

View Question Correct statement is :

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

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

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

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

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

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

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

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

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

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

View Question 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

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

View Question ## 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

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

View Question 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

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

View Question 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

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

View Question 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

View Question 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

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

View Question 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 $

View Question 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

View Question 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

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

View Question 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

View Question 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

View Question 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

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

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

View Question $$\int\limits_{{{3\sqrt 2 } \over 4}}^{{{3\sqrt 3 } \over 4}} {{{48} \over {\sqrt {9 - 4{x^2}} }}dx} $$ is equal to :

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

View Question 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

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

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

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

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

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

View Question 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.

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

View Question 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 __________

View Question 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

View Question ## Physics

The logic gate equivalent to the given circuit diagram is :

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

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

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

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

View Question Match List I with List II
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View Question Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : A pe

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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.

View Question 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

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

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

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

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

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

View Question 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

View Question 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

View Question 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

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

View Question