JEE Main 2023 (Online) 24th January Evening Shift

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Benzene is more stable than hypothetical cyclohexatriene
Reason R : The delocalised \(\pi\) electron cloud is attracted more ...

Which will undergo deprotonation most readily in the basic medium?

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

What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species : \(\mathrm{{N_2};N_2^ + ;{O_2};O_2^ + }\) ?

A student has studied the decomposition of a gas AB\(_3\) at 25\(^\circ\)C. He obtained the following data.

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Match List I with List II

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Given below are two statements :


In the light of the above statements, choose the correct answer from the options given below:

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

Given below are two statements:
Statement I : Pure Aniline and other arylamines are usually colourless.
Statement II : Arylamines get coloured on storage due to atmospheric reduction.
In the light of the above statements, choose the most ap...

The hybridization and magnetic behaviour of cobalt ion in \(\mathrm{[Co(NH_3)_6]^{3+}}\) complex, respectively is :

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

Which one amongst the following are good oxidizing agents?
A. Sm\(^{2+}\)
B. Ce\(^{2+}\)
C. Ce\(^{4+}\)
D. Tb\(^{4+}\)
Choose the most appropriate answer from the options given below :

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

Correct statement is :

The number of statement/s, which are correct with respect to the compression of carbon dioxide from point (a) in the Andrews isotherm from the following is ___________

A. Carbon dioxide remains as a gas upto point (b)
B. Liquid carbon diox...

Find out the major products from the following reactions.

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

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

If the pKa of lactic acid is 5, then the pH of 0.005 M calcium lactate solution at 25\(^\circ\)C is ___________ \(\times\) 10\(^{-1}\) (Nearest integer)

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

\(\mathrm{K_2Cr_2O_7}\) paper acidified with dilute \(\mathrm{H_2SO_4}\) turns green when exposed to :

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

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Beryllium has less negative value of reduction potential compared to the other alkaline earth metals.
Reason R : Beryllium ha...

Identify the correct statements about alkali metals.
A. The order of standard reduction potential (M\(^+\)
| M) for alkali metal ions is Na > Rb > Li.
B. CsI is highly soluble in water.
C. Lithium carbonate is highly stable to heat.
D. Po...

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 respectively.
The total pressure becomes 410 mm Hg if the mole fractions are changed to 0.2 and 0.8 respectively for A and B. T...

The number of units, which are used to express concentration of solutions from the following is _________
Mass percent, Mole, Mole fraction, Molarity, ppm, Molality

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

The number of statement/s which are the characteristics of physisorption is __________
A. It is highly specific in nature
B. Enthalpy of adsorption is high
C. It decreases with increase in temperature
D. It results into unimolecular layer
E...

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is __________ J (nearest integer)

Given ; \(\log2=0.3\)
\(\ln10=2.3\)

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

A. \(\mathrm{T_4 > T_3 > T_2 > T_1}\)
B. The black body consists of particles perf...

If the foot of the perpendicular drawn from (1, 9, 7) to the line passing through the point (3, 2, 1) and parallel to the planes \(x+2y+z=0\) and \(3y-z=3\) is (\(\alpha,\beta,\gamma\)), then \(\alpha+\beta+\gamma\) is equal to :

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 through the points (0, 1, 0) and (1, 0, 1). Then the distance of the point (2\(\lambda,\lambda,-\lambda\)) from the plane...

If the shortest between the lines \({{x + \sqrt 6 } \over 2} = {{y - \sqrt 6 } \over 3} = {{z - \sqrt 6 } \over 4}\) and \({{x - \lambda } \over 3} = {{y - 2\sqrt 6 } \over 4} = {{z + 2\sqrt 6 } \over 5}\) is 6, then the square of sum of al...

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 __________

If \({({}^{30}{C_1})^2} + 2{({}^{30}{C_2})^2} + 3{({}^{30}{C_3})^2}\, + \,...\, + \,30{({}^{30}{C_{30}})^2} = {{\alpha 60!} \over {{{(30!)}^2}}}\) then \(\alpha\) is equal to :

Let the sum of the coefficients of the first three terms in the expansion of \({\left( {x - {3 \over {{x^2}}}} \right)^n},x \ne 0.~n \in \mathbb{N}\), be 376. Then the coefficient of \(x^4\) is __________.

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 \({\theta _i}\) at the centre of the circle \(C_1\), is a circle of radius \(r_i\). If $${\theta _1} = {\pi \over 3},{\t...

The value of \({\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}\) is

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

Let \(f\) be \(a\) differentiable function defined on \(\left[ {0,{\pi \over 2}} \right]\) such that \(f(x) > 0\) and \(f(x) + \int_0^x {f(t)\sqrt {1 - {{({{\log }_e}f(t))}^2}} dt = e,\forall x \in \left[ {0,{\pi \over 2}} \right]}\). The...

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 to

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

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 \(\sum\limits_{k = 1}^n {f(k) = 3279}\), then the value of n is

If \(f(x) = {{{2^{2x}}} \over {{2^{2x}} + 2}},x \in \mathbb{R}\), then \(f\left( {{1 \over {2023}}} \right) + f\left( {{2 \over {2023}}} \right)\, + \,...\, + \,f\left( {{{2022} \over {2023}}} \right)\) is equal to

The set of all values of \(a\) for which \(\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0\), where [\(\alpha\)] denotes the greatest integer less than or equal to \(\alpha\) is equal to

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

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

If the system of equations
\(x+2y+3z=3\)
\(4x+3y-4z=4\)
\(8x+4y-\lambda z=9+\mu\)
has infinitely many solutions, then the ordered pair (\(\lambda,\mu\)) is equal to :

The equations of the sides AB and AC of a triangle ABC are \((\lambda+1)x+\lambda y=4\) and \(\lambda x+(1-\lambda)y+\lambda=0\) respectively. Its vertex A is on the y-axis and its orthocentre is (1, 2). The length of the tangent from the p...

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