JEE Main 2023 (Online) 25th January Evening Shift

Find out the major product from the following reaction.

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Butylated hydroxy anisole when added to butter increases its shelf life.
Reason R : Butylated hydroxy anisole is more reactiv...

'A' in the given reaction is

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

Statement I : Dipole moment is a vector quantity and by convention it is depicted by a small arrow with tail on the negative centre and head pointing towards the positive centre.
Statement II : The crossed arrow of the dipole moment symboli...

A first order reaction has the rate constant, \(\mathrm{k=4.6\times10^{-3}~s^{-1}}\). The number of correct statement/s from the following is/are __________
Given : \(\mathrm{\log3=0.48}\)
A. Reaction completes in 1000 s.
B. The reaction ha...

Match List I with List II

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Match List I with List II

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Match List I with List II

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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 complexes \(\mathrm{[Co(NH_3)_4Cl_2]Cl,[Ni(H_2O)_6]Cl_2,[Pt(NH_3)_2Cl_2]}\) and \(\mathrm{[Pd(NH_3)_4]Cl_2}\) is ___________.

A chloride salt solution acidified with dil.HNO\(_3\) gives a curdy white precipitate, [A], on addition of AgNO\(_3\). [A] on treatment with NH\(_4\)OH gives a clear solution B. A and B are respectively :

\(Pt(s)|{H_2}(g)(1\,bar)|{H^ + }(aq)(1\,M)||{M^{3 + }}(aq),{M^ + }(aq)|Pt(s)\)
The \(\mathrm{E_{cell}}\) for the given cell is 0.1115 V at 298 K when \({{\left[ {{M^ + }(aq)} \right]} \over {\left[ {{M^{3 + }}(aq)} \right]}} = {10^a}\)
The ...

The isomeric deuterated bromide with molecular formula \(\mathrm{C_4H_8DBr}\) having two chiral carbon atoms is

Match List I with List II

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

Given below are two statements :
Statement I : In froth floatation method of rotating paddle agitates the mixture to drive air out of it.
Statement II : Iron pyrites and generally avoided for extraction of iron due to environmental reasons....

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Carbon forms two important oxides - CO and CO\(_2\). CO is neutral whereas CO\(_2\) is acidic in nature
Reason R : CO\(_2\) c...

A. Ammonium salts produce haze in atmosphere.
B. Ozone gets produced when atmospheric oxygen reacts with chlorine radicals.
C. Polychlorinated biphenyls act as cleansing solvents.
D. 'Blue baby' syndrome occurs due to the presence of excess...

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

Match List I with List II

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...

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

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

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The alkali metals and their salts impart characteristic colour to reducing flame.
Reason R : Alkali metals can be detected us...

The number of pairs of the solutions having the same value of the osmotic pressure from the following is _________.
(Assume 100% ionization)
A. 0.500 \(\mathrm{M~C_2H_5OH~(aq)}\) and 0.25 \(\mathrm{M~KBr~(aq)}\)
B. 0.100 $$\mathrm{M~K_4[Fe(...

What is the mass ratio of ethylene glycol (\(\mathrm{C_2H_6O_2}\), molar mass = 62 g/mol) required for making 500 g of 0.25 molal aqueous solution and 250 mL of 0.25 molar aqueous solution?

Number of hydrogen atoms per molecule of a hydrocarbon A having 85.8% carbon is __________ (Given : Molar mass of A = 84 g mol\(^{-1}\))

The number of given orbitals which have electron density along the axis is _________
\(\mathrm{p_x,p_y,p_z,d_{xy},d_{yz},d_{xz},d_{z^2},d_{x^2-y^2}}\)

Based on the given figure, the number of correct statement/s is/are __________.

A. Surface tension is the outcome of equal attractive and repulsive forces acting on the liquid molecule in bulk.
B. Surface tension is due to uneven forces ac...

The number of incorrect statement/s from the following is/are ___________
A. Water vapours are adsorbed by anhydrous calcium chloride.
B. There is a decrease in surface energy during adsorption.
C. As the adsorption proceeds, \(\Delta\)H be...

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 and 1 atm. Heat evolved during the combustion process is ___________ kJ.
Given : $$\mathrm{\Delta H_c~(CH_4)=-900~kJ~mol^...

The foot of perpendicular of the point (2, 0, 5) on the line \({{x + 1} \over 2} = {{y - 1} \over 5} = {{z + 1} \over { - 1}}\) is (\(\alpha,\beta,\gamma\)). Then, which of the following is NOT correct?

The shortest distance between the lines \(x+1=2y=-12z\) and \(x=y+2=6z-6\) is :

If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4), and the line \({{x - 1} \over 2} = {{y + 1} \over { - 1}} = {{z - 2} \over 0}\) is \(\alpha\), then 28\(\alpha^2\) is equal to ____________.

Let the function \(f(x) = 2{x^3} + (2p - 7){x^2} + 3(2p - 9)x - 6\) have a maxima for some value of \(x < 0\) and a minima for some value of \(x > 0\). Then, the set of all values of p is

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

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 points Q and R intersect at the point S. If S lies on the line \(2x-ky=1\), then k is equal to ____________.

Let \(z\) be a complex number such that \(\left| {{{z - 2i} \over {z + i}}} \right| = 2,z \ne - i\). Then \(z\) lies on the circle of radius 2 and centre :

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

If \(\int\limits_{{1 \over 3}}^3 {|{{\log }_e}x|dx = {m \over n}{{\log }_e}\left( {{{{n^2}} \over e}} \right)}\), where m and n are coprime natural numbers, then \({m^2} + {n^2} - 5\) is equal to _____________.

Let \(y=y(t)\) be a solution of the differential equation \({{dy} \over {dt}} + \alpha y = \gamma {e^{ - \beta t}}\) where, \(\alpha > 0,\beta > 0\) and \(\gamma > 0\). Then \(\mathop {\lim }\limits_{t \to \infty } y(t)\)

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

Let \(f:\mathbb{R}\to\mathbb{R}\) be a function defined by \(f(x) = {\log _{\sqrt m }}\{ \sqrt 2 (\sin x - \cos x) + m - 2\}\), for some \(m\), such that the range of \(f\) is [0, 2]. Then the value of \(m\) is _________

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 integer divisors of \((f(3) - f(2))\) is

Let T and C respectively be the transverse and conjugate axes of the hyperbola \(16{x^2} - {y^2} + 64x + 4y + 44 = 0\). Then the area of the region above the parabola \({x^2} = y + 4\), below the transverse axis T and on the right of the co...

If the function $$f(x) = \left\{ {\matrix{
{(1 + |\cos x|)^{\lambda \over {|\cos x|}}} & , & {0 < x < {\pi \over 2}} \cr
\mu & , & {x = {\pi \over 2}} \cr
e^{{{\cot 6x} \over {{}\cot 4x}}} & , & {{\pi \over 2} < x < \pi } ...

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

Let A, B, C be 3 \(\times\) 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements
(S1) A\(^{13}\) B\(^{26}\) \(-\) B\(^{26}\) A\(^{13}\) is symmetric
(S2) A\(^{26}\) C\(^{13}\) \(-\) C\(^{13}\) A$$^{26}...

Let \(A = \left[ {\matrix{ {{1 \over {\sqrt {10} }}} & {{3 \over {\sqrt {10} }}} \cr {{{ - 3} \over {\sqrt {10} }}} & {{1 \over {\sqrt {10} }}} \cr } } \right]\) and $$B = \left[ {\matrix{
1 & { - i} \cr
0 & 1 \cr

} ...

The equations of two sides of a variable triangle are \(x=0\) and \(y=3\), and its third side is a tangent to the parabola \(y^2=6x\). The locus of its circumcentre is :

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