JEE Main 2023 (Online) 29th January Evening Shift

A solution of \(\mathrm{Cr O_5}\) in amyl alcohol has a __________ colour.

Find out the major product for the following reaction.

The denticity of the ligand present in the Fehling's reagent is ___________.

Find out the major products from the following reaction sequence.

Following tetrapeptide can be represented as

(F, L, D, Y, I, Q, P are one letter codes for amino acids)

According to MO theory the bond orders for \(\mathrm{O}\)\(_2^{2 - }\), \(\mathrm{CO}\) and \(\mathrm{NO^+}\) respectively, are

At 298 K
\(\mathrm{N_2~(g)+3H_2~(g)\rightleftharpoons~2NH_3~(g),~K_1=4\times10^5}\)
\(\mathrm{N_2~(g)+O_2~(g)\rightleftharpoons~2NO~(g),~K_2=1.6\times10^{12}}\)
$$\mathrm{H_2~(g)+\frac{1}{2}O_2~(g)\rightleftharpoons~H_2O~(g),~K_3=1.0\times1...

For conversion of compound A \(\to\) B, the rate constant of the reaction was found to be \(\mathrm{4.6\times10^{-5}~L~mol^{-1}~s^{-1}}\). The order of the reaction is ____________.

A doctor prescribed the drug Equanil to a patient. The patient was likely to have symptoms of which disease?

Reaction of propanamide with \(\mathrm{Br_2/KOH(aq)}\) produces :

Correct order of spin only magnetic moment of the following complex ions is :
(Given At.no. Fe : 26, Co : 27)

Given below are two statements :
Statement I : Nickel is being used as the catalyst for producing syn gas and edible fats.
Statement II : Silicon forms both electron rich and electron deficient hydrides.
In the light of the above statements...

The set of correct statements is :
(i) Manganese exhibits +7 oxidation state in its oxide.
(ii) Ruthenium and Osmium exhibit +8 oxidation in their oxides.
(iii) Sc shows +4 oxidation state which is oxidizing in nature.
(iv) Cr shows oxidisi...

An indicator 'X' is used for studying the effect of variation in concentration of iodide on the rate of reaction of iodide ion with \(\mathrm{H_2O_2}\) at room temp. The indicator 'X' forms blue coloured complex with compound 'A' present in...

The equilibrium constant for the reaction
\(\mathrm{Zn(s)+Sn^{2+}(aq)}\) \(\rightleftharpoons\) \(\mathrm{Zn^{2+}(aq)+Sn(s)}\) is \(1\times10^{20}\) at 298 K. The magnitude of standard electrode potential of \(\mathrm{Sn/Sn^{2+}}\) if $$\ma...

The concentration of dissolved Oxygen in water for growth of fish should be more than \(\mathrm{\underline X }\) ppm and Biochemical Oxygen Demand in clean water should be less than \(\mathrm{\underline Y }\) ppm. X and Y in ppm are, respec...

The one giving maximum number of isomeric alkenes on dehydrohalogenation reaction is (excluding rearrangement)

The major component of which of the following ore is sulphide based mineral?

Given below are two statements :
Statement I : The decrease in first ionization enthalpy from B to Al is much larger than that from Al to Ga.
Statement II : The d orbitals in Ga are completely filled.
In the light of the above statements, c...

Total number of acidic oxides among
\(\mathrm{N_2O_3,NO_2,N_2O,Cl_2O_7,SO_2,CO,CaO,Na_2O}\) and \(\mathrm{NO}\) is ____________.

Match List I with List II

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On heating, \(\mathrm{LiNO_3}\) gives how many compounds among the following __________
\(\mathrm{Li_2O,N_2,O_2,LiNO_2,NO_2}\)

A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _________ \(\times\) \(10^{21}\) (Nearest integer).
(Given \(\mathrm{N_A=6.02\times10^{23}}\))

Match List I with List II

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...

When a hydrocarbon A undergoes combustion in the presence of air, it requires 9.5 equivalents of oxygen and produces 3 equivalents of water. What is the molecular formula of A?

The volume of HCl, containing 73 g L\(^{-1}\), required to completely neutralise NaOH obtained by reacting 0.69 g of metallic sodium with water, is __________ mL. (Nearest Integer)
(Given : molar masses of Na, Cl, O, H, are 23, 35.5, 16 and...

When 0.01 mol of an organic compound containing 60% carbon was burnt completely, 4.4 g of CO\(_2\) was produced. The molar mass of compound is _____________ g mol\(^{-1}\) (Nearest integer).

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 \(\mathrm{\mathop A\limits^o }\). The radius of the third Bohr orbit of He\(^+\) is __________ picometer. (Nearest Integer)

Match List I and List II

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Which of the following relations are correct?
(A) \(\mathrm{\Delta U=q+p\Delta V}\)
(B) \(\mathrm{\Delta G=\Delta H-T\Delta S}\)
(C) \(\Delta \mathrm{S}=\frac{q_{rev}}{T}\)
(D) \(\mathrm{\Delta H=\Delta U-\Delta nRT}\)
Choose the most appro...

The plane \(2x-y+z=4\) intersects the line segment joining the points A (\(a,-2,4)\) and B (\(2,b,-3)\) at the point C in the ratio 2 : 1 and the distance of the point C from the origin is \(\sqrt5\). If \(ab < 0\) and P is the point $$(a-b...

If the lines \({{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over 1}\) and \({{x - a} \over 2} = {{y + 2} \over 3} = {{z - 3} \over 1}\) intersect at the point P, then the distance of the point P from the plane \(z = a\) is :

The shortest distance between the lines \({{x - 1} \over 2} = {{y + 8} \over -7} = {{z - 4} \over 5}\) and \({{x - 1} \over 2} = {{y - 2} \over 1} = {{z - 6} \over { - 3}}\) is :

If the equation of the normal to the curve \(y = {{x - a} \over {(x + b)(x - 2)}}\) at the point (1, \(-\)3) is \(x - 4y = 13\), then the value of \(a + b\) is equal to ___________.

The area of the region \(A = \left\{ {(x,y):\left| {\cos x - \sin x} \right| \le y \le \sin x,0 \le x \le {\pi \over 2}} \right\}\) is

Let K be the sum of the coefficients of the odd powers of \(x\) in the expansion of \((1+x)^{99}\). Let \(a\) be the middle term in the expansion of \({\left( {2 + {1 \over {\sqrt 2 }}} \right)^{200}}\). If $${{{}^{200}{C_{99}}K} \over a} =...

A circle with centre (2, 3) and radius 4 intersects the line \(x+y=3\) at the points P and Q. If the tangents at P and Q intersect at the point \(S(\alpha,\beta)\), then \(4\alpha-7\beta\) is equal to ___________.

Let \(\alpha = 8 - 14i,A = \left\{ {z \in c:{{\alpha z - \overline \alpha \overline z } \over {{z^2} - {{\left( {\overline z } \right)}^2} - 112i}}=1} \right\}\) and \(B = \left\{ {z \in c:\left| {z + 3i} \right| = 4} \right\}\). Then $$\...

The value of the integral \(\int_1^2 {\left( {{{{t^4} + 1} \over {{t^6} + 1}}} \right)dt}\) is

The value of the integral \(\int\limits_{1/2}^2 {{{{{\tan }^{ - 1}}x} \over x}dx}\) is equal to :

Let \(y=y(x)\) be the solution of the differential equation \(x{\log _e}x{{dy} \over {dx}} + y = {x^2}{\log _e}x,(x > 1)\). If \(y(2) = 2\), then \(y(e)\) is equal to

Let \(f\) and \(g\) be the twice differentiable functions on \(\mathbb{R}\) such that
\(f''(x)=g''(x)+6x\)
\(f'(1)=4g'(1)-3=9\)
\(f(2)=3g(2)=12\).
Then which of the following is NOT true?

Consider a function \(f:\mathbb{N}\to\mathbb{R}\), satisfying \(f(1)+2f(2)+3f(3)+....+xf(x)=x(x+1)f(x);x\ge2\) with \(f(1)=1\). Then \(\frac{1}{f(2022)}+\frac{1}{f(2028)}\) is equal to

The statement \(B \Rightarrow \left( {\left( { \sim A} \right) \vee B} \right)\) is equivalent to :

The set of all values of \(\mathrm{t\in \mathbb{R}}\), for which the matrix $$\left[ {\matrix{
{{e^t}} & {{e^{ - t}}(\sin t - 2\cos t)} & {{e^{ - t}}( - 2\sin t - \cos t)} \cr
{{e^t}} & {{e^{ - t}}(2\sin t + \cos t)} & {{e^{ - t}}(\...

Let A be a symmetric matrix such that \(\mathrm{|A|=2}\) and \(\left[ {\matrix{ 2 & 1 \cr 3 & {{3 \over 2}} \cr } } \right]A = \left[ {\matrix{ 1 & 2 \cr \alpha & \beta \cr } } \right]\). If the sum of the diagonal...

If the tangent at a point P on the parabola \(y^2=3x\) is parallel to the line \(x+2y=1\) and the tangents at the points Q and R on the ellipse \(\frac{x^2}{4}+\frac{y^2}{1}=1\) are perpendicular to the line \(x-y=2\), then the area of the ...

A triangle is formed by the tangents at the point (2, 2) on the curves \(y^2=2x\) and \(x^2+y^2=4x\), and the line \(x+y+2=0\). If \(r\) is the radius of its circumcircle, then \(r^2\) is equal to ___________.

The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is :

The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is :