JEE Main 2022 (Online) 26th June Morning Shift

Consider the above reaction sequence and identify the product B.

Compound 'P' on nitration with dil. HNO3 yields two isomers (A) and (B). These isomers can be separated by steam distillation. Isomers (A) and (B) show the intramolecular and intermolecular hydrogen bonding respectively. Compound (P) on rea...

(C7H5O2)2 \(\buildrel {hv} \over \longrightarrow\) [X] \(\to\) 2C6H5 + 2CO2
Consider the above reaction and identify the intermediate 'X'

Which will have the highest enol content?

The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is ___________.

Consider the ions/molecule
O\(_2^ +\), O2, O\(_2^ -\), O\(_2^ {2-}\)
For increasing bond order the correct option is :

A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is __________...

A chemical which stimulates the secretion of pepsin is :

Among the following structures, which will show the most stable enamine formation? (Where Me is \(-\)CH3)

Which statement is not true with respect to nitrate ion test?

The spin-only magnetic moment value of an octahedral complex among CoCl3.4NH3, NiCl2.6H2O and PtCl4.2HCl, which upon reaction with excess of AgNO3 gives 2 moles of AgCl is ___________ B.M. (Nearest integer)

The spin-only magnetic moment value of the most basic oxide of vanadium among V2O3, V2O4 and V2O5 is _____________ B.M. (Nearest integer)

The \({\left( {{{\partial E} \over {\partial T}}} \right)_P}\) of different types of half cells are as follows:

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Polar stratospheric clouds facilitate the formation of :

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL\(-\)1 and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mol\(-\)1 is :
(Given : R = 0.082...

2.0 g of H2 gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is __________ mL.
(Given : R = 0.083 L bar K\(-\)1 mol\(-\)1)

Consider the following reaction:
\(2HSO_4^ - (aq)\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{(2)\,Hydrolysis}^{(1)\,Electrolysis}} 2HSO_4^ - + 2{H^ + } + A\)
The dihedral angle in product A in its solid phase at 110 K is :

50 mL of 0.1 M CH3COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been added, the pH of the solution will be _____________ \(\times\) 10\(-\)2. (Nearest integer)
(Given : pKa (CH3COOH) = 4.76)
log 2 = 0.30
log 3 = 0.48
log...

Given below are two statements :
Statement I : According to Ellingham diagram, any metal oxide with higher \(\Delta\)G\(^\circ\) is more stable than the one with lower \(\Delta\)G\(^\circ\).
Statement II : The metal involved in the formatio...

Choose the correct stability order of group 13 elements in their + 1 oxidation state :

The correct order of melting points of hydrides of group 16 elements is :

Consider the following reaction :
A + alkali \(\to\) B (Major Product)
If B is an oxoacid of phosphorus with no P-H bond, then A is :

Which of the following sets are correct regarding polymer?
(A) Copolymer : Buna-S
(B) Condensation polymer : Nylon-6,6
(C) Fibres : Nylon-6,6
(D) Thermosetting polymer : Terylene
(E) Homopolymer : Buna-N
Choose the correct answer from given...

Given below are two statements :
Statement I : In 'Lassaigne's Test', when both nitrogen and sulphur are present in an organic compound, sodium thiocyanate is formed.
Statement II : If both nitrogen and sulphur are present in an organic com...

The correct order of melting point is :

A 0.5 percent solution of potassium chloride was found to freeze at \(-\)0.24\(^\circ\)C. The percentage dissociation of potassium chloride is ______________. (Nearest integer)
(Molal depression constant for water is 1.80 K kg mol\(-\)1 and...

A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of this solution is:
(Atomic mass : Cl = 35.5 amu, H = 1 amu)

On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and 0.10 g of water. The percentage of carbon in the given organic compound is _____________. (Nearest integer)

If the radius of the 3rd Bohr's orbit of hydrogen atom is r3 and the radius of 4th Bohr's orbit is r4. Then :

For complete combustion of methanol
CH3OH(I) + \({3 \over 2}\)O2(g) \(\to\) CO2(g) + 2H2O(I)
the amount of heat produced as measured by bomb calorimeter is 726 kJ mol\(-\)1 at 27\(^\circ\)C. The enthalpy of combustion for the reaction is $$...

If the two lines \({l_1}:{{x - 2} \over 3} = {{y + 1} \over {-2}},\,z = 2\) and \({l_2}:{{x - 1} \over 1} = {{2y + 3} \over \alpha } = {{z + 5} \over 2}\) are perpendicular, then an angle between the lines l2 and $${l_3}:{{1 - x} \over 3} =...

Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of intersection with the plane x \(-\) 3y + 5z = 8. If the mirror image of the point \(\left( {2, - {1 \over 2},2} \right)\) in the rotated plane is B(a, b, ...

The sum of the absolute minimum and the absolute maximum values of the function f(x) = |3x \(-\) x2 + 2| \(-\) x in the interval [\(-\)1, 2] is :

Let S be the set of all the natural numbers, for which the line \({x \over a} + {y \over b} = 2\) is a tangent to the curve \({\left( {{x \over a}} \right)^n} + {\left( {{y \over b}} \right)^n} = 2\) at the point (a, b), ab \(\ne\) 0. Then ...

Let \(f(x) = 2{\cos ^{ - 1}}x + 4{\cot ^{ - 1}}x - 3{x^2} - 2x + 10\), \(x \in [ - 1,1]\). If [a, b] is the range of the function f, then 4a \(-\) b is equal to :

The area bounded by the curve y = |x2 \(-\) 9| and the line y = 3 is :

The remainder when (2021)2023 is divided by 7 is :

Let C be a circle passing through the points A(2, \(-\)1) and B(3, 4). The line segment AB s not a diameter of C. If r is the radius of C and its centre lies on the circle \({(x - 5)^2} + {(y - 1)^2} = {{13} \over 2}\), then r2 is equal to ...

Let \(A = \left\{ {z \in C:\left| {{{z + 1} \over {z - 1}}} \right| < 1} \right\}\) and \(B = \left\{ {z \in C:\arg \left( {{{z - 1} \over {z + 1}}} \right) = {{2\pi } \over 3}} \right\}\). Then A \(\cap\) B is :

Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then \(\int\limits_{ - 6}^0 {f(x)dx}\) is equal to __________.

The value of the integral \({{48} \over {{\pi ^4}}}\int\limits_0^\pi {\left( {{{3\pi {x^2}} \over 2} - {x^3}} \right){{\sin x} \over {1 + {{\cos }^2}x}}dx}\) is equal to __________.

Let the solution curve y = y(x) of the differential equation \((4 + {x^2})dy - 2x({x^2} + 3y + 4)dx = 0\) pass through the origin. Then y(2) is equal to _____________.

Let \(S = (0,2\pi ) - \left\{ {{\pi \over 2},{{3\pi } \over 4},{{3\pi } \over 2},{{7\pi } \over 4}} \right\}\). Let \(y = y(x)\), x \(\in\) S, be the solution curve of the differential equation $${{dy} \over {dx}} = {1 \over {1 + \sin 2x}}...

Let \(f(x) = {{x - 1} \over {x + 1}},\,x \in R - \{ 0, - 1,1\}\). If \({f^{n + 1}}(x) = f({f^n}(x))\) for all n \(\in\) N, then \({f^6}(6) + {f^7}(7)\) is equal to :

\(\mathop {\lim }\limits_{x \to {1 \over {\sqrt 2 }}} {{\sin ({{\cos }^{ - 1}}x) - x} \over {1 - \tan ({{\cos }^{ - 1}}x)}}\) is equal to :

Let f, g : R \(\to\) R be two real valued functions defined as \(f(x) = \left\{ {\matrix{ { - |x + 3|} & , & {x < 0} \cr {{e^x}} & , & {x \ge 0} \cr } } \right.\) and $$g(x) = \left\{ {\matrix{
{{x^2} + {k_1}x} & , & {x < 0} ...

Let \(\Delta\), \(\nabla\) \(\in\) {\(\wedge\), \(\vee\)} be such that p \(\nabla\) q \(\Rightarrow\) ((p \(\Delta\) q) \(\nabla\) r) is a tautology. Then (p \(\nabla\) q) \(\Delta\) r is logically equivalent to :

Let A be a 3 \(\times\) 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|2 is equal to :

The ordered pair (a, b), for which the system of linear equations
3x \(-\) 2y + z = b
5x \(-\) 8y + 9z = 3
2x + y + az = \(-\)1
has no solution, is :

Let the normal at the point on the parabola y2 = 6x pass through the point (5, \(-\)8). If the tangent at P to the parabola intersects its directrix at the point Q, then the ordinate of the point Q is :