JEE Main 2022 (Online) 29th June Morning Shift

Given below are two statements :
Statement I : Phenols are weakly acidic.
Statement II : Therefore they are freely soluble in NaOH solution and are weaker acids than alcohols and water.
Choose the most appropriate option :

Given below are two statements :
Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic acyl substitution.
Statement II : Electron withdrawing groups in the carboxylic acid will increase the rate of esterifica...

Observe structures of the following compounds

The total number of structures/compounds which possess asymmetric carbon atoms is ______________.

Sugar moiety in DNA and RNA molecules respectively are

C6H12O6 \(\buildrel \text{Zymase} \over \longrightarrow\) A \(\mathrel{\mathop{\kern0pt\longrightarrow} \limits_\Delta ^\text{NaOI}}\) B + CHI3
The number of carbon atoms present in the product B is _______________.

The activation energy of one of the reactions in a biochemical process is 532611 J mol\(-\)1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k300 = x \(\times\) 10\(-\)3 k310. The value of x is _____...

Which of the following compound does not contain sulphur atom?

Consider the above reactions, the product A and product B respectively are

The electronic configuration of Pt (atomic number 78) is :

The number of terminal oxygen atoms present in the product B obtained from the following reaction is _____________.
FeCr2O4 + Na2CO3 + O2 \(\to\) A + Fe2O3 + CO2
A + H+ \(\to\) B + H2O + Na+

An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the product having manganese in higher oxidation state is _____________ B.M. (Nearest integer)

A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen gas. The total volume of gases produced a STP is _____________ cm3. (Nearest integer)
[Given : Faraday constant F = 965...

The acid that is believed to be mainly responsible for the damage of Taj Mahal is :

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL\(-\)1 at 257\(^\circ\)C and 100 mm Hg. The molar mass of geraniol is ____________ g mol\(-\)1. (Nearest Integer)
[Given : R = 0.082 L at...

In the given conversion the compound A is :

Two isomers 'A' and 'B' with molecular formula C4H8 give different products on oxidation with KMnO4 in acidic medium. Isomer 'A' on reaction with KMnO4/H+ results in effervescence of a gas and gives ketone. The compound 'A' is

Which one of the following reactions indicates the reducing ability of hydrogen peroxide in basic medium?

The solubility of AgCl will be maximum in which of the following?

In isolation of which one of the following metals from their ores, the use of cyanide salt is not commonly involved?

Match List-I with List-II.

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}...

The oxoacid of phosphorus that is easily obtained from a reaction of alkali and white phosphorus and has two P-H bonds, is :

The polymer, which can be stretched and remains its original status on releasing the force is

Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the compound neutralised 12.5 mL of 1 M H2SO4 solution. The percentage of nitrogen in the compound is _____________. (Neare...

Arrange the following in the decreasing order of their covalent character :
(A) LiCl
(B) NaCl
(C) KCl
(D) CsCl
Choose the most appropriate answer from the options given below :

Match List-I with List-II

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
...

1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is 0.0198\(^\circ\)C. The percentage of dissociation of the acid is ___________. (Nearest integer)
[G...

Production of iron in blast furnace follows the following equation
Fe3O4(s) + 4CO(g) \(\to\) 3Fe(l) + 4CO2(g)
when 4.640 kg of Fe3O4 and 2.520 kg of CO are allowed to react then the amount of iron (in g) produced is :
[Given : Molar Atomic ...

Which of the following statements are correct?
(A) The electronic configuration of Cr is [Ar] 3d5 4s1.
(B) The magnetic quantum number may have a negative value.
(C) In the ground state of an atom, the orbitals are filled in order of their ...

Which of the following is a correct statement?

17.0 g of NH3 completely vapourises at \(-\)33.42\(^\circ\)C and 1 bar pressure and the enthalpy change in the process is 23.4 kJ mol\(-\)1. The enthalpy change for the vapourisation of 85 g of NH3 under the same conditions is _________ kJ.

If the mirror image of the point (2, 4, 7) in the plane 3x \(-\) y + 4z = 2 is (a, b, c), then 2a + b + 2c is equal to :

Let d be the distance between the foot of perpendiculars of the points P(1, 2, \(-\)1) and Q(2, \(-\)1, 3) on the plane \(-\)x + y + z = 1. Then d2 is equal to ___________.

Let \({P_1}:\overrightarrow r \,.\,\left( {2\widehat i + \widehat j - 3\widehat k} \right) = 4\) be a plane. Let P2 be another plane which passes through the points (2, \(-\)3, 2), (2, \(-\)2, \(-\)3) and (1, \(-\)4, 2). If the direction ra...

A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square ...

The area enclosed by y2 = 8x and y = \(\sqrt2\) x that lies outside the triangle formed by y = \(\sqrt2\) x, x = 1, y = 2\(\sqrt2\), is equal to:

If the constant term in the expansion of
\({\left( {3{x^3} - 2{x^2} + {5 \over {{x^5}}}} \right)^{10}}\) is 2k.l, where l is an odd integer, then the value of k is equal to:

Let the tangent to the circle C1 : x2 + y2 = 2 at the point M(\(-\)1, 1) intersect the circle C2 : (x \(-\) 3)2 + (y \(-\) 2)2 = 5, at two distinct points A and B. If the tangents to C2 at the points A and B intersect at N, then the area of...

Let \(\alpha\) and \(\beta\) be the roots of the equation x2 + (2i \(-\) 1) = 0. Then, the value of |\(\alpha\)8 + \(\beta\)8| is equal to :

Let \(S = \{ z \in C:|z - 2| \le 1,\,z(1 + i) + \overline z (1 - i) \le 2\}\). Let \(|z - 4i|\) attains minimum and maximum values, respectively, at z1 \(\in\) S and z2 \(\in\) S. If $$5(|{z_1}{|^2} + |{z_2}{|^2}) = \alpha + \beta \sqrt 5...

Let \(f:R \to R\) be a function defined by :
$$f(x) = \left\{ {\matrix{
{\max \,\{ {t^3} - 3t\} \,t \le x} & ; & {x \le 2} \cr
{{x^2} + 2x - 6} & ; & {2 < x < 3} \cr
{[x - 3] + 9} & ; & {3 \le x \le 5} \cr
{2x + 1} & ; & {...

\(\int_0^5 {\cos \left( {\pi \left( {x - \left[ {{x \over 2}} \right]} \right)} \right)dx}\),
where [t] denotes greatest integer less than or equal to t, is equal to:

Let the solution curve of the differential equation
\(x{{dy} \over {dx}} - y = \sqrt {{y^2} + 16{x^2}}\), \(y(1) = 3\) be \(y = y(x)\). Then y(2) is equal to:

Let y = y(x) be the solution of the differential equation \({{dy} \over {dx}} + {{\sqrt 2 y} \over {2{{\cos }^4}x - {{\cos }^2}x}} = x{e^{{{\tan }^{ - 1}}(\sqrt 2 \cot 2x)}},\,0 < x < {\pi \over 2}\) with $$y\left( {{\pi \over 4}} \right)...

Let c, k \(\in\) R. If \(f(x) = (c + 1){x^2} + (1 - {c^2})x + 2k\) and \(f(x + y) = f(x) + f(y) - xy\), for all x, y \(\in\) R, then the value of \(|2(f(1) + f(2) + f(3) + \,\,......\,\, + \,\,f(20))|\) is equal to ____________.

Let \(H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1\), a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is \(4(2\sqrt 2 + \sqrt {14} )\). If the eccentricity H is $${{\sqrt {11} }...

The domain of the function \({\cos ^{ - 1}}\left( {{{2{{\sin }^{ - 1}}\left( {{1 \over {4{x^2} - 1}}} \right)} \over \pi }} \right)\) is :

\(50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)} \right) + 4\sqrt 2 \tan \left( {{1 \over 2}{{\tan }^{ - 1}}(2\sqrt 2 )} \right)\) is equal to ____________.

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

If the system of linear equations
2x + y \(-\) z = 7
x \(-\) 3y + 2z = 1
x + 4y + \(\delta\)z = k, where \(\delta\), k \(\in\) R has infinitely many solutions, then \(\delta\) + k is equal to:

Let \(A = [{a_{ij}}]\) be a square matrix of order 3 such that \({a_{ij}} = {2^{j - i}}\), for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ...... + A10 is equal to :