JEE Main 2022 (Online) 24th June Morning Shift

Two statements are given below :
Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and above it in the series.
Statement II ...

Which of the following is an example of conjugated diketone?

Number of electrophilic centres in the given compound is _______________.

A polysaccharide 'X' on boiling with dil H2SO4 at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine water gives gluconic acid. 'X' contains \(\beta\)-glycosidic linkages only. Compound 'X' is :

For a reaction at equilibrium
A(g) \(\rightleftharpoons\) B(g) + \({1 \over 2}\) C(g)
the relation between dissociation constant (K), degree of dissociation (\(\alpha\)) and equilibrium pressure (p) is given by :

2O3(g) \(\rightleftharpoons\) 3O2(g)
At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is (\(-\)) ____________ J mol\(-\)1. (Nearest integer)
[Given : ln 1.35 = 0.3 and R = ...

The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The data has been analysed by plotting ln k vs \({{{{10}^3}} \over T}\) graph. The value of activation energy for the reaction ...

Which of the following is not a broad spectrum antibiotic?

The major product of the above reactions is :

Match List - I with List - II :

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In the cobalt-carbonyl complex : [Co2(CO)8], number of Co-Co bonds is "X" and terminal CO ligands is "Y". X + Y = ___________.

The difference in oxidation state of chromium in chromate and dichromate salts is ___________.

The cell potential for the following cell
Pt |H2(g)|H+ (aq)|| Cu2+ (0.01 M)|Cu(s)
is 0.576 V at 298 K. The pH of the solution is __________. (Nearest integer)
(Given : \(E_{C{u^{2 + }}/Cu}^o = 0.34\) V and \({{2.303\,RT} \over F} = 0.06\) V...

In the given reaction sequence, the major product 'C' is :

The major product 'A' of the following given reaction has _____________ sp2 hybridized carbon atoms.

The highest industrial consumption of molecular hydrogen is to produce compounds of element :

Match List - I with List - II :

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Identify the correct statement for B2H6 from those given below :
(A) In B2H6, all B-H bonds are equivalent.
(B) In B2H6, there are four 3-centre-2-electron bonds.
(C) B2H6 is a Lewis acid.
(D) B2H6 can be synthesized from both BF3 and NaBH...

The most stable trihalide of nitrogen is :

Which one of the following elemental forms is not present in the enamel of the teeth?

Given below are the oxides:
Na2O, As2O3, N2O, NO and Cl2O7
Number of amphoteric oxides is :

Which of the following is an example of polyester?

Which of the following statements are correct?
(A) Both LiCl and MgCl2 are soluble in ethanol.
(B) The oxides Li2O and MgO combine with excess of oxygen to give superoxide.
(C) LiF is less soluble in water than other alkali metal fluorides....

During the qualitative analysis of salt with cation y2+, addition of a reagent (X) to alkaline solution of the salt gives a bright red precipitate. The reagent (X) and the cation (y2+) present respectively are :

Atoms of element X form hcp lattice and those of element Y occupy \({2 \over 3}\) of its tetrahedral voids. The percentage of element X in the lattice is ____________. (Nearest integer)

The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in gL\(-\)1 is _____________.
(Molar mass of glucose = 180 g mol\(-\)1...

If a rocket runs on a fuel (C15H30) and liquid oxygen, the weight of oxygen required and CO2 released for every litre of fuel respectively are :
(Given : density of the fuel is 0.756 g/mL)

A 0.166 g sample of an organic compound was digested with conc. H2SO4 and then distilled with NaOH. The ammonia gas evolved was passed through 50.0 mL of 0.5 N H2SO4. The used acid required 30.0 mL of 0.25 N NaOH for complete neutralization...

Consider the following pairs of electrons
(A) (a) n = 3, \(l\) = 1, m1 = 1, ms = + \({1 \over 2}\)
      (b) n = 3, 1 = 2, m1 = 1, ms = + \({1 \over 2}\)
(B) (a) n = 3, \(l\) = 2, m1 = \(-\)2, ms = \(-\)\({1 \over 2}\)
      (b) n = 3, $$l$...

Given below are two statements :
Statement I : Emulsions of oil in water are unstable and sometimes they separate into two layers on standing.
Statement II : For stabilisation of an emulsion, excess of electrolyte is added.
In the light of ...

Let a line having direction ratios, 1, \(-\)4, 2 intersect the lines \({{x - 7} \over 3} = {{y - 1} \over { - 1}} = {{z + 2} \over 1}\) and \({x \over 2} = {{y - 7} \over 3} = {z \over 1}\) at the points A and B. Then (AB)2 is equal to ____...

If the shortest distance between the lines \(\overrightarrow r = \left( { - \widehat i + 3\widehat k} \right) + \lambda \left( {\widehat i - a\widehat j} \right)\) and $$\overrightarrow r = \left( { - \widehat j + 2\widehat k} \right) + \...

The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :

For the function \(f(x) = 4{\log _e}(x - 1) - 2{x^2} + 4x + 5,\,x > 1\), which one of the following is NOT correct?

If the tangent at the point (x1, y1) on the curve \(y = {x^3} + 3{x^2} + 5\) passes through the origin, then (x1, y1) does NOT lie on the curve :

The sum of absolute maximum and absolute minimum values of the function \(f(x) = |2{x^2} + 3x - 2| + \sin x\cos x\) in the interval [0, 1] is :

Let \(\lambda x - 2y = \mu\) be a tangent to the hyperbola \({a^2}{x^2} - {y^2} = {b^2}\). Then \({\left( {{\lambda \over a}} \right)^2} - {\left( {{\mu \over b}} \right)^2}\) is equal to :

Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1, R2. If max {R1, R2} = R2, then \({{{R_2}} \over {{R_1}}}\) is equal to ______________.

The remainder when 32022 is divided by 5 is :

Let \(A = \{ z \in C:1 \le |z - (1 + i)| \le 2\}\)
and \(B = \{ z \in A:|z - (1 - i)| = 1\}\). Then, B :

Let \(f(\theta ) = \sin \theta + \int\limits_{ - \pi /2}^{\pi /2} {(\sin \theta + t\cos \theta )f(t)dt}\). Then the value of \(\left| {\int_0^{\pi /2} {f(\theta )d\theta } } \right|\) is _____________.

Let \(\mathop {Max}\limits_{0\, \le x\, \le 2} \left\{ {{{9 - {x^2}} \over {5 - x}}} \right\} = \alpha\) and \(\mathop {Min}\limits_{0\, \le x\, \le 2} \left\{ {{{9 - {x^2}} \over {5 - x}}} \right\} = \beta\).
If $$\int\limits_{\beta - {...

If x = x(y) is the solution of the differential equation \(y{{dx} \over {dy}} = 2x + {y^3}(y + 1){e^y},\,x(1) = 0\); then x(e) is equal to :

If two tangents drawn from a point (\(\alpha\), \(\beta\)) lying on the ellipse 25x2 + 4y2 = 1 to the parabola y2 = 4x are such that the slope of one tangent is four times the other, then the value of (10\(\alpha\) + 5)2 + (16\(\beta\)2 + 5...

The number of one-one functions f : {a, b, c, d} \(\to\) {0, 1, 2, ......, 10} such
that 2f(a) \(-\) f(b) + 3f(c) + f(d) = 0 is ___________.

The set of all values of k for which \({({\tan ^{ - 1}}x)^3} + {({\cot ^{ - 1}}x)^3} = k{\pi ^3},\,x \in R\), is the interval :

The domain of the function \(f(x) = {{{{\cos }^{ - 1}}\left( {{{{x^2} - 5x + 6} \over {{x^2} - 9}}} \right)} \over {{{\log }_e}({x^2} - 3x + 2)}}\) is :

The number of points where the function
\(f(x) = \left\{ {\matrix{ {|2{x^2} - 3x - 7|} & {if} & {x \le - 1} \cr {[4{x^2} - 1]} & {if} & { - 1 < x < 1} \cr {|x + 1| + |x - 2|} & {if} & {x \ge 1} \cr } } \right.\)
[t] denote...

The number of choices for \(\Delta \in \{ \wedge , \vee , \Rightarrow , \Leftrightarrow \}\), such that \((p\Delta q) \Rightarrow ((p\Delta \sim q) \vee (( \sim p)\Delta q))\) is a tautology, is :

The number of values of \(\alpha\) for which the system of equations :
x + y + z = \(\alpha\)
\(\alpha\)x + 2\(\alpha\)y + 3z = \(-\)1
x + 3\(\alpha\)y + 5z = 4
is inconsistent, is