JEE Main 2022 (Online) 28th June Evening Shift

The major product (P) of the given reaction is
(where, Me is \(-\)CH3)

Isobutyraldehyde on reaction with formaldehyde and K2CO3 gives compound 'A'. Compound 'A' reacts with KCN and yields compound 'B', which on hydrolysis gives a stable compound 'C'. The compound 'C' is

The correct IUPAC name of the following compound is :

When sugar 'X' is boiled with dilute H2SO4 in alcoholic solution, two isomers 'A' and 'B' are formed. 'A' on oxidation with HNO3 yields saccharic acid where as 'B' is laevorotatory. The compound 'X' is :

In the structure of SF4, the lone pair of electrons on S is in.

A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ___________. (Nearest integer)
(Given : antilog 0.125 = 1.333, antilog 0.693 = 4.93)

The drug tegamet is :

With respect to the following reaction, consider the given statements :

(A) o-Nitroaniline and p-nitroaniline are the predominant products.
(B) p-Nitroaniline and m-nitroaniline are the predominant products.
(C) HNO3 acts as an acid.
(D) ...

\({[Fe{(CN)_6}]^{4 - }}\)
\({[Fe{(CN)_6}]^{3 - }}\)
\({[Ti{(CN)_6}]^{3 - }}\)
\({[Ni{(CN)_4}]^{2 - }}\)
\({[Co{(CN)_6}]^{3 - }}\)
Among the given complexes, number of paramagnetic complexes is ____________.

(a) CoCl3.4NH3,    (b) CoCl3.5NH3,      (c) CoCl3.6NH3    and    (d) CoCl(NO3)2.5NH3.
Number of complex(es) which will exist in cis-trans form is/are _______________.

For the given reactions
Sn2+ + 2e\(-\) \(\to\) Sn
Sn4+ + 4e\(-\) \(\to\) Sn
the electrode potentials are ; \(E_{S{n^{2 + }}/Sn}^o = - 0.140\) V and \(E_{S{n^{4 + }}/Sn}^o = + 0.010\) V. The magnitude of standard electrode potential for $$...

Correct statement about photo-chemical smog is :

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27\(^\circ\)C under 1.5 bar pressure. The molar mass of the gas is __________ g mol\(-\)1. (Nearest integer)
(Given : R = 0.083 L bar K\(-\)1 mol\(-\)1)

In the above reaction 'A' is

The major product of the following reaction contains ____________ bromine atom(s).

Hydrogen has three isotopes : protium (1H), deuterium (2H or D) and tritium (3H or T). They have nearly same chemical properties but different physical properties. They differ in :

A student needs to prepare a buffer solution of propanoic acid and its sodium salt with pH 4. The ratio of \({{[C{H_3}C{H_2}CO{O^ - }]} \over {[C{H_3}C{H_2}COOH]}}\) required to make buffer is ___________.
Given : $${K_a}(C{H_3}C{H_2}COOH) ...

In the metallurgical extraction of copper, following reaction is used :
FeO + SiO2 \(\to\) FeSiO3
FeO and FeSiO3 respectively are.

Among the given oxides of nitrogen ; N2O, N2O3, N2O4 and N2O5, the number of compound/(s) having N - N bond is :

Which of the following oxoacids of sulphur contains "S" in two different oxidation states?

Match List - I with List - II :

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Among the following, basic oxide is :

Given below are two statements, one is Assertion (A) and other is Reason (R).
Assertion (A) : Natural rubber is a linear polymer of isoprene called cis-polyisoprene with elastic properties.
Reason (R) : The cis-polyisoprene molecules consis...

0.01 M KMnO4 solution was added to 20.0 mL of 0.05 M Mohr's salt solution through a burette. The initial reading of 50 mL burette is zero. The volume of KMnO4 solution left in the burette after the end point is _____________ mL. (nearest in...

2.5 g of protein containing only glycine (C2H5NO2) is dissolved in water to make 500 mL of solution. The osmotic pressure of this solution at 300 K is found to be 5.03 \(\times\) 10\(-\)3 bar. The total number of glycine units present in th...

Compound A contains 8.7% Hydrogen, 74% Carbon and 17.3% Nitrogen. The molecular formula of the compound is,
Given : Atomic masses of C, H and N are 12, 1 and 14 amu respectively.
The molar mass of the compound A is 162 g mol\(-\)1.

The complete combustion of 0.492 g of an organic compound containing 'C', 'H' and 'O' gives 0.793 g of CO2 and 0.442 g of H2O. The percentage of oxygen composition in the organic compound is ______________. (nearest integer)

Consider the following statements :
(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2, 3, ...
(B) The azimuthal quantum number 'l' for a given 'n' (principal quantum number) can have values as 'l' = 0, 1, ...

Match List - I with List - II :

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For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, \(\Delta\)CH\(\Theta\) = \(-\)601.70 kJ mol\(-\)1, the magnitude of change in internal energy for the reaction is __________ kJ. (Nearest integer)
(G...

Let the plane ax + by + cz = d pass through (2, 3, \(-\)5) and is perpendicular to the planes 2x + y \(-\) 5z = 10 and 3x + 5y \(-\) 7z = 12. If a, b, c, d are integers d > 0 and gcd (|a|, |b|, |c|, d) = 1, then the value of a + 7b + c + 20...

Let the image of the point P(1, 2, 3) in the line \(L:{{x - 6} \over 3} = {{y - 1} \over 2} = {{z - 2} \over 3}\) be Q. Let R (\(\alpha\), \(\beta\), \(\gamma\)) be a point that divides internally the line segment PQ in the ratio 1 : 3. The...

The area of the bounded region enclosed by the curve \(y = 3 - \left| {x - {1 \over 2}} \right| - |x + 1|\) and the x-axis is :

The term independent of x in the expansion of \((1 - {x^2} + 3{x^3}){\left( {{5 \over 2}{x^3} - {1 \over {5{x^2}}}} \right)^{11}},\,x \ne 0\) is :

If one of the diameters of the circle \({x^2} + {y^2} - 2\sqrt 2 x - 6\sqrt 2 y + 14 = 0\) is a chord of the circle \({(x - 2\sqrt 2 )^2} + {(y - 2\sqrt 2 )^2} = {r^2}\), then the value of r2 is equal to ____________.

Sum of squares of modulus of all the complex numbers z satisfying \(\overline z = i{z^2} + {z^2} - z\) is equal to ___________.

Let f : R \(\to\) R be a differentiable function such that \(f\left( {{\pi \over 4}} \right) = \sqrt 2 ,\,f\left( {{\pi \over 2}} \right) = 0\) and \(f'\left( {{\pi \over 2}} \right) = 1\) and let $$g(x) = \int_x^{\pi /4} {(f'(t)\sec t +...

Let f : R \(\to\) R be a continuous function satisfying f(x) + f(x + k) = n, for all x \(\in\) R where k > 0 and n is a positive integer. If \({I_1} = \int\limits_0^{4nk} {f(x)dx}\) and \({I_2} = \int\limits_{ - k}^{3k} {f(x)dx}\), then ...

Let x = x(y) be the solution of the differential equation \(2y\,{e^{x/{y^2}}}dx + \left( {{y^2} - 4x{e^{x/{y^2}}}} \right)dy = 0\) such that x(1) = 0. Then, x(e) is equal to :

Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 \(\tan x(\cos x - y)\). If the curve passes through the point \(\left( {{\pi \over 4},0} \right)\), then the value of \(\int\limits_0^{\pi /2} {y\,dx}\) is equal to ...

Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S \(\times\) S \(\to\) S : f is onto and f (a, b) = f (b, a) \(\ge\) a \(\forall\) (a, b) \(\in\) S \(\times\) S } is ______________.

Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola \({{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1\). Let e' and l' respectively be the eccentricity and length of the latus...

Let f, g : R \(\to\) R be functions defined by
\(f(x) = \left\{ {\matrix{ {[x]} & , & {x < 0} \cr {|1 - x|} & , & {x \ge 0} \cr } } \right.\) and $$g(x) = \left\{ {\matrix{
{{e^x} - x} & , & {x < 0} \cr
{{{(x - 1)}^2} - ...

The value of \(\mathop {\lim }\limits_{n \to \infty } 6\tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \over {{r^2} + 3r + 3}}} \right)} } \right\}\) is equal to :

If \(\mathop {\lim }\limits_{x \to 1} {{\sin (3{x^2} - 4x + 1) - {x^2} + 1} \over {2{x^3} - 7{x^2} + ax + b}} = - 2\), then the value of (a \(-\) b) is equal to ___________.

The maximum number of compound propositions, out of p\(\vee\)r\(\vee\)s, p\(\vee\)r\(\vee\)\(\sim\)s, p\(\vee\)\(\sim\)q\(\vee\)s, \(\sim\)p\(\vee\)\(\sim\)r\(\vee\)s, \(\sim\)p\(\vee\)\(\sim\)r\(\vee\)\(\sim\)s, \(\sim\)p\(\vee\)q\(\vee\)$...

If the system of linear equations \(2x - 3y = \gamma + 5\), \(\alpha x + 5y = \beta + 1\), where \(\alpha\), \(\beta\), \(\gamma\) \(\in\) R has infinitely many solutions then the value of | 9\(\alpha\) + 3\(\beta\) + 5\(\gamma\) | is equ...

Let \(A = \left( {\matrix{ {1 + i} & 1 \cr { - i} & 0 \cr } } \right)\) where \(i = \sqrt { - 1}\). Then, the number of elements in the set { n \(\in\) {1, 2, ......, 100} : An = A } is ____________.

If vertex of a parabola is (2, \(-\)1) and the equation of its directrix is 4x \(-\) 3y = 21, then the length of its latus rectum is :

The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least 4 and at most 7 candies, C3 receives at least 2 and at most 6 candies, is equal to :