JEE Main 2022 (Online) 27th June Evening Shift

Match List-I with List-II.

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Which of the following is most stable?

Given below are two statements.
Statement I : Maltose has two \(\alpha\)-D-glucose units linked at C1 and C4 and is a reducing sugar.
Statement II : Maltose has two monosaccharides : \(\alpha\)-D-glucose and \(\beta\)-D-glucose linked at C1...

Identify the incorrect statement for PCl5 from the following.

The correct order of increasing intermolecular hydrogen bond strength is :

It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K, the value of activation energy is found to be ____________ kJ mol\(-\)1. [nearest i...

Match List-I with List-II

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...

Decarboxylation of all six possible forms of diaminobenzoic acids C6H3(NH2)2COOH yields three products A, B and C. Three acids give a product 'A', two acids gives a product 'B' and one acid give a product 'C'. The melting point of product '...

Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers : Mn = 25; Fe = 26)
A. [FeF6]3\(-\)
B. [Fe(CN)6]3\(-\)
C. [MnCl6]3\(-\) (high spin)
D. [Mn(CN)6]3\(-\)
Choose the correct answer from ...

The 'f' orbitals are half and completely filled, respectively in lanthanide ions :
[Given : Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]

In 3d series, the metal having the highest M2+/M standard electrode potential is :

For the reaction taking place in the cell :
Pt (s)| H2 (g)|H+(aq) || Ag+(aq) |Ag (s)
E\(_{cell}^o\) = + 0.5332 V.
The value of \(\Delta\)fG\(^\circ\) is ______________ kJ mol\(-\)1. (in nearest integer)

On the surface of polar stratospheric clouds, hydrolysis of chlorine nitrite gives A and B while its reaction with its reaction with HCl produces B and C. A, B and C are, respectively :

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas?

What will be the major product of following sequence of reactions?

Product 'A' of following sequence of reactions is

pH value of 0.001 M NaOH solution is ____________.

Statement I : Leaching of gold with cyanide ion in absence of air / O2 leads to cyano complex of Au(III).
Statement II : Zinc is oxidized during the displacement reaction carried out for gold extraction.
In the light of the above statements...

The gas produced by treating an aqueous solution of ammonium chloride with sodium nitrite is :

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Fluorine forms one oxoacid.
Reason R : Fluorine has smallest size amongst all halogens and is highly electronegative.
In th...

The correct order of increasing ionic radii is

Which is true about Buna-N?

0.25 g of an organic compound containing chlorine gave 0.40 g of silver chloride in Carius estimation. The percentage of chlorine present in the compound is ___________. [in nearest integer]
(Given : Molar mass of Ag is 108 g mol\(-\)1 and ...

BeO reacts with HF in presence of ammonia to give [A] which on thermal decomposition produces [B] and ammonium fluoride. Oxidation state of Be in [A] is ____________.

Match List I with List II.

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A solution containing 2.5 \(\times\) 10\(-\)3 kg of a solute dissolved in 75 \(\times\) 10\(-\)3 kg of water boils at 373.535 K. The molar mass of the solute is ____________ g mol\(-\)1. [nearest integer] (Given : Kb(H2O) = 0.52 K kg mol$$-...

116 g of a substance upon dissociation reaction, yields 7.5 g of hydrogen, 60 g of oxygen and 48.5 g of carbon. Given that the atomic masses of H, O and C are 1, 16 and 12, respectively. The data agrees with how many formulae of the followi...

Consider the following set of quantum numbers.

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If the initial pressure of a gas is 0.03 atm, the mass of the gas adsorbed per gram of the adsorbent is ___________ \(\times\) 10\(-\)2 g.

When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maximum work obtained is __________ J. [nearest integer] (Given : R = 8.3 J K\(-\)1 mol\(-\)1 and log 2 = 0.3010)

Let the foot of the perpendicular from the point (1, 2, 4) on the line \({{x + 2} \over 4} = {{y - 1} \over 2} = {{z + 1} \over 3}\) be P. Then the distance of P from the plane \(3x + 4y + 12z + 23 = 0\) is :

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

If the area of the region \(\left\{ {(x,y):{x^{{2 \over 3}}} + {y^{{2 \over 3}}} \le 1,\,x + y \ge 0,\,y \ge 0} \right\}\) is A, then \({{256A} \over \pi }\) is equal to __________.

If the sum of the coefficients of all the positive powers of x, in the Binomial expansion of \({\left( {{x^n} + {2 \over {{x^5}}}} \right)^7}\) is 939, then the sum of all the possible integral values of n is _________.

The set of values of k, for which the circle \(C:4{x^2} + 4{y^2} - 12x + 8y + k = 0\) lies inside the fourth quadrant and the point \(\left( {1, - {1 \over 3}} \right)\) lies on or inside the circle C, is :

Let a circle C of radius 5 lie below the x-axis. The line L1 : 4x + 3y + 2 = 0 passes through the centre P of the circle C and intersects the line L2 = 3x \(-\) 4y \(-\) 11 = 0 at Q. The line L2 touches C at the point Q. Then the distance o...

The number of points of intersection of \(|z - (4 + 3i)| = 2\) and \(|z| + |z - 4| = 6\), z \(\in\) C, is :

If m and n respectively are the number of local maximum and local minimum points of the function \(f(x) = \int\limits_0^{{x^2}} {{{{t^2} - 5t + 4} \over {2 + {e^t}}}dt}\), then the ordered pair (m, n) is equal to

Let f be a differentiable function in \(\left( {0,{\pi \over 2}} \right)\). If \(\int\limits_{\cos x}^1 {{t^2}\,f(t)dt = {{\sin }^3}x + \cos x}\), then \({1 \over {\sqrt 3 }}f'\left( {{1 \over {\sqrt 3 }}} \right)\) is equal to

The integral \(\int\limits_0^1 {{1 \over {{7^{\left[ {{1 \over x}} \right]}}}}dx}\), where [ . ] denotes the greatest integer function, is equal to

If the solution curve of the differential equation \((({\tan ^{ - 1}}y) - x)dy = (1 + {y^2})dx\) passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is

Let \(y = y(x)\) be the solution of the differential equation \((1 - {x^2})dy = \left( {xy + ({x^3} + 2)\sqrt {1 - {x^2}} } \right)dx, - 1 < x < 1\), and \(y(0) = 0\). If $$\int_{{{ - 1} \over 2}}^{{1 \over 2}} {\sqrt {1 - {x^2}} y(x)dx = k...

If \(y(x) = {\left( {{x^x}} \right)^x},\,x > 0\), then \({{{d^2}x} \over {d{y^2}}} + 20\) at x = 1 is equal to ____________.

Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define f : S \(\to\) S as
\(f(n) = \left\{ {\matrix{ {2n} & , & {if\,n = 1,2,3,4,5} \cr {2n - 11} & , & {if\,n = 6,7,8,9,10} \cr } } \right.\).
Let g : S \(\to\) S be a function such that...

The value of \(\cot \left( {\sum\limits_{n = 1}^{50} {{{\tan }^{ - 1}}\left( {{1 \over {1 + n + {n^2}}}} \right)} } \right)\) is :

Let [t] denote the greatest integer \(\le\) t and {t} denote the fractional part of t. The integral value of \(\alpha\) for which the left hand limit of the function
$$f(x) = [1 + x] + {{{\alpha ^{2[x] + {\{x\}}}} + [x] - 1} \over {2[x] + \...

Which of the following statement is a tautology?

Let \(f(x) = \left| {\matrix{ a & { - 1} & 0 \cr {ax} & a & { - 1} \cr {a{x^2}} & {ax} & a \cr } } \right|,\,a \in R\). Then the sum of the squares of all the values of a, for which \(2f'(10) - f'(5) + 100 = 0\), is

Let A and B be two 3 \(\times\) 3 matrices such that \(AB = I\) and \(|A| = {1 \over 8}\). Then \(|adj\,(B\,adj(2A))|\) is equal to

If the equation of the parabola, whose vertex is at (5, 4) and the directrix is \(3x + y - 29 = 0\), is \({x^2} + a{y^2} + bxy + cx + dy + k = 0\), then \(a + b + c + d + k\) is equal to :