JEE Main 2022 (Online) 26th June Evening Shift

Oxidation of toluene to benzaldehyde can be easily carried out with which of the following reagents?

The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is

The final product 'A' in the following reaction sequence

The correct order of nucleophilicity is

Match List-I with List-II

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Which one of the following is a water soluble vitamin, that is not excreted easily?

Amongst SF4, XeF4, CF4 and H2O, the number of species with two lone pairs of electrons is _____________.

40% of HI undergoes decomposition to H2 and I2 at 300 K. \(\Delta\)G\(^\Theta\) for this decomposition reaction at one atmosphere pressure is __________ J mol\(-\)1. [nearest integer]
(Use R = 8.31 J K\(-\)1 mol\(-\)1 ; log 2 = 0.3010, ln ...

Catalyst A reduces the activation energy for a reaction by 10 kJ mol\(-\)1 at 300 K. The ratio of rate constants, \({{{}^kT,\,Catalysed} \over {{}^kT,\,Uncatalysed}}\) is ex. The value of x is ___________. [nearest integer]
[Assume that the...

Which of the following is NOT an example of synthetic detergent?

Which statement is NOT correct for p-toluenesulphonyl chloride?

The final product 'C' in the following series of reactions

Reaction of [Co(H2O)6]2+ with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of electrons present in t2g-orbitals of the product is ___________.

The most common oxidation state of Lanthanoid elements is +3. Which of the following is likely to deviate easily from +3 oxidation state?

Cu(s) + Sn2+ (0.001M) \(\to\) Cu2+ (0.01M) + Sn(s)
The Gibbs free energy change for the above reaction at 298 K is x \(\times\) 10\(-\)1 kJ mol\(-\)1. The value of x is __________. [nearest integer]
[Given : $$E_{C{u^{2 + }}/Cu}^\Theta = 0...

The measured BOD values for four different water samples (A-D) are as follows: A = 3 ppm; B = 18 ppm; C = 21 ppm; D = 4 ppm. The water samples which can be called as highly polluted with organic wastes, are :

Halogenation of which one of the following will yield m-substituted product with respect to methyl group as a major product?

The major product in the following reaction

Boiling of hard water is helpful in removing the temporary hardness by converting calcium hydrogen carbonate and magnesium hydrogen carbonate to :

The role of depressants in 'Froth Flotation method' is to

Which of the following elements is considered as a metalloid?

The oxide which contains an odd electron at the nitrogen atom is :

Which one of the following is an example of disproportionation reaction ?

s-block element which cannot be qualitatively confirmed by the flame test is :

In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is AxBy. The value of x is ____________. [nearest ...

The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol\(-\)1 in 200 mL of water at 27\(^\circ\)C is ______________ Pa. [integer value]
(use R = 0.083 L bar mol\(-\)1 K\(-\)1)

CNG is an important transportation fuel. When 100 g CNG is mixed with 208 g oxygen in vehicles, it leads to the formation of CO2 and H2O and produces large quantity of heat during this combustion, then the amount of carbon dioxide, produced...

The moles of methane required to produce 81 g of water after complete combustion is _____________ \(\times\) 10\(-\)2 mol. [nearest integer]

The number of radial and angular nodes in 4d orbital are, respectively

A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100\(^\circ\)C, then the internal energy for vaporization in kJ mol\(-\)1 is ___________. [n...

If the plane \(2x + y - 5z = 0\) is rotated about its line of intersection with the plane \(3x - y + 4z - 7 = 0\) by an angle of \({\pi \over 2}\), then the plane after the rotation passes through the point :

If the lines \(\overrightarrow r = \left( {\widehat i - \widehat j + \widehat k} \right) + \lambda \left( {3\widehat j - \widehat k} \right)\) and $$\overrightarrow r = \left( {\alpha \widehat i - \widehat j} \right) + \mu \left( {2\wideh...

Let \(\overrightarrow a = \widehat i + \widehat j + 2\widehat k\), \(\overrightarrow b = 2\widehat i - 3\widehat j + \widehat k\) and \(\overrightarrow c = \widehat i - \widehat j + \widehat k\) be three given vectors. Let $$\overrightar...

Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :

The area of the region bounded by y2 = 8x and y2 = 16(3 \(-\) x) is equal to:

If \(\left( {{}^{40}{C_0}} \right) + \left( {{}^{41}{C_1}} \right) + \left( {{}^{42}{C_2}} \right) + \,\,.....\,\, + \,\,\left( {{}^{60}{C_{20}}} \right) = {m \over n}{}^{60}{C_{20}}\) m and n are coprime, then m + n is equal to ___________...

If \({z^2} + z + 1 = 0\), \(z \in C\), then \(\left| {\sum\limits_{n = 1}^{15} {{{\left( {{z^n} + {{( - 1)}^n}{1 \over {{z^n}}}} \right)}^2}} } \right|\) is equal to _________.

The integral \({{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}}\) is equal to ____________.

If \(y = y(x)\) is the solution of the differential equation \(x{{dy} \over {dx}} + 2y = x\,{e^x}\), \(y(1) = 0\) then the local maximum value of the function \(z(x) = {x^2}y(x) - {e^x},\,x \in R\) is :

If the solution of the differential equation \({{dy} \over {dx}} + {e^x}\left( {{x^2} - 2} \right)y = \left( {{x^2} - 2x} \right)\left( {{x^2} - 2} \right){e^{2x}}\) satisfies \(y(0) = 0\), then the value of y(2) is _______________.

Let f : R \(\to\) R satisfy \(f(x + y) = {2^x}f(y) + {4^y}f(x)\), \(\forall\)x, y \(\in\) R. If f(2) = 3, then \(14.\,{{f'(4)} \over {f'(2)}}\) is equal to ____________.

If m is the slope of a common tangent to the curves \({{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1\) and \({x^2} + {y^2} = 12\), then \(12{m^2}\) is equal to :

The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse \({x^2} + 2{y^2} = 4\) is an ellipse with eccentricity :

Let f : R \(\to\) R be defined as f (x) = x \(-\) 1 and g : R \(-\) {1, \(-\)1} \(\to\) R be defined as \(g(x) = {{{x^2}} \over {{x^2} - 1}}\).
Then the function fog is :

The normal to the hyperbola \({{{x^2}} \over {{a^2}}} - {{{y^2}} \over 9} = 1\) at the point \(\left( {8,3\sqrt 3 } \right)\) on it passes through the point :

Let a line L1 be tangent to the hyperbola \({{{x^2}} \over {16}} - {{{y^2}} \over 4} = 1\) and let L2 be the line passing through the origin and perpendicular to L1. If the locus of the point of intersection of L1 and L2 is $${({x^2} + {y^2...

If \(\int {{1 \over x}\sqrt {{{1 - x} \over {1 + x}}} dx = g(x) + c}\), \(g(1) = 0\), then \(g\left( {{1 \over 2}} \right)\) is equal to :

If the inverse trigonometric functions take principal values then $${\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right) + {2 \over 5}\sin \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right...

\(\mathop {\lim }\limits_{x \to 0} {{\cos (\sin x) - \cos x} \over {{x^4}}}\) is equal to :

Let f(x) = min {1, 1 + x sin x}, 0 \(\le\) x \(\le\) 2\(\pi\). If m is the number of points, where f is not differentiable and n is the number of points, where f is not continuous, then the ordered pair (m, n) is equal to