JEE Main 2022 (Online) 26th July Morning Shift

The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to :

Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide \((\mathrm{PhMgBr})\) followed by acidic hydrolysis?

The major product of the following reaction is

The products formed in the following reaction, A and B are

Which technique among the following, is most appropriate in separation of a mixture of \(100 \,\mathrm{mg}\) of \(p\)-nitrophenol and picric acid ?

Which of the following compounds is not aromatic?

Which one of the following is a reducing sugar?

Match List-I with List-II :

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At \(298 \mathrm{~K}\), the equilibrium constant is \(2 \times 10^{15}\) for the reaction :
\(\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})\)
The equilibriu...

For a reaction \(\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}\) the half lives are \(100 \mathrm{~s}\) and \(50 \mathrm{~s}\) when the concentration of reactant \(\mathrm{A}\) is \(0.5\) and \(1.0 \mathrm{~mol} \mathrm{~L}^{-1}\) respect...

Stearic acid and polyethylene glycol react to form which one of the following soap/s detergents ?

The correct stability order of the following diazonium salt is

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Experimental reaction of \(\mathrm{CH}_{3} \mathrm{Cl}\) with aniline and anhydrous \(\mathrm{AlCl}_{3}\) does not gi...

The difference between spin only magnetic moment values of \(\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]\mathrm{Cl}_{2}\) and \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Cl}_{3}\) is _...

The dark purple colour of \(\mathrm{KMnO}_{4}\) disappears in the titration with oxalic acid in acidic medium. The overall change in the oxidation number of manganese in the reaction is :

The amount of charge in \(\mathrm{F}\) (Faraday) required to obtain one mole of iron from \(\mathrm{Fe}_{3} \mathrm{O}_{4}\) is ___________. (Nearest Integer)

A mixture of hydrogen and oxygen contains \(40 \%\) hydrogen by mass when the pressure is \(2.2\) bar. The partial pressure of hydrogen is bar. (Nearest Integer)

In the presence of sunlight, benzene reacts with Cl2 to give product, X. The number of hydrogens in X is _____________.

\(\stackrel{\bullet}{\mathrm{Cl}}+\mathrm{CH}_{4} \rightarrow \mathrm{A}+\mathrm{B}\)
A and B in the above atmospheric reaction step are :

Which of the following can be used to prevent the decomposition of \(\mathrm{H}_{2} \mathrm{O}_{2}\) ?

Refining using liquation method is the most suitable for metals with :

Match List - I with List - II.

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Borazine, also known as inorganic benzene, can be prepared by the reaction of 3-equivalents of "\(X\)" with 6-equivalents of "\(Y\)". "\(X\)" and "\(Y\)", respectively are :

Given two statements below :
Statement I : In \(\mathrm{Cl}_{2}\) molecule the covalent radius is double of the atomic radius of chlorine.
Statement II : Radius of anionic species is always greater than their parent atomic radius.
Choose th...

Which of the given reactions is not an example of disproportionation reaction?

Reaction of \(\mathrm{BeCl}_{2}\) with \(\mathrm{LiAlH}_{4}\) gives :
(A) \(\mathrm{AlCl}_{3}\)
(B) \(\mathrm{BeH}_{2}\)
(C) \(\mathrm{LiH}\)
(D) \(\mathrm{LiCl}\)
(E) \(\mathrm{BeAlH}_{4}\)
Choose the correct answer from options given belo...

Chlorophyll extracted from the crushed green leaves was dissolved in water to make \(2 \mathrm{~L}\) solution of Mg of concentration \(48\, \mathrm{ppm}\). The number of atoms of \(\mathrm{Mg}\) in this solution is \(x \times 10^{20}\) atom...

When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x \(\times\) 10\(-\)2 M. (Nearest integer)
(Molar mass of n...

The wavelength of an electron and a neutron will become equal when the velocity of the electron is \(x\) times the velocity of neutron. The value of \(x\) is ____________. (Nearest Integer)
(Mass of electron is $$9.1 \times 10^{-31} \mathrm...

\(2.4 \mathrm{~g}\) coal is burnt in a bomb calorimeter in excess of oxygen at \(298 \mathrm{~K}\) and \(1 \mathrm{~atm}\) pressure. The temperature of the calorimeter rises from \(298 \mathrm{~K}\) to \(300 \mathrm{~K}\). The enthalpy chan...

The length of the perpendicular from the point \((1,-2,5)\) on the line passing through \((1,2,4)\) and parallel to the line \(x+y-z=0=x-2 y+3 z-5\) is :

Let \(\mathrm{Q}\) and \(\mathrm{R}\) be two points on the line \(\frac{x+1}{2}=\frac{y+2}{3}=\frac{z-1}{2}\) at a distance \(\sqrt{26}\) from the point \(P(4,2,7)\). Then the square of the area of the triangle \(P Q R\) is ___________.

Let the function \(f(x)=2 x^{2}-\log _{\mathrm{e}} x, x>0\), be decreasing in \((0, \mathrm{a})\) and increasing in \((\mathrm{a}, 4)\). A tangent to the parabola \(y^{2}=4 a x\) at a point \(\mathrm{P}\) on it passes through the point $$(8...

The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is \({{364} \over 3}\), is equal to :

If the coefficients of \(x\) and \(x^{2}\) in the expansion of \((1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}, \mathrm{p}, \mathrm{q} \leq 15\), are \(-3\) and \(-5\) respectively, then the coefficient of \(x^{3}\) is equal to _____________.

Let O be the origin and A be the point \({z_1} = 1 + 2i\). If B is the point \({z_2}\), \({\mathop{\rm Re}\nolimits} ({z_2}) < 0\), such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT...

If \(a = \mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 1}^n {{{2n} \over {{n^2} + {k^2}}}}\) and \(f(x) = \sqrt {{{1 - \cos x} \over {1 + \cos x}}}\), \(x \in (0,1)\), then :

If \(\mathrm{n}(2 \mathrm{n}+1) \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}} \mathrm{d} x=1177 \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}+1} \mathrm{~d} x\), then \(\mathrm{n} \in \mathbf{N}\) is equal to __________...

If \({{dy} \over {dx}} + 2y\tan x = \sin x,\,0 < x < {\pi \over 2}\) and \(y\left( {{\pi \over 3}} \right) = 0\), then the maximum value of \(y(x)\) is :

Let a curve \(y=y(x)\) pass through the point \((3,3)\) and the area of the region under this curve, above the \(x\)-axis and between the abscissae 3 and \(x(>3)\) be \(\left(\frac{y}{x}\right)^{3}\). If this curve also passes through the p...

Let the tangent drawn to the parabola \(y^{2}=24 x\) at the point \((\alpha, \beta)\) is perpendicular to the line \(2 x+2 y=5\). Then the normal to the hyperbola \(\frac{x^{2}}{\alpha^{2}}-\frac{y^{2}}{\beta^{2}}=1\) at the point $$(\alpha...

\(\tan \left(2 \tan ^{-1} \frac{1}{5}+\sec ^{-1} \frac{\sqrt{5}}{2}+2 \tan ^{-1} \frac{1}{8}\right)\) is equal to :

Let f : R \(\to\) R be a continuous function such that \(f(3x) - f(x) = x\). If \(f(8) = 7\), then \(f(14)\) is equal to :

If the function $$f(x) = \left\{ {\matrix{
{{{{{\log }_e}(1 - x + {x^2}) + {{\log }_e}(1 + x + {x^2})} \over {\sec x - \cos x}}} & , & {x \in \left( {{{ - \pi } \over 2},{\pi \over 2}} \right) - \{ 0\} } \cr
k & , & {x = 0} \cr

...

If \(f(x) = \left\{ {\matrix{ {x + a} & , & {x \le 0} \cr {|x - 4|} & , & {x > 0} \cr } } \right.\) and \(g(x) = \left\{ {\matrix{ {x + 1} & , & {x < 0} \cr {{{(x - 4)}^2} + b} & , & {x \ge 0} \cr } } \right.\) are c...

Let \(f(x) = \left\{ {\matrix{ {{x^3} - {x^2} + 10x - 7,} & {x \le 1} \cr { - 2x + {{\log }_2}({b^2} - 4),} & {x > 1} \cr } } \right.\).
Then the set of all values of b, for which f(x) has maximum value at x = 1, is :

The statement \((\sim(\mathrm{p} \Leftrightarrow \,\sim \mathrm{q})) \wedge \mathrm{q}\) is :

If the system of linear equations.
\(8x + y + 4z = - 2\)
\(x + y + z = 0\)
\(\lambda x - 3y = \mu\)
has infinitely many solutions, then the distance of the point \(\left( {\lambda ,\mu , - {1 \over 2}} \right)\) from the plane $$8x + y + ...

Let A be a 2 \(\times\) 2 matrix with det (A) = \(-\) 1 and det ((A + I) (Adj (A) + I)) = 4. Then the sum of the diagonal elements of A can be :

The number of 5-digit natural numbers, such that the product of their digits is 36 , is __________.