JEE Main 2022 (Online) 28th July Evening Shift

Compound I is heated with Conc. HI to give a hydroxy compound A which is further heated with Zn dust to give compound B. Identify A and B.

Find out the major product for the above reaction.

Arrange the following in increasing order of reactivity towards nitration
A. p-xylene
B. bromobenzene
C. mesitylene
D. nitrobenzene
E. benzene
Choose the correct answer from the options given below

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Thin layer chromatography is an adsorption chromatography.
Reason R : A thin layer of silica gel is spread over a glass plate...

The formulas of A and B for the following reaction sequence

are

At \(600 \mathrm{~K}, 2 \mathrm{~mol}\) of \(\mathrm{NO}\) are mixed with \(1 \mathrm{~mol}\) of \(\mathrm{O}_{2}\).
\(2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2}(\mathrm{g}) \rightleftarrows 2 \mathrm{NO}_{2}(\mathrm{g})\)
The reaction occ...

For a reaction, given below is the graph of \(\ln k\) vs \({1 \over T}\). The activation energy for the reaction is equal to ____________ \(\mathrm{cal} \,\mathrm{mol}^{-1}\). (nearest integer)
(Given : $$\mathrm{R}=2 \,\mathrm{cal} \,\math...

Two statements in respect of drug-enzyme interaction are given below
Statement I : Action of an enzyme can be blocked only when an inhibitor blocks the active site of the enzyme.
Statement II : An inhibitor can form a strong covalent bond w...

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : Aniline on nitration yields ortho, meta & para nitro derivatives of aniline.
Reason \(\mathrm{R}\) ...

Match List I with List II

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...

Which of the following pair is not isoelectronic species?
(At. no. Sm, 62; Er, 68; Yb, 70; Lu, 71; Eu, 63; Tb, 65; Tm, 69)

The major product in the given reaction is

The products obtained during treatment of hard water using Clark's method are :

On reaction with stronger oxidizing agent like \(\mathrm{KIO}_{4}\), hydrogen peroxide oxidizes with the evolution of \(\mathrm{O}_{2}\). The oxidation number of \(\mathrm{I}\) in \(\mathrm{KIO}_{4}\) changes to __________.

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Permanganate titrations are not performed in presence of hydrochloric acid.
Reason R : Chlorine is formed as a consequence o...

White phosphorus reacts with thionyl chloride to give :

Concentrated \(\mathrm{HNO}_{3}\) reacts with Iodine to give :

Dinitrogen and dioxygen, the main constituents of air do not react with each other in atmosphere to form oxides of nitrogen because :

Match List I with List II

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...

A sample of \(0.125 \mathrm{~g}\) of an organic compound when analyzed by Duma's method yields \(22.78 \mathrm{~mL}\) of nitrogen gas collected over \(\mathrm{KOH}\) solution at \(280 \mathrm{~K}\) and \(759 \mathrm{~mm}\, \mathrm{Hg}\). Th...

The correct decreasing order for metallic character is :

Statement I : An alloy of lithium and magnesium is used to make aircraft plates.
Statement II : The magnesium ions are important for cell-membrane integrity.
In the light the above statements, choose the correct answer from the options give...

Metal \(\mathrm{M}\) crystallizes into a fcc lattice with the edge length of \(4.0 \times 10^{-8} \mathrm{~cm}\). The atomic mass of the metal is ____________ \(\mathrm{g} / \mathrm{mol}\). (Nearest integer)
\(\left(\right.\) Use : $$\mathr...

A gaseous mixture of two substances A and B, under a total pressure of \(0.8\) atm is in equilibrium with an ideal liquid solution. The mole fraction of substance A is \(0.5\) in the vapour phase and \(0.2\) in the liquid phase. The vapour ...

2L of 0.2M H2SO4 is reacted with 2L of 0.1M NaOH solution, the molarity of the resulting product Na2SO4 in the solution is _________ millimolar. (Nearest integer)

Given below are two statements: One is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion \(\mathbf{A}\) : Zero orbital overlap is an out of phase overlap.
Reason \(\mathbf{R}\) : It results du...

If the wavelength for an electron emitted from \(\mathrm{H}\)-atom is \(3.3 \times 10^{-10} \mathrm{~m}\), then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom, is _______...

Among the following the number of curves not in accordance with Freundlich adsorption isotherm is ________.
(a)
(b)
(c)
(d)

Given below are two statements: One is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : The reduction of a metal oxide is easier if the metal formed is in liquid state than solid state.
R...

Among the following the number of state variables is ______________.
Internal energy (U)
Volume (V)
Heat (q)
Enthalpy (H)

Let the lines \(\frac{x-1}{\lambda}=\frac{y-2}{1}=\frac{z-3}{2}\) and \(\frac{x+26}{-2}=\frac{y+18}{3}=\frac{z+28}{\lambda}\) be coplanar and \(\mathrm{P}\) be the plane containing these two lines. Then which of the following points does NO...

A plane P is parallel to two lines whose direction ratios are \(-2,1,-3\) and \(-1,2,-2\) and it contains the point \((2,2,-2)\). Let P intersect the co-ordinate axes at the points \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) making the intercept...

The function \(f(x)=x \mathrm{e}^{x(1-x)}, x \in \mathbb{R}\), is :

The area enclosed by the curves \(y=\log _{e}\left(x+\mathrm{e}^{2}\right), x=\log _{e}\left(\frac{2}{y}\right)\) and \(x=\log _{\mathrm{e}} 2\), above the line \(y=1\) is:

Let the coefficients of the middle terms in the expansion of \(\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}\) and \(\left(1-\frac{\beta}{2} x\right)^{6}, \beta>0\), respectively form the first three terms of an A.P. If d is...

If \(1 + (2 + {}^{49}{C_1} + {}^{49}{C_2} + \,\,...\,\, + \,\,{}^{49}{C_{49}})({}^{50}{C_2} + {}^{50}{C_4} + \,\,...\,\, + \,\,{}^{50}{C_{50}})\) is equal to \(2^{\mathrm{n}} \cdot \mathrm{m}\), where \(\mathrm{m}\) is odd, then $$\mathrm{n...

Let the tangents at two points \(\mathrm{A}\) and \(\mathrm{B}\) on the circle \(x^{2}+\mathrm{y}^{2}-4 x+3=0\) meet at origin \(\mathrm{O}(0,0)\). Then the area of the triangle \(\mathrm{OAB}\) is :

Let \(\mathrm{z}=a+i b, b \neq 0\) be complex numbers satisfying \(z^{2}=\bar{z} \cdot 2^{1-z}\). Then the least value of \(n \in N\), such that \(z^{n}=(z+1)^{n}\), is equal to __________.

Let \(I_{n}(x)=\int_{0}^{x} \frac{1}{\left(t^{2}+5\right)^{n}} d t, n=1,2,3, \ldots .\) Then :

The value of the integral \(\int\limits_{0}^{\frac{\pi}{2}} 60 \frac{\sin (6 x)}{\sin x} d x\) is equal to _________.

Let \(y=y(x)\) be the solution curve of the differential equation \(\frac{d y}{d x}+\frac{1}{x^{2}-1} y=\left(\frac{x-1}{x+1}\right)^{1 / 2}\), \(x >1\) passing through the point \(\left(2, \sqrt{\frac{1}{3}}\right)\). Then $$\sqrt{7}\, y...

The differential equation of the family of circles passing through the points \((0,2)\) and \((0,-2)\) is :

Let \(x(t)=2 \sqrt{2} \cos t \sqrt{\sin 2 t}\) and \(y(t)=2 \sqrt{2} \sin t \sqrt{\sin 2 t}, t \in\left(0, \frac{\pi}{2}\right)\). Then \(\frac{1+\left(\frac{d y}{d x}\right)^{2}}{\frac{d^{2} y}{d x^{2}}}\) at \(t=\frac{\pi}{4}\) is equal t...

Let the tangents at the points \(\mathrm{P}\) and \(\mathrm{Q}\) on the ellipse \(\frac{x^{2}}{2}+\frac{y^{2}}{4}=1\) meet at the point \(R(\sqrt{2}, 2 \sqrt{2}-2)\). If \(\mathrm{S}\) is the focus of the ellipse on its negative major axis,...

\(\text { Let } f(x)=a x^{2}+b x+c \text { be such that } f(1)=3, f(-2)=\lambda \text { and }\) \(f(3)=4\). If \(f(0)+f(1)+f(-2)+f(3)=14\), then \(\lambda\) is equal to :

A horizontal park is in the shape of a triangle \(\mathrm{OAB}\) with \(\mathrm{AB}=16\). A vertical lamp post \(\mathrm{OP}\) is erected at the point \(\mathrm{O}\) such that \(\angle \mathrm{PAO}=\angle \mathrm{PBO}=15^{\circ}\) and $$\an...

Let the hyperbola \(H: \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) pass through the point \((2 \sqrt{2},-2 \sqrt{2})\). A parabola is drawn whose focus is same as the focus of \(\mathrm{H}\) with positive abscissa and the directrix of the p...

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

The function \(f: \mathbb{R} \rightarrow \mathbb{R}\) defined by \(f(x)=\lim\limits_{n \rightarrow \infty} \frac{\cos (2 \pi x)-x^{2 n} \sin (x-1)}{1+x^{2 n+1}-x^{2 n}}\) is continuous for all x in :

Let
\(\mathrm{p}\) : Ramesh listens to music.
\(\mathrm{q}\) : Ramesh is out of his village.
\(\mathrm{r}\) : It is Sunday.
\(\mathrm{s}\) : It is Saturday.
Then the statement "Ramesh listens to music only if he is in his village and it is ...