JEE Main 2022 (Online) 26th July Evening Shift

Hydrolysis of which compound will give carbolic acid?

Consider the above reaction and predict the major product.

The correct decreasing order of priority of functional groups in naming an organic Question: compound as per IUPAC system of nomenclature is

Which of the following is not an example of benzenoid compound?

Total number of isomers (including stereoisomers) obtained on monochlorination of methylcyclohexane is ___________.

Animal starch is the other name of

Arrange the following in increasing order of their covalent character.
A. \(\mathrm{CaF}_{2}\)
B. \(\mathrm{CaCl}_{2}\)
C. \(\mathrm{CaBr}_{2}\)
D. \(\mathrm{CaI}_{2}\)
Choose the correct answer from the options given below.

At \(30^{\circ} \mathrm{C}\), the half life for the decomposition of \(\mathrm{AB}_{2}\) is \(200 \mathrm{~s}\) and is independent of the initial concentration of \(\mathrm{AB}_{2}\). The time required for \(80 \%\) of the $$\mathrm{AB}_{2}...

How many of the following drugs is/are example(s) of broad spectrum antibiotics?
Ofloxacin, Penicillin G, Terpineol, Salvarsan.

The correct sequential order of the reagents for the given reaction is

The metal complex that is diamagnetic is (Atomic number: \(\mathrm{Fe}, 26 ; \mathrm{Cu}, 29)\)

The spin-only magnetic moment value of the compound with strongest oxidizing ability among \(\mathrm{MnF}_{4}, \mathrm{MnF}_{3}\) and \(\mathrm{MnF}_{2}\) is ____________ B.M. [nearest integer]

Match List I with List II.

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A \(10 \mathrm{~g}\) mixture of hydrogen and helium is contained in a vessel of capacity \(0.0125 \mathrm{~m}^{3}\) at 6 bar and \(27^{\circ} \mathrm{C}\). The mass of helium in the mixture is ____________ g. (nearest integer)
Given: $$\mat...

The products obtained from a reaction of hydrogen peroxide and acidified potassium permanganate are :

Class XII students were asked to prepare one litre of buffer solution of \(\mathrm{pH} \,8.26\) by their Chemistry teacher: The amount of ammonium chloride to be dissolved by the student in \(0.2\, \mathrm{M}\) ammonia solution to make one ...

The metal that is not extracted from its sulfide ore is :

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion : Boric acid is a weak acid.
Reason R : Boric acid is not able to release \(\mathrm{H}^{+}\) ion on its own. It receives $$\mat...

The number of non-ionisable protons present in the product B obtained from the following reactions is ___________.
$$
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}+\mathrm{PCl}_{3} \rightarrow \mathrm{C}_{2} {\mathrm{H}_{5} \mathrm{Cl}+\mathrm{...

Vulcanization of rubber is carried out by heating a mixture of

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\).
Assertion A: Phenolphthalein is a \(\mathrm{pH}\) dependent indicator, remains colourless in acidic solution and...

\(20 \mathrm{~mL}\) of \(0.02\, \mathrm{M}\) hypo solution is used for the titration of \(10 \mathrm{~mL}\) of copper sulphate solution, in the presence of excess of KI using starch as an indicator. The molarity of \(\mathrm{Cu}^{2+}\) is f...

The metal that has very low melting point and its periodic position is closer to a metalloid is :

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: \(\mathrm{LiF}\) is sparingly soluble in water.
Reason R: The ionic radius of \(\mathrm{Li}^{+}\) ion is smallest among its g...

The elevation in boiling point for 1 molal solution of non-volatile solute A is \(3 \mathrm{~K}\). The depression in freezing point for 2 molal solution of \(\mathrm{A}\) in the same solvent is 6 \(K\). The ratio of \(K_{b}\) and \(K_{f}\) ...

Hemoglobin contains \(0.34 \%\) of iron by mass. The number of Fe atoms in \(3.3 \mathrm{~g}\) of hemoglobin is
(Given: Atomic mass of Fe is \(56 \,\mathrm{u}, \mathrm{N}_{\mathrm{A}}=6.022 \times 10^{23} \mathrm{~mol}^{-1}\).)

A \(100 \mathrm{~mL}\) solution of \(\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{MgBr}\) on treatment with methanol produces \(2.24 \mathrm{~mL}\) of a gas at STP. The weight of gas produced is _____________ mg. [nearest integer]

Consider an imaginary ion \({ }_{22}^{48} \mathrm{X}^{3-}\). The nucleus contains '\(a\)'% more neutrons than the number of electrons in the ion. The value of 'a' is _______________. [nearest integer]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Finest gold is red in colour, as the size of the particles increases, it appears purple then blue and finally gold.
Reason R...

For the reaction
\(\mathrm{H}_{2} \mathrm{F}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{2}(\mathrm{~g})+\mathrm{F}_{2}(\mathrm{~g})\)
\(\Delta U=-59.6 \mathrm{~kJ} \mathrm{~mol}^{-1}\) at \(27^{\circ} \mathrm{C}\).
The enthalpy change for the...

A vector \(\vec{a}\) is parallel to the line of intersection of the plane determined by the vectors \(\hat{i}, \hat{i}+\hat{j}\) and the plane determined by the vectors \(\hat{i}-\hat{j}, \hat{i}+\hat{k}\). The obtuse angle between $$\vec{a...

The largest value of \(a\), for which the perpendicular distance of the plane containing the lines \(\vec{r}=(\hat{i}+\hat{j})+\lambda(\hat{i}+a \hat{j}-\hat{k})\) and \(\vec{r}=(\hat{i}+\hat{j})+\mu(-\hat{i}+\hat{j}-a \hat{k})\) from the ...

The plane passing through the line \(L: l x-y+3(1-l) z=1, x+2 y-z=2\) and perpendicular to the plane \(3 x+2 y+z=6\) is \(3 x-8 y+7 z=4\). If \(\theta\) is the acute angle between the line \(L\) and the \(y\)-axis, then $$415 \cos ^{2} \th...

If the maximum value of \(a\), for which the function \(f_{a}(x)=\tan ^{-1} 2 x-3 a x+7\) is non-decreasing in \(\left(-\frac{\pi}{6}, \frac{\pi}{6}\right)\), is \(\bar{a}\), then \(f_{\bar{a}}\left(\frac{\pi}{8}\right)\) is equal to :

The area bounded by the curves \(y=\left|x^{2}-1\right|\) and \(y=1\) is

\(\sum\limits_{\matrix{ {i,j = 0} \cr {i \ne j} \cr } }^n {{}^n{C_i}\,{}^n{C_j}}\) is equal to

Let the abscissae of the two points \(P\) and \(Q\) on a circle be the roots of \(x^{2}-4 x-6=0\) and the ordinates of \(\mathrm{P}\) and \(\mathrm{Q}\) be the roots of \(y^{2}+2 y-7=0\). If \(\mathrm{PQ}\) is a diameter of the circle $$x^{...

If \(z=x+i y\) satisfies \(|z|-2=0\) and \(|z-i|-|z+5 i|=0\), then :

\(\int\limits_{0}^{20 \pi}(|\sin x|+|\cos x|)^{2} d x \text { is equal to }\)

Let the solution curve \(y=f(x)\) of the differential equation \(\frac{d y}{d x}+\frac{x y}{x^{2}-1}=\frac{x^{4}+2 x}{\sqrt{1-x^{2}}}\), \(x\in(-1,1)\) pass through the origin. Then $$\int\limits_{-\frac{\sqrt{3}}{2}}^{\frac{\sqrt{3}}{2}}...

Suppose \(y=y(x)\) be the solution curve to the differential equation \(\frac{d y}{d x}-y=2-e^{-x}\) such that \(\lim\limits_{x \rightarrow \infty} y(x)\) is finite. If \(a\) and \(b\) are respectively the \(x\) - and \(y\)-intercepts of t...

The value of \(\log _{e} 2 \frac{d}{d x}\left(\log _{\cos x} \operatorname{cosec} x\right)\) at \(x=\frac{\pi}{4}\) is

The acute angle between the pair of tangents drawn to the ellipse \(2 x^{2}+3 y^{2}=5\) from the point \((1,3)\) is :

If the line \(x-1=0\) is a directrix of the hyperbola \(k x^{2}-y^{2}=6\), then the hyperbola passes through the point :

\(\text { The integral } \int \frac{\left(1-\frac{1}{\sqrt{3}}\right)(\cos x-\sin x)}{\left(1+\frac{2}{\sqrt{3}} \sin 2 x\right)} d x \text { is equal to }\)

If \(0 < x < {1 \over {\sqrt 2 }}\) and \({{{{\sin }^{ - 1}}x} \over \alpha } = {{{{\cos }^{ - 1}}x} \over \beta }\), then the value of \(\sin \left( {{{2\pi \alpha } \over {\alpha + \beta }}} \right)\) is :

Let \(\beta=\mathop {\lim }\limits_{x \to 0} \frac{\alpha x-\left(e^{3 x}-1\right)}{\alpha x\left(e^{3 x}-1\right)}\) for some \(\alpha \in \mathbb{R}\). Then the value of \(\alpha+\beta\) is :

Negation of the Boolean expression \(p \Leftrightarrow(q \Rightarrow p)\) is

$$
\text { Let } A=\left[\begin{array}{l}
1 \\
1 \\
1
\end{array}\right] \text { and } B=\left[\begin{array}{ccc}
9^{2} & -10^{2} & 11^{2} \\
12^{2} & 13^{2} & -14^{2} \\
-15^{2} & 16^{2} & 17^{2}
\end{array}\right] \text {, then the value ...

The number of matrices $$A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right)$$, where \(a, b, c, d \in\{-1,0,1,2,3, \ldots \ldots, 10\}\), such that \(A=A^{-1}\), is ___________.