JEE Main 2023 (Online) 8th April Evening Shift

The correct IUPAC nomenclature for the following compound is:

The descending order of acidity for the following carboxylic acid is-
A. \(\mathrm{CH}_{3} \mathrm{COOH}\)
B. \(\mathrm{F}_{3} \mathrm{C}-\mathrm{COOH}\)
C. \(\mathrm{ClCH}_{2}-\mathrm{COOH}\)
D. \(\mathrm{FCH}_{2}-\mathrm{COOH}\)
E. $$\mat...

Match List I with List II

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...

The number of species from the following carrying a single lone pair on central atom Xenon is ___________.
$$\mathrm{XeF}_{5}^{+}, \mathrm{XeO}_{3}, \mathrm{XeO}_{2} \mathrm{~F}_{2}, \mathrm{XeF}_{5}^{-}, \mathrm{XeO}_{3} \mathrm{~F}_{2}, \...

The correct reaction profile diagram for a positive catalyst reaction.

The statement/s which are true about antagonists from the following is/are:
A. They bind to the receptor site.
B. Get transferred inside the cell for their action.
C. Inhibit the natural communication of the body.
D. Mimic the natural messe...

The product (\(\mathrm{P}\)) formed from the following multistep reaction is:

Match List I with List II

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...

The observed magnetic moment of the complex \(\left.\left[\operatorname{Mn}(\underline{N} C S)_{6}\right)\right]^{x^{-}}\) is \(6.06 ~\mathrm{BM}\). The numerical value of \(x\) is __________.

The number of incorrect statements from the following is ___________.
A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy.
B. \(\mathrm{E_{cell}^{\circ}}\) cell is de...

Which of these reactions is not a part of breakdown of ozone in stratosphere?

Arrange the following gases in increasing order of van der Waals constant 'a'
A. Ar
B. \(\mathrm{CH}_{4}\)
C. \(\mathrm{H}_{2} \mathrm{O}\)
D. \(\mathrm{C}_{6} \mathrm{H}_{6}\)
Choose the correct option from the following.

Major product '\(\mathrm{P}\)' formed in the following reaction is:

The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous \(\mathrm{NaOH}\) is :

Choose the correct answer from the options given below:

Which of the following can reduce decomposition of \(\mathrm{H}_{2} \mathrm{O}_{2}\) on exposure to light :

The solubility product of \(\mathrm{BaSO}_{4}\) is \(1 \times 10^{-10}\) at \(298 \mathrm{~K}\). The solubility of \(\mathrm{BaSO}_{4}\) in \(0.1 ~\mathrm{M} ~\mathrm{K}_{2} \mathrm{SO}_{4}(\mathrm{aq})\) solution is ___________ $$\times 10...

In Hall - Heroult process, the following is used for reducing \(\mathrm{Al}_{2} \mathrm{O}_{3}\) :-

The ratio of sigma and \(\pi\) bonds present in pyrophosphoric acid is ___________.

A compound '\(\mathrm{X}\)' when treated with phthalic anhydride in presence of concentrated \(\mathrm{H}_{2} \mathrm{SO}_{4}\) yields '\(\mathrm{Y}\)'. '\(\mathrm{Y}\)' is used as an acid/base indicator. '\(\mathrm{X}\)' and '$$\mathrm{Y}$...

Given below are two statements:
Statement I : Methyl orange is a weak acid.
Statement II : The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form.
In the light of the above statement, choose the most app...

Given below are two statements:
Statement I : In redox titration, the indicators used are sensitive to change in \(\mathrm{pH}\) of the solution.
Statement II : In acid-base titration, the indicators used are sensitive to change in oxidatio...

The sum of oxidation state of the metals in \(\mathrm{Fe}(\mathrm{CO})_{5}, \mathrm{VO}^{2+}\) and \(\mathrm{WO}_{3}\) is ___________.

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Sodium is about 30 times as abundant as potassium in the oceans.
Reason R : Potassium is bigger in size than sodium.
In the ...

For a good quality cement, the ratio of lime to the total of the oxides of \(\mathrm{Si}, \mathrm{Al}\) and $\mathrm{Fe}$ should be as close as to :

If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio \(2: 1\) and their enthalpy of vaporizations are in the ratio \(1: 2\), then the boiling point elevation constant of \(\mathrm{X}\) is $$\underli...

Which of the following have same number of significant figures?
A. 0.00253
B. 1.0003
C. 15.0
D. 163
Choose the correct answer from the options given below

Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is
Given \(v=\) frequency of \(\mathrm{X}\)-ray emitted
Z = atomic number

The number of atomic orbitals from the following having 5 radial nodes is ___________.
\(7 \mathrm{s}, 7 \mathrm{p}, 6 \mathrm{s}, 8 \mathrm{p}, 8 \mathrm{d}\)

Coagulating value of the electrolytes \(\mathrm{AlCl}_{3}\) and \(\mathrm{NaCl}\) for \(\mathrm{As}_{2} \mathrm{S}_{3}\) are 0.09 and 50.04 respectively. The coagulating power of \(\mathrm{AlCl}_{3}\) is \(x\) times the coagulating power of...

For complete combustion of ethene.
\(\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})\)
the amount of heat produced as measured in bomb ...

For \(\mathrm{a}, \mathrm{b} \in \mathbb{Z}\) and \(|\mathrm{a}-\mathrm{b}| \leq 10\), let the angle between the plane \(\mathrm{P}: \mathrm{ax}+y-\mathrm{z}=\mathrm{b}\) and the line \(l: x-1=\mathrm{a}-y=z+1\) be $$\cos ^{-1}\left(\frac{1...

Let \(\mathrm{P}\) be the plane passing through the line \(\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}\) and the point \((2,4,-3)\). If the image of the point \((-1,3,4)\) in the plane P is \((\alpha, \beta, \gamma)\) then $$\alpha+\beta+\ga...

Let \(\mathrm{P}_{1}\) be the plane \(3 x-y-7 z=11\) and \(\mathrm{P}_{2}\) be the plane passing through the points \((2,-1,0),(2,0,-1)\), and \((5,1,1)\). If the foot of the perpendicular drawn from the point \((7,4,-1)\) on the line of in...

Let the area enclosed by the lines \(x+y=2, \mathrm{y}=0, x=0\) and the curve \(f(x)=\min \left\{x^{2}+\frac{3}{4}, 1+[x]\right\}\) where \([x]\)
denotes the greatest integer \(\leq x\), be \(\mathrm{A}\). Then the value of $$12 \mathrm{~A...

\(25^{190}-19^{190}-8^{190}+2^{190}\) is divisible by :

The absolute difference of the coefficients of \(x^{10}\) and \(x^{7}\) in the expansion of \(\left(2 x^{2}+\frac{1}{2 x}\right)^{11}\) is equal to :

Let O be the origin and OP and OQ be the tangents to the circle \(x^2+y^2-6x+4y+8=0\) at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point \(\left( {\alpha ,{1 \over 2}} \right)\), then a value of $$...

Let \(A=\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1-i \sin \theta}\right.\) is purely imaginary \(\}\). Then the sum of the elements in \(\mathrm{A}\) is :

Let \([t]\) denote the greatest integer function. If \(\int_\limits{0}^{2.4}\left[x^{2}\right] d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}+\delta \sqrt{5}\), then \(\alpha+\beta+\gamma+\delta\) is equal to __________.

Let the solution curve \(x=x(y), 0 < y < \frac{\pi}{2}\), of the differential equation \(\left(\log _{e}(\cos y)\right)^{2} \cos y \mathrm{~d} x-\left(1+3 x \log _{e}(\cos y)\right) \sin \mathrm{y} d y=0\) satisfy $$x\left(\frac{\pi}{3}\rig...

Let \(\mathrm{R}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}\}\) and \(\mathrm{S}=\{1,2,3,4\}\). Total number of onto functions \(f: \mathrm{R} \rightarrow \mathrm{S}\)
such that \(f(\mathrm{a}) \neq 1\), is equal to ______...

If domain of the function \(\log _{e}\left(\frac{6 x^{2}+5 x+1}{2 x-1}\right)+\cos ^{-1}\left(\frac{2 x^{2}-3 x+4}{3 x-5}\right)\) is \((\alpha, \beta) \cup(\gamma, \delta]\), then $$18\left(\alpha^{2}+\beta^{2}+\gamma^{2}+\delta^{2}\right)...

The integral \(\int\left[\left(\frac{x}{2}\right)^x+\left(\frac{2}{x}\right)^x\right] \ln \left(\frac{e x}{2}\right) d x\) is equal to :

If \(\alpha > \beta > 0\) are the roots of the equation \(a x^{2}+b x+1=0\), and $$\lim_\limits{x \rightarrow \frac{1}{\alpha}}\left(\frac{1-\cos \left(x^{2}+b x+a\right)}{2(1-\alpha x)^{2}}\right)^{\frac{1}{2}}=\frac{1}{k}\left(\frac{1}{\b...

Let \(\mathrm{k}\) and \(\mathrm{m}\) be positive real numbers such that the function $$f(x)=\left\{\begin{array}{cc}3 x^{2}+k \sqrt{x+1}, & 0 < x < 1 \\ m x^{2}+k^{2}, & x \geq 1\end{array}\right.$$ is differentiable for all \(x > 0\). The...

The negation of \((p \wedge(\sim q)) \vee(\sim p)\) is equivalent to :

If $$A=\left[\begin{array}{cc}1 & 5 \\ \lambda & 10\end{array}\right], \mathrm{A}^{-1}=\alpha \mathrm{A}+\beta \mathrm{I}$$ and \(\alpha+\beta=-2\), then \(4 \alpha^{2}+\beta^{2}+\lambda^{2}\) is equal to :

Let S be the set of all values of \(\theta \in[-\pi, \pi]\) for which the system of linear equations
\(x+y+\sqrt{3} z=0\)
\(-x+(\tan \theta) y+\sqrt{7} z=0\)
\(x+y+(\tan \theta) z=0\)
has non-trivial solution. Then $$\frac{120}{\pi} \sum_\l...

Let \(\mathrm{A}(0,1), \mathrm{B}(1,1)\) and \(\mathrm{C}(1,0)\) be the mid-points of the sides of a triangle with incentre at the point \(\mathrm{D}\). If the focus of the parabola \(y^{2}=4 \mathrm{ax}\) passing through \(\mathrm{D}\) is ...

The ordinates of the points P and \(\mathrm{Q}\) on the parabola with focus \((3,0)\) and directrix \(x=-3\) are in the ratio \(3: 1\). If \(\mathrm{R}(\alpha, \beta)\) is the point of intersection of the tangents to the parabola at $$\math...