JEE Main 2023 (Online) 10th April Evening Shift

The correct order for acidity of the following hydroxyl compound is :
A. \(\mathrm{CH}_{3} \mathrm{OH}\)
B. \(\left(\mathrm{CH}_{3}\right)_{3} \mathrm{COH}\)
C.
D.
E.
Choose the correct answer from the options given below:

Incorrect method of preparation for alcohols from the following is:

The decreasing order of hydride affinity for following carbocations is:

Choose the correct answer from the options given below:

The number of molecules from the following which contain only two lone pair of electrons is ________
$$\mathrm{H}_{2} \mathrm{O}, \mathrm{N}_{2}, \mathrm{CO}, \mathrm{XeF}_{4}, \mathrm{NH}_{3}, \mathrm{NO}, \mathrm{CO}_{2}, \mathrm{~F}_{2}$...

\(\mathrm{A}(g) \rightleftharpoons 2 \mathrm{~B}(g)+\mathrm{C}(g)\)
For the given reaction, if the initial pressure is \(450 \mathrm{~mm} ~\mathrm{Hg}\) and the pressure at time \(\mathrm{t}\) is \(720 \mathrm{~mm} ~\mathrm{Hg}\) at a const...

The number of incorrect statement/s from the following is ___________
A. The successive half lives of zero order reactions decreases with time.
B. A substance appearing as reactant in the chemical equation may not affect the rate of reactio...

The reaction used for preparation of soap from fat is :

The major product 'P' formed in the given reaction is:

In the reaction given below:

The product 'X' is:

The correct order of the number of unpaired electrons in the given complexes is
A. \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\)
B. \(\left[\mathrm{Fe} \mathrm{F}_{6}\right]^{3-}\)
C. \(\left[\mathrm{CoF}_{6}\right]^{3-}\)
D. $$\left.[...

Match List I with List II

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...

For a metal ion, the calculated magnetic moment is \(4.90 ~\mathrm{BM}\). This metal ion has ___________ number of unpaired electrons.

The specific conductance of \(0.0025 ~\mathrm{M}\) acetic acid is \(5 \times 10^{-5} \mathrm{~S} \mathrm{~cm}^{-1}\) at a certain temperature. The dissociation constant of acetic acid is __________ \(\times ~10^{-7}\) (Nearest integer)
Cons...

The delicate balance of \(\mathrm{CO}_{2}\) and \(\mathrm{O}_{2}\) is NOT disturbed by :

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : Physical properties of isotopes of hydrogen are different.
Reason R : Mass difference between isoto...

Gibbs energy vs T plot for the formation of oxides is given below.

For the given diagram, the correct statement is -

The difference in the oxidation state of \(\mathrm{Xe}\) between the oxidised product of \(\mathrm{Xe}\) formed on complete hydrolysis of \(\mathrm{XeF}_{4}\) is ___________

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : The energy required to form \(\mathrm{Mg}^{2+}\) from \(\mathrm{Mg}\) is much higher than that requ...

Buna-S can be represented as:

In Carius tube, an organic compound '\(\mathrm{X}\)' is treated with sodium peroxide to form a mineral acid 'Y'.
The solution of \(\mathrm{BaCl}_{2}\) is added to '\(\mathrm{Y}\)' to form a precipitate 'Z'. 'Z' is used for the quantitative ...

In alkaline medium, the reduction of permanganate anion involves a gain of __________ electrons.

The correct order of metallic character is :

Number of water molecules in washing soda and soda ash respectively are :

The correct relationships between unit cell edge length '\(a\)' and radius of sphere '\(r\)' for face-centred and body-centred cubic structures respectively are :

An aqueous solution of volume \(300 \mathrm{~cm}^{3}\) contains \(0.63 \mathrm{~g}\) of protein. The osmotic pressure of the solution at \(300 \mathrm{~K}\) is 1.29 mbar. The molar mass of the protein is ___________ $$\mathrm{g} ~\mathrm{mo...

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : \(3.1500 \mathrm{~g}\) of hydrated oxalic acid dissolved in water to make \(250.0 \mathrm{~mL}\) so...

Match List I with List II

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...

The electron in the \(\mathrm{n}^{\text {th }}\) orbit of \(\mathrm{Li}^{2+}\) is excited to \((\mathrm{n}+1)\) orbit using the radiation of energy \(1.47 \times 10^{-17} \mathrm{~J}\) (as shown in the diagram). The value of \(\mathrm{n}\)...

Ferric chloride is applied to stop bleeding because -

The number of endothermic process/es from the following is ______________.
A. \(\mathrm{I}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{I}(\mathrm{g})\)
B. \(\mathrm{HCl}(\mathrm{g}) \rightarrow \mathrm{H}(\mathrm{g})+\mathrm{Cl}(\mathrm{g})\)
C....

Let the image of the point \(\mathrm{P}(1,2,6)\) in the plane passing through the points \(\mathrm{A}(1,2,0), \mathrm{B}(1,4,1)\) and \(\mathrm{C}(0,5,1)\) be \(\mathrm{Q}(\alpha, \beta, \gamma)\). Then $$\left(\alpha^{2}+\beta^{2}+\gamma^{...

Let the line \(\frac{x}{1}=\frac{6-y}{2}=\frac{z+8}{5}\) intersect the lines \(\frac{x-5}{4}=\frac{y-7}{3}=\frac{z+2}{1}\) and \(\frac{x+3}{6}=\frac{3-y}{3}=\frac{z-6}{1}\) at the points \(\mathrm{A}\) and \(\mathrm{B}\) respectively. Then ...

Let the foot of perpendicular from the point \(\mathrm{A}(4,3,1)\) on the plane \(\mathrm{P}: x-y+2 z+3=0\) be N. If B\((5, \alpha, \beta), \alpha, \beta \in \mathbb{Z}\) is a point on plane P such that the area of the triangle ABN is $$3 \...

Let \(\mathrm{g}(x)=f(x)+f(1-x)\) and \(f^{\prime \prime}(x) > 0, x \in(0,1)\). If \(\mathrm{g}\) is decreasing in the interval \((0, a)\) and increasing in the interval \((\alpha, 1)\), then $$\tan ^{-1}(2 \alpha)+\tan ^{-1}\left(\frac{1}{...

Let the quadratic curve passing through the point \((-1,0)\) and touching the line \(y=x\) at \((1,1)\) be \(y=f(x)\). Then the \(x\)-intercept of the normal to the curve at the point \((\alpha, \alpha+1)\) in the first quadrant is ________...

If the area of the region \(\left\{(x, \mathrm{y}):\left|x^{2}-2\right| \leq y \leq x\right\}\) is \(\mathrm{A}\), then \(6 \mathrm{A}+16 \sqrt{2}\) is equal to __________.

Let the number \((22)^{2022}+(2022)^{22}\) leave the remainder \(\alpha\) when divided by 3 and \(\beta\) when divided by 7. Then \(\left(\alpha^{2}+\beta^{2}\right)\) is equal to :

If the coefficients of \(x\) and \(x^{2}\) in \((1+x)^{\mathrm{p}}(1-x)^{\mathrm{q}}\) are 4 and \(-\)5 respectively, then \(2 p+3 q\) is equal to :

Let A be the point \((1,2)\) and B be any point on the curve \(x^{2}+y^{2}=16\). If the centre of the locus of the point P, which divides the line segment \(\mathrm{AB}\) in the ratio \(3: 2\) is the point C\((\alpha, \beta)\), then the len...

Let \(S = \left\{ {z = x + iy:{{2z - 3i} \over {4z + 2i}}\,\mathrm{is\,a\,real\,number}} \right\}\). Then which of the following is NOT correct?

Let \(f\) be a continuous function satisfying \(\int_\limits{0}^{t^{2}}\left(f(x)+x^{2}\right) d x=\frac{4}{3} t^{3}, \forall t > 0\). Then

\(f\left(\frac{\pi^{2}}{4}\right)\) is equal to :

Let the tangent at any point P on a curve passing through the points (1, 1) and \(\left(\frac{1}{10}, 100\right)\), intersect positive \(x\)-axis and \(y\)-axis at the points A and B respectively. If \(\mathrm{PA}: \mathrm{PB}=1: k\) and $$...

Let a circle of radius 4 be concentric to the ellipse \(15 x^{2}+19 y^{2}=285\). Then the common tangents are inclined to the minor axis of the ellipse at the angle :

For \(\alpha, \beta, \gamma, \delta \in \mathbb{N}\), if $$\int\left(\left(\frac{x}{e}\right)^{2 x}+\left(\frac{e}{x}\right)^{2 x}\right) \log _{e} x d x=\frac{1}{\alpha}\left(\frac{x}{e}\right)^{\beta x}-\frac{1}{\gamma}\left(\frac{e}{x}\r...

If the domain of the function \(f(x)=\sec ^{-1}\left(\frac{2 x}{5 x+3}\right)\) is \([\alpha, \beta) \mathrm{U}(\gamma, \delta]\), then \(|3 \alpha+10(\beta+\gamma)+21 \delta|\) is equal to _________.

The statement \(\sim[p \vee(\sim(p \wedge q))]\) is equivalent to :

If $$\mathrm{A}=\frac{1}{5 ! 6 ! 7 !}\left[\begin{array}{ccc}5 ! & 6 ! & 7 ! \\ 6 ! & 7 ! & 8 ! \\ 7 ! & 8 ! & 9 !\end{array}\right]$$, then \(|\operatorname{adj}(\operatorname{adj}(2 \mathrm{~A}))|\) is equal to :

Let \(\mathrm{S}\) be the set of values of \(\lambda\), for which the system of equations \(6 \lambda x-3 y+3 z=4 \lambda^{2}\), \(2 x+6 \lambda y+4 z=1\), \(3 x+2 y+3 \lambda z=\lambda\) has no solution. Then $$12 \sum_\limits{i \in S}|\la...

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is :

The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to __________.