JEE Main 2023 (Online) 6th April Morning Shift

Match List I with List II

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Match List I with List II

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The number of species from the following which have square pyramidal structure is _________
\(\mathrm{PF}_{5}, \mathrm{BrF}_{4}^{-}, \mathrm{IF}_{5}, \mathrm{BrF}_{5}, \mathrm{XeOF}_{4}, \mathrm{ICl}_{4}^{-}\)

For a concentrated solution of a weak electrolyte (\(\mathrm{K}_{\text {eq }}=\) equilibrium constant) \(\mathrm{A}_{2} \mathrm{B}_{3}\) of concentration '\(c\)', the degree of dissociation '\(\alpha\)' is :

Match List I with List II

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The major products A and B from the following reactions are:

The major product formed in the following reaction is

Compound \(\mathrm{P}\) is neutral, \(\mathrm{Q}\) gives effervescence with \(\mathrm{NaHCO}_{3}\) while \(\mathrm{R}\) reacts with Hinsbergs reagent to give solid soluble in \(\mathrm{NaOH}\). Compound \(\mathrm{P}\) 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 spin only magnetic moment value for \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) is $$1.7...

Number of ambidentate ligands in a representative metal complex \(\left[\mathrm{M}(\mathrm{en})(\mathrm{SCN})_{4}\right]\) is ___________.
[en = ethylenediamine]

Strong reducing and oxidizing agents among the following, respectively, are :

The standard electrode potential of \(\mathrm{M}^{+} / \mathrm{M}\) in aqueous solution does not depend on

The possibility of photochemical smog formation is more at :

For the reaction

The correct statement is

Number of bromo derivatives obtained on treating ethane with excess of \(\mathrm{Br}_{2}\) in diffused sunlight is ___________

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Loss of electron from hydrogen atom results in nucleus of \(\sim 1.5 \times 10^{-3} \mathrm{pm}\) size.
Reason R : Proton $$...

The setting time of Cement is increased by adding :

Match List I with List II

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The difference between electron gain enthalpies will be maximum between :

Polymer used in orlon is :

Match List I with List II

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Which of the following options are correct for the reaction
$$2\left[\mathrm{Au}(\mathrm{CN})_{2}\right]^{-}(\mathrm{aq})+\mathrm{Zn}(\mathrm{s}) \rightarrow 2 \mathrm{Au}(\mathrm{s})+\left[\mathrm{Zn}(\mathrm{CN})_{4}\right]^{2-}(\mathrm{a...

In ammonium - phosphomolybdate, the oxidation state of Mo is + ___________

A compound is formed by two elements \(\mathrm{X}\) and \(\mathrm{Y}\). The element \(\mathrm{Y}\) forms cubic close packed arrangement and those of element \(\mathrm{X}\) occupy one third of the tetrahedral voids. What is the formula of th...

Mass of Urea \(\left(\mathrm{NH}_{2} \mathrm{CONH}_{2}\right)\) required to be dissolved in \(1000 \mathrm{~g}\) of water in order to reduce the vapour pressure of water by \(25 \%\) is _________ g. (Nearest integer)
Given: Molar mass of N...

If 5 moles of \(\mathrm{BaCl}_{2}\) is mixed with 2 moles of \(\mathrm{Na}_{3} \mathrm{PO}_{4}\), the maximum number of moles of \(\mathrm{Ba}_{3}\left(\mathrm{PO}_{4}\right)_{2}\) formed is ___________ (Nearest integer)

The wavelength of an electron of kinetic energy \(4.50\times10^{-29}\) J is _________ \(\times 10^{-5}\) m. (Nearest integer)
Given : mass of electron is \(9\times10^{-31}\) kg, h \(=6.6\times10^{-34}\) J s

For the adsorption of hydrogen on platinum, the activation energy is \(30 ~\mathrm{k} ~\mathrm{J} \mathrm{mol}^{-1}\) and for the adsorption of hydrogen on nickel, the activation energy is \(41.4 ~\mathrm{k} ~\mathrm{J} \mathrm{mol}^{-1}\)....

Consider the graph of Gibbs free energy G vs Extent of reaction. The number of statement/s from the following which are true with respect to points (a), (b) and (c) is _________

A. Reaction is spontaneous at (a) and (b)
B. Reaction is at e...

The value of \(\log \mathrm{K}\) for the reaction \(\mathrm{A} \rightleftharpoons \mathrm{B}\) at \(298 \mathrm{~K}\) is ___________. (Nearest integer)
Given: \(\Delta \mathrm{H}^{\circ}=-54.07 \mathrm{~kJ} \mathrm{~mol}^{-1}\)
$$\Delta \ma...

If the equation of the plane passing through the line of intersection of the planes \(2 x-y+z=3,4 x-3 y+5 z+9=0\) and parallel to the line \(\frac{x+1}{-2}=\frac{y+3}{4}=\frac{z-2}{5}\) is \(a x+b y+c z+6=0\), then \(a+b+c\) is equal to :

One vertex of a rectangular parallelopiped is at the origin \(\mathrm{O}\) and the lengths of its edges along \(x, y\) and \(z\) axes are \(3,4\) and \(5\) units respectively. Let \(\mathrm{P}\) be the vertex \((3,4,5)\). Then the shortest ...

Let the image of the point \(\mathrm{P}(1,2,3)\) in the plane \(2 x-y+z=9\) be \(\mathrm{Q}\). If the coordinates of the point \(\mathrm{R}\) are \((6,10,7)\), then the square of the area of the triangle \(\mathrm{PQR}\) is _____________.

If the area of the region \(S=\left\{(x, y): 2 y-y^{2} \leq x^{2} \leq 2 y, x \geq y\right\}\) is equal to \(\frac{n+2}{n+1}-\frac{\pi}{n-1}\), then the natural number \(n\) is equal to ___________.

If \({ }^{2 n} C_{3}:{ }^{n} C_{3}=10: 1\), then the ratio \(\left(n^{2}+3 n\right):\left(n^{2}-3 n+4\right)\) is :

If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of \(\left(\sqrt[4]{2}+\frac{1}{\sqrt[4]{3}}\right)^{\mathrm{n}}\) is \(\sqrt{6}: 1\), then the third term from the beginning is :

The coefficient of \(x^{18}\) in the expansion of \(\left(x^{4}-\frac{1}{x^{3}}\right)^{15}\) is __________.

Let the point \((p, p+1)\) lie inside the region \(E=\left\{(x, y): 3-x \leq y \leq \sqrt{9-x^{2}}, 0 \leq x \leq 3\right\}\). If the set of all values of \(\mathrm{p}\) is the interval \((a, b)\), then \(b^{2}+b-a^{2}\) is equal to _______...

A circle passing through the point \(P(\alpha, \beta)\) in the first quadrant touches the two coordinate axes at the points \(A\) and \(B\). The point \(P\) is above the line \(A B\). The point \(Q\) on the line segment \(A B\) is the foot...

Let \(5 f(x)+4 f\left(\frac{1}{x}\right)=\frac{1}{x}+3, x > 0\). Then \(18 \int_\limits{1}^{2} f(x) d x\) is equal to :

Let \(y=y(x)\) be a solution of the differential equation \((x \cos x) d y+(x y \sin x+y \cos x-1) d x=0,0 < x < \frac{\pi}{2}\). If \(\frac{\pi}{3} y\left(\frac{\pi}{3}\right)=\sqrt{3}\), then $$\left|\frac{\pi}{6} y^{\prime \prime}\left(\...

If \(2 x^{y}+3 y^{x}=20\), then \(\frac{d y}{d x}\) at \((2,2)\) is equal to :

From the top \(\mathrm{A}\) of a vertical wall \(\mathrm{AB}\) of height \(30 \mathrm{~m}\), the angles of depression of the top \(\mathrm{P}\) and bottom \(\mathrm{Q}\) of a vertical tower \(\mathrm{PQ}\) are \(15^{\circ}\) and $$60^{\circ...

Let \(I(x)=\int \frac{x^{2}\left(x \sec ^{2} x+\tan x\right)}{(x \tan x+1)^{2}} d x\). If \(I(0)=0\), then \(I\left(\frac{\pi}{4}\right)\) is equal to :

Let \(a_{1}, a_{2}, a_{3}, \ldots, a_{\mathrm{n}}\) be \(\mathrm{n}\) positive consecutive terms of an arithmetic progression. If \(\mathrm{d} > 0\) is its common difference, then
$$\lim_\limits{n \rightarrow \infty} \sqrt{\frac{d}{n}}\left...

Let \(a \in \mathbb{Z}\) and \([\mathrm{t}]\) be the greatest integer \(\leq \mathrm{t}\). Then the number of points, where the function \(f(x)=[a+13 \sin x], x \in(0, \pi)\) is not differentiable, is __________.

Statement \(\mathrm{(P \Rightarrow Q) \wedge(R \Rightarrow Q)}\) is logically equivalent to :

If the system of equations
\(x+y+a z=b\)
\(2 x+5 y+2 z=6\)
\(x+2 y+3 z=3\)
has infinitely many solutions, then \(2 a+3 b\) is equal to :

Let \(\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]_{2 \times 2}\), where \(\mathrm{a}_{\mathrm{ij}} \neq 0\) for all \(\mathrm{i}, \mathrm{j}\) and \(\mathrm{A}^{2}=\mathrm{I}\). Let a be the sum of all diagonal elements of $$\mathrm{A}...

Let the tangent to the curve \(x^{2}+2 x-4 y+9=0\) at the point \(\mathrm{P}(1,3)\) on it meet the \(y\)-axis at \(\mathrm{A}\). Let the line passing through \(\mathrm{P}\) and parallel to the line \(x-3 y=6\) meet the parabola $$y^{2}=4 x$...