JEE Main 2022 (Online) 27th July Evening Shift

The structure of A in the given reaction is :

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The spin only magnetic moment of the complex present in Fehling's reagent is __________ B.M. (Nearest integer).

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The number of molecule(s) or ion(s) from the following having non-planar structure is ____________.
$$\mathrm{NO}_{3}^{-}, \mathrm{H}_{2} \mathrm{O}_{2}, \mathrm{BF}_{3}, \mathrm{PCl}_{3}, \mathrm{XeF}_{4}, \mathrm{SF}_{4}, \mathrm{XeO}_{3}...

\(\matrix{ {[A]} & \to & {[B]} \cr {{\mathop{\rm Reactant}\nolimits} } & {} & {{\mathop{\rm Product}\nolimits} } \cr }\)
If formation of compound \([\mathrm{B}]\) follows the first order of kinetics and after 70 minutes the c...

Which of the following enhances the lathering property of soap?

An organic compound \('\mathrm{A}'\) contains nitrogen and chlorine. It dissolves readily in water to give a solution that turns litmus red. Titration of compound \('\mathrm{A}'\) with standard base indicates that the molecular weight of $$...

Low oxidation state of metals in their complexes are common when ligands :

\(\mathrm{Fe}^{3+}\) cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of :

In neutral or alkaline solution, \(\mathrm{MnO}_{4}^{-}\) oxidises thiosulphate to :

Given below are two statements :
Statement I : For KI, molar conductivity increases steeply with dilution
Statement II : For carbonic acid, molar conductivity increases slowly with dilution
In the light of the above statements, choose the c...

Given below are two statements:
Statement I : The non bio-degradable fly ash and slag from steel industry can be used by cement industry.
Statement II : The fuel obtained from plastic waste is lead free.
In the light of the above statements...

For a real gas at \(25^{\circ} \mathrm{C}\) temperature and high pressure (99 bar) the value of compressibility factor is 2, so the value of Vander Waal's constant 'b' should be __________ \(\times 10^{-2} \mathrm{~L} \mathrm{~mol}^{-1}\) (...

Major product '\(\mathrm{B}\)' of the following reaction sequence is :

The oxidation state of manganese in the product obtained in a reaction of potassium permanganate and hydrogen peroxide in basic medium is ____________.

The plot of \(\mathrm{pH}\)-metric titration of weak base \(\mathrm{NH}_{4} \mathrm{OH}\) vs strong acid HCl looks like :

Among the following ores Bauxite, Siderite, Cuprite, Calamine, Haematite, Kaolinite, Malachite, Magnetite, Sphalerite, Limonite, Cryolite, the number of principal ores if iron is _____________.

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Boron is unable to form \(\mathrm{BF}_{6}^{3-}\).
Reason (R) : Size of B is very small.
In the light of the above sta...

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In the above reaction, \(5 \mathrm{~g}\) of toluene is converted into benzaldehyde with \(92 \%\) yield. The amount of benzaldehyde produced is ______________ \(\times 10^{-2} \mathrm{~g}\). (Nearest integer)

The normality of \(\mathrm{H}_{2} \mathrm{SO}_{4}\) in the solution obtained on mixing \(100 \mathrm{~mL}\) of \(0.1 \,\mathrm{M} \,\mathrm{H}_{2} \mathrm{SO}_{4}\) with \(50 \mathrm{~mL}\) of \(0.1 \,\mathrm{M}\, \mathrm{NaOH}\) is _______...

An element A of group 1 shows similarity to an element B belonging to group 2. If A has maximum hydration enthalpy in group 1 then B is :

When a certain amount of solid A is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\) to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of p...

The correct decreasing order of energy for the orbitals having, following set of quantum numbers :
(A) n = 3, l = 0, m = 0
(B) n = 4, l = 0, m = 0
(C) n = 3, l = 1, m = 0
(D) n = 3, l = 2, m = 1
is :

Outermost electronic configurations of four elements A, B, C, D are given below :
(A) \(3 s^{2}\)
(B) \(3 s^{2} 3 p^{1}\)
(C) \(3 s^{2} 3 p^{3}\)
(D) \(3 s^{2} 3 p^{4}\)
The correct order of first ionization enthalpy for them is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Dissolved substances can be removed from a colloidal solution by diffusion through a parchment paper.
Reason (R) : Pa...

A gas (Molar mass = 280 \(\mathrm{~g} \mathrm{~mol}^{-1}\)) was burnt in excess \(\mathrm{O}_{2}\) in a constant volume calorimeter and during combustion the temperature of calorimeter increased from \(298.0 \mathrm{~K}\) to \(298.45\) $$\m...

If the length of the perpendicular drawn from the point \(P(a, 4,2)\), a \(>0\) on the line \(\frac{x+1}{2}=\frac{y-3}{3}=\frac{z-1}{-1}\) is \(2 \sqrt{6}\) units and \(Q\left(\alpha_{1}, \alpha_{2}, \alpha_{3}\right)\) is the image of the ...

If the line of intersection of the planes \(a x+b y=3\) and \(a x+b y+c z=0\), a \(>0\) makes an angle \(30^{\circ}\) with the plane \(y-z+2=0\), then the direction cosines of the line are :

A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semi-vertical angle is \(\tan ^{-1} \frac{3}{4}\). Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square mete...

The area of the region enclosed by \(y \leq 4 x^{2}, x^{2} \leq 9 y\) and \(y \leq 4\), is equal to :

Consider a curve \(y=y(x)\) in the first quadrant as shown in the figure. Let the area \(\mathrm{A}_{1}\) is twice the area \(\mathrm{A}_{2}\). Then the normal to the curve perpendicular to the line \(2 x-12 y=15\) does NOT pass through the...

Let for the \(9^{\text {th }}\) term in the binomial expansion of \((3+6 x)^{\mathrm{n}}\), in the increasing powers of \(6 x\), to be the greatest for \(x=\frac{3}{2}\), the least value of \(\mathrm{n}\) is \(\mathrm{n}_{0}\). If $$\mathrm...

A circle \(C_{1}\) passes through the origin \(\mathrm{O}\) and has diameter 4 on the positive \(x\)-axis. The line \(y=2 x\) gives a chord \(\mathrm{OA}\) of circle \(\mathrm{C}_{1}\). Let \(\mathrm{C}_{2}\) be the circle with $$\mathrm{OA...

Let S be the set of all \((\alpha, \beta), \pi<\alpha, \beta<2 \pi\), for which the complex number \(\frac{1-i \sin \alpha}{1+2 i \sin \alpha}\) is purely imaginary and \(\frac{1+i \cos \beta}{1-2 i \cos \beta}\) is purely real. Let $$Z_{\a...

Let \(f(x)=2+|x|-|x-1|+|x+1|, x \in \mathbf{R}\).
Consider
\((\mathrm{S} 1): f^{\prime}\left(-\frac{3}{2}\right)+f^{\prime}\left(-\frac{1}{2}\right)+f^{\prime}\left(\frac{1}{2}\right)+f^{\prime}\left(\frac{3}{2}\right)=2\)
$$(\mathrm{S} 2):...

\(\int\limits_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) \mathrm{d} x\), where [t] is the greatest integer function, is equal to :

Let \(f(x)=\min \{[x-1],[x-2], \ldots,[x-10]\}\) where [t] denotes the greatest integer \(\leq \mathrm{t}\). Then $$\int\limits_{0}^{10} f(x) \mathrm{d} x+\int\limits_{0}^{10}(f(x))^{2} \mathrm{~d} x+\int\limits_{0}^{10}|f(x)| \mathrm{d} x$...

Let f be a differentiable function satisfying \(f(x)=\frac{2}{\sqrt{3}} \int\limits_{0}^{\sqrt{3}} f\left(\frac{\lambda^{2} x}{3}\right) \mathrm{d} \lambda, x>0\) and \(f(1)=\sqrt{3}\). If \(y=f(x)\) passes through the point \((\alpha, 6)\)...

For the curve \(C:\left(x^{2}+y^{2}-3\right)+\left(x^{2}-y^{2}-1\right)^{5}=0\), the value of \(3 y^{\prime}-y^{3} y^{\prime \prime}\), at the point \((\alpha, \alpha)\), \(\alpha>0\), on C, is equal to ____________.

The number of functions \(f\), from the set \(\mathrm{A}=\left\{x \in \mathbf{N}: x^{2}-10 x+9 \leq 0\right\}\) to the set \(\mathrm{B}=\left\{\mathrm{n}^{2}: \mathrm{n} \in \mathbf{N}\right\}\) such that \(f(x) \leq(x-3)^{2}+1\), for every...

The angle of elevation of the top P of a vertical tower PQ of height 10 from a point A on the horizontal ground is \(45^{\circ}\). Let R be a point on AQ and from a point B, vertically above \(\mathrm{R}\), the angle of elevation of $$\math...

A common tangent \(\mathrm{T}\) to the curves \(\mathrm{C}_{1}: \frac{x^{2}}{4}+\frac{y^{2}}{9}=1\) and \(C_{2}: \frac{x^{2}}{42}-\frac{y^{2}}{143}=1\) does not pass through the fourth quadrant. If \(\mathrm{T}\) touches \(\mathrm{C}_{1}\) ...

The domain of the function \(f(x)=\sin ^{-1}\left[2 x^{2}-3\right]+\log _{2}\left(\log _{\frac{1}{2}}\left(x^{2}-5 x+5\right)\right)\), where [t] is the greatest integer function, is :

If for \(\mathrm{p} \neq \mathrm{q} \neq 0\), the function \(f(x)=\frac{\sqrt[7]{\mathrm{p}(729+x)}-3}{\sqrt[3]{729+\mathrm{q} x}-9}\) is continuous at \(x=0\), then :

If the truth value of the statement \((P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q)\) is F, then the truth value of which of the following is \(\mathrm{F}\) ?

Let $$A=\left(\begin{array}{rr}4 & -2 \\ \alpha & \beta\end{array}\right)$$.
If \(\mathrm{A}^{2}+\gamma \mathrm{A}+18 \mathrm{I}=\mathrm{O}\), then \(\operatorname{det}(\mathrm{A})\) is equal to _____________.