JEE Main 2023 (Online) 11th April Evening Shift

Compound 'B' is

Product [X] formed in the above reaction is :

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : A solution of the product obtained by heating a mole of glycine with a mole of chlorine in presence of red phosphorous gener...

Number of compounds from the following which will not produce orange red precipitate with Benedict solution is ___________.
Glucose, maltose, sucrose, ribose, 2-deoxyribose, amylose, lactose

The maximum number of lone pairs of electrons on the central atom from the following species is ____________.
\(\mathrm{ClO}_{3}{ }^{-}, \mathrm{XeF}_{4}, \mathrm{SF}_{4}\) and \(\mathrm{I}_{3}{ }^{-}\)

4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of \(\mathrm{HI}\) were found. The equilibrium constant for $$\mathrm{H}_{2}(\mathrm{~g})+\mathrm{I}_{2}(\mathrm{~g}) \rightleftharpoons 2...

For a chemical reaction \(\mathrm{A}+\mathrm{B} \rightarrow\) Product, the order is 1 with respect to \(\mathrm{A}\) and \(\mathrm{B}\).

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Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : \(\left[\mathrm{CoCl}\left(\mathrm{NH}_{3}\right)_{5}\right]^{2+}\) absorbs at lower wavelength of light with respect to $$\...

If \(\mathrm{Ni}^{2+}\) is replaced by \(\mathrm{Pt}^{2+}\) in the complex \(\left[\mathrm{NiCl}_{2} \mathrm{Br}_{2}\right]^{2-}\), which of the following properties are expected to get changed ?
A. Geometry
B. Geometrical isomerism
C. Opti...

Match List I with List II

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The magnetic moment is measured in Bohr Magneton (BM).
Spin only magnetic moment of \(\mathrm{Fe}\) in \(\left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+}\) and \(\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) comple...

The number of correct statements from the following is __________
A. \(\mathrm{E_{\text {cell }}}\) is an intensive parameter
B. A negative \(\mathrm{E}^{\ominus}\) means that the redox couple is a stronger reducing agent than the $$\mathrm...

Which of the following compounds is an example of Freon?

Compound from the following that will not produce precipitate on reaction with \(\mathrm{AgNO}_{3}\) is :

The major product formed in the following reaction is

Choose the correct answer from the options given below :

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.

In the light of the above statements, choose the correct answer from the options given below:

The number of possible isomeric products formed when 3-chloro-1-butene reacts with \(\mathrm{HCl}\) through carbocation formation is __________.

Which hydride among the following is less stable?

Given below are two statements :
Statement I : In the metallurgy process, sulphide ore is converted to oxide before reduction.
Statement II : Oxide ores in general are easier to reduce.
In the light of the above statements, choose the most ...

Which one of the following pairs is an example of polar molecular solids?

One mole of \(\mathrm{P}_{4}\) reacts with 8 moles of \(\mathrm{SOCl}_{2}\) to give 4 moles of \(\mathrm{A}, x\) mole of \(\mathrm{SO}_{2}\) and 2 moles of \(\mathrm{B} . \mathrm{A}, \mathrm{B}\) and \(x\) respectively are :

Given below are two statements :
Statement I : Ethene at 333 to \(343 \mathrm{~K}\) and \(6\)-\(7\) atm pressure in the presence of \(\mathrm{AlEt}_{3}\) and \(\mathrm{TiCl}_{4}\) undergoes addition polymerization to give LDP.
Statement II ...

Alkali metal from the following with least melting point is :

\(\mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2} \cdot \mathrm{XH}_{2} \mathrm{O}\) and \(\mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \cdot \mathrm{YH}_{2} \mathrm{O}\), represent formula of the crystalline forms of nitrate salts. Sum of $$\ma...

What weight of glucose must be dissolved in \(100 \mathrm{~g}\) of water to lower the vapour pressure by \(0.20 \mathrm{~mm} ~\mathrm{Hg}\) ?
(Assume dilute solution is being formed)
Given : Vapour pressure of pure water is $$54.2 \mathrm{~...

A solution is prepared by adding \(2 \mathrm{~g}\) of "\(\mathrm{X}\)" to 1 mole of water. Mass percent of "\(\mathrm{X}\)" in the solution is :

The volume of hydrogen liberated at STP by treating \(2.4 \mathrm{~g}\) of magnesium with excess of hydrochloric acid is _________ \(\times ~10^{-2} \mathrm{~L}\)
Given : Molar volume of gas is \(22.4 \mathrm{~L}\) at STP.
Molar mass of mag...

The number of correct statements from the following is ___________.
A. For \(1 \mathrm{s}\) orbital, the probability density is maximum at the nucleus
B. For \(2 \mathrm{s}\) orbital, the probability density first increases to maximum and t...

The number of correct statements about modern adsorption theory of heterogeneous catalysis from the following is __________
A. The catalyst is diffused over the surface of reactants.
B. Reactants are adsorbed on the surface of the catalyst....

The total number of intensive properties from the following is __________ Volume, Molar heat capacity, Molarity, \(\mathrm{E}^{\theta}\) cell, Gibbs free energy change, Molar mass, Mole

Let the line passing through the points \(\mathrm{P}(2,-1,2)\) and \(\mathrm{Q}(5,3,4)\) meet the plane \(x-y+z=4\) at the point \(\mathrm{R}\). Then the distance of the point \(\mathrm{R}\) from the plane \(x+2 y+3 z+2=0\) measured paralle...

Let P be the plane passing through the points \((5,3,0),(13,3,-2)\) and \((1,6,2)\).

For \(\alpha \in \mathbb{N}\), if the distances of the points \(\mathrm{A}(3,4, \alpha)\) and \(\mathrm{B}(2, \alpha, a)\) from the plane P are 2 and 3 re...

Let the line \(l: x=\frac{1-y}{-2}=\frac{z-3}{\lambda}, \lambda \in \mathbb{R}\) meet the plane \(P: x+2 y+3 z=4\) at the point \((\alpha, \beta, \gamma)\). If the angle between the line \(l\) and the plane \(P\) is $$\cos ^{-1}\left(\sqrt{...

If A is the area in the first quadrant enclosed by the curve \(\mathrm{C: 2 x^{2}-y+1=0}\), the tangent to \(\mathrm{C}\) at the point \((1,3)\) and the line \(\mathrm{x}+\mathrm{y}=1\), then the value of \(60 \mathrm{~A}\) is _________.

The sum of the coefficients of three consecutive terms in the binomial expansion of \((1+\mathrm{x})^{\mathrm{n}+2}\), which are in the ratio \(1: 3: 5\), is equal to :

If the \(1011^{\text {th }}\) term from the end in the binominal expansion of \(\left(\frac{4 x}{5}-\frac{5}{2 x}\right)^{2022}\) is 1024 times \(1011^{\text {th }}\)R term from the beginning, then \(|x|\) is equal to

For \(a \in \mathbb{C}\), let \(\mathrm{A}=\{z \in \mathbb{C}: \operatorname{Re}(a+\bar{z}) > \operatorname{Im}(\bar{a}+z)\}\) and \(\mathrm{B}=\{z \in \mathbb{C}: \operatorname{Re}(a+\bar{z})<\operatorname{Im}(\bar{a}+z)\}\). Then among th...

Let \(\mathrm{S}=\left\{z \in \mathbb{C}-\{i, 2 i\}: \frac{z^{2}+8 i z-15}{z^{2}-3 i z-2} \in \mathbb{R}\right\}\). If \(\alpha-\frac{13}{11} i \in \mathrm{S}, \alpha \in \mathbb{R}-\{0\}\), then

\(242 \alpha^{2}\) is equal to _________.

If \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a continuous function satisfying \(\int_\limits{0}^{\frac{\pi}{2}} f(\sin 2 x) \sin x d x+\alpha \int_\limits{0}^{\frac{\pi}{4}} f(\cos 2 x) \cos x d x=0\), then the value of \(\alpha\) is :

Let the function \(f:[0,2] \rightarrow \mathbb{R}\) be defined as
$$f(x)= \begin{cases}e^{\min \left\{x^{2}, x-[x]\right\},} & x \in[0,1) \\ e^{\left[x-\log _{e} x\right]}, & x \in[1,2]\end{cases}$$
where \([t]\) denotes the greatest intege...

Let \(y=y(x)\) be the solution of the differential equation \(\frac{d y}{d x}+\frac{5}{x\left(x^{5}+1\right)} y=\frac{\left(x^{5}+1\right)^{2}}{x^{7}}, x > 0\). If \(y(1)=2\), then \(y(2)\) is equal to :

If the radius of the largest circle with centre (2,0) inscribed in the ellipse \(x^2+4y^2=36\) is r, then 12r\(^2\) is equal to :

The domain of the function \(f(x)=\frac{1}{\sqrt{[x]^{2}-3[x]-10}}\) is : ( where \([\mathrm{x}]\) denotes the greatest integer less than or equal to \(x\) )

Let \(\mathrm{A}=\{1,2,3,4,5\}\) and \(\mathrm{B}=\{1,2,3,4,5,6\}\). Then the number of functions \(f: \mathrm{A} \rightarrow \mathrm{B}\) satisfying \(f(1)+f(2)=f(4)-1\) is equal to __________.

The angle of elevation of the top \(\mathrm{P}\) of a tower from the feet of one person standing due South of the tower is \(45^{\circ}\) and from the feet of another person standing due west of the tower is \(30^{\circ}\). If the height of...

Let \(f\) and \(g\) be two functions defined by
$$f(x)=\left\{\begin{array}{cc}x+1, & x < 0 \\ |x-1|, & x \geq 0\end{array}\right.$$ and $$\mathrm{g}(x)=\left\{\begin{array}{cc}x+1, & x < 0 \\ 1, & x \geq 0\end{array}\right.$$
Then $$(g \ci...

The converse of \(((\sim p) \wedge q) \Rightarrow r\) is

If the system of linear equations
$$ \begin{aligned} & 7 x+11 y+\alpha z=13 \\\\ & 5 x+4 y+7 z=\beta \\\\ & 175 x+194 y+57 z=361 \end{aligned} $$
has infinitely many solutions, then \(\alpha+\beta+2\) is equal to :

$$\left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^{2}\end{array}\right|=\frac{9}{8}(103 x+81)$$, then \(\lambda, \frac{\lambda}{3}\) are the roots of the equation :

Let the tangent to the parabola \(\mathrm{y}^{2}=12 \mathrm{x}\) at the point \((3, \alpha)\) be perpendicular to the line \(2 x+2 y=3\). Then the square of distance of the point \((6,-4)\) from the normal to the hyperbola $$\alpha^{2} x^{2...