JEE Main 2024 (Online) 6th April Evening Shift

The major products formed :

A and B respectively are :

Consider the given reaction, identify the major product P.

The incorrect statement regarding the geometrical isomers of 2-butene is :

Number of carbocations from the following that are not stabilized by hyperconjugation is _______.

The correct arrangement for decreasing order of electrophilic substitution for above compounds is :

The incorrect statements regarding enzymes are :
(A) Enzymes are biocatalysts.
(B) Enzymes are non-specific and can catalyse different kinds of reactions.
(C) Most Enzymes are globular proteins.
(D) Enzyme - oxidase catalyses the hydrolysis...

Total number of species from the following with central atom utilising \(\mathrm{sp}^2\) hybrid orbitals for bonding is ________. $$\mathrm{NH}_3, \mathrm{SO}_2, \mathrm{SiO}_2, \mathrm{BeCl}_2, \mathrm{C}_2 \mathrm{H}_2, \mathrm{C}_2 \math...

Consider the following reactions

The number of protons that do not involve in hydrogen bonding in the product B is _________.

The ratio \(\frac{K_P}{K_C}\) for the reaction :
\(\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \rightleftharpoons \mathrm{CO}_{2(\mathrm{~g})}\) is :

Consider the two different first order reactions given below
$$\begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \text { (Reaction 1) } \\ & \mathrm{P} \rightarrow \mathrm{Q} \text { (Reaction 2) } \end{aligned}$$
The ratio of ...

An amine \((\mathrm{X})\) is prepared by ammonolysis of benzyl chloride. On adding p-toluenesulphonyl chloride to it the solution remains clear. Molar mass of the amine \((\mathrm{X})\) formed is _________ \(\mathrm{g} \mathrm{mol}^{-1}\).
...

Identify the product A in the following reaction.

Given below are two statements :
Statement I : \(\mathrm{PF}_5\) and \(\mathrm{BrF}_5\) both exhibit \(\mathrm{sp}^3 \mathrm{~d}\) hybridisation.
Statement II : Both \(\mathrm{SF}_6\) and \([\mathrm{Co}(\mathrm{NH}_3)_6]^{3+}\) exhibit $$\m...

Match List I with List II.

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The correct IUPAC name of \([\mathrm{PtBr}_2(\mathrm{PMe}_3)_2]\) is :

Arrange the following elements in the increasing order of number of unpaired electrons in it.
(A) \(\mathrm{Sc}\)
(B) \(\mathrm{Cr}\)
(C) \(\mathrm{V}\)
(D) \(\mathrm{Ti}\)
(E) \(\mathrm{Mn}\)
Choose the correct answer from the options give...

Among \(\mathrm{VO}_2^{+}, \mathrm{MnO}_4^{-}\) and \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}\), the spin-only magnetic moment value of the species with least oxidising ability is __________ BM (Nearest integer).
(Given atomic member $$\mathrm{V}=2...

How can an electrochemical cell be converted into an electrolytic cell ?

The ratio of number of oxygen atoms to bromine atoms in the product Q is _________ \(\times 10^{-1}\).

Consider the above chemical reaction. Product "A" is :

Evaluate the following statements related to group 14 elements for their correctness.
(A) Covalent radius decreases down the group from \(\mathrm{C}\) to \(\mathrm{Pb}\) in a regular manner.
(B) Electronegativity decreases from $$\mathrm{C}...

The correct statement among the following, for a "chromatography" purification method is :

The number of ions from the following that are expected to behave as oxidising agent is :
\(\mathrm{Sn}^{4+}, \mathrm{Sn}^{2+}, \mathrm{Pb}^{2+}, \mathrm{Tl}^{3+}, \mathrm{Pb}^{4+}, \mathrm{Tl}^{+}\)

Match List I with List II.

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Match List I with List II.

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overflow:hidden;padding:10px 5px;word-break:normal;}...

During the detection of acidic radical present in a salt, a student gets a pale yellow precipitate soluble with difficulty in \(\mathrm{NH}_4 \mathrm{OH}\) solution when sodium carbonate extract was first acidified with dil. $$\mathrm{HNO}_...

When '\(x\)' \(\times 10^{-2} \mathrm{~mL}\) methanol (molar mass \(=32 \mathrm{~g}\)' density \(=0.792 \mathrm{~g} / \mathrm{cm}^3\)) is added to \(100 \mathrm{~mL}\). water (density \(=1 \mathrm{~g} / \mathrm{cm}^3\)), the following diagr...

Molality \((\mathrm{m})\) of \(3 \mathrm{M}\) aqueous solution of \(\mathrm{NaCl}\) is :
(Given : Density of solution \(=1.25 \mathrm{~g} \mathrm{~mL}^{-1}\), Molar mass in \(\mathrm{g} \mathrm{~mol}^{-1}: \mathrm{Na}-23, \mathrm{Cl}-35.5\)...

For hydrogen atom, energy of an electron in first excited state is \(-3.4 \mathrm{~eV}, \mathrm{K} . \mathrm{E}\). of the same electron of hydrogen atom is \(x \mathrm{~eV}\). Value of \(x\) is _________ \(\times 10^{-1} \mathrm{~eV}\). (Ne...

For the reaction at \(298 \mathrm{~K}, 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}, \Delta \mathrm{H}=400 \mathrm{~kJ} \mathrm{~mol}^{-1}\) and \(\Delta S=0.2 \mathrm{~kJ} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\). The reaction will become ...

Let \(\mathrm{P}(\alpha, \beta, \gamma)\) be the image of the point \(\mathrm{Q}(3,-3,1)\) in the line \(\frac{x-0}{1}=\frac{y-3}{1}=\frac{z-1}{-1}\) and \(\mathrm{R}\) be the point \((2,5,-1)\). If the area of the triangle \(\mathrm{PQR}\)...

If the shortest distance between the lines \(\frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1}\) and \(\frac{x+2}{-3}=\frac{y+5}{2}=\frac{z-4}{4}\) is \(\frac{44}{\sqrt{30}}\), then the largest possible value of \(|\lambda|\) is equal to ___...

If the area of the region \(\left\{(x, y): \frac{\mathrm{a}}{x^2} \leq y \leq \frac{1}{x}, 1 \leq x \leq 2,0<\mathrm{a}<1\right\}\) is \(\left(\log _{\mathrm{e}} 2\right)-\frac{1}{7}\) then the value of \(7 \mathrm{a}-3\) is equal to :

If \(\mathrm{P}(6,1)\) be the orthocentre of the triangle whose vertices are \(\mathrm{A}(5,-2), \mathrm{B}(8,3)\) and \(\mathrm{C}(\mathrm{h}, \mathrm{k})\), then the point \(\mathrm{C}\) lies on the circle :

If \(z_1, z_2\) are two distinct complex number such that \(\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=2\), then

Let \([t]\) denote the largest integer less than or equal to \(t\). If \(\int_\limits0^3\left(\left[x^2\right]+\left[\frac{x^2}{2}\right]\right) \mathrm{d} x=\mathrm{a}+\mathrm{b} \sqrt{2}-\sqrt{3}-\sqrt{5}+\mathrm{c} \sqrt{6}-\sqrt{7}\), w...

Suppose the solution of the differential equation \(\frac{d y}{d x}=\frac{(2+\alpha) x-\beta y+2}{\beta x-2 \alpha y-(\beta \gamma-4 \alpha)}\) represents a circle passing through origin. Then the radius of this circle is :

If the solution \(y(x)\) of the given differential equation \(\left(e^y+1\right) \cos x \mathrm{~d} x+\mathrm{e}^y \sin x \mathrm{~d} y=0\) passes through the point \(\left(\frac{\pi}{2}, 0\right)\), then the value of $$e^{y\left(\frac{\pi}...

Suppose for a differentiable function \(h, h(0)=0, h(1)=1\) and \(h^{\prime}(0)=h^{\prime}(1)=2\). If \(g(x)=h\left(\mathrm{e}^x\right) \mathrm{e}^{h(x)}\), then \(g^{\prime}(0)\) is equal to:

If the function \(f(x)=\left(\frac{1}{x}\right)^{2 x} ; x>0\) attains the maximum value at \(x=\frac{1}{\mathrm{e}}\) then :

Let \(f(x)=\frac{1}{7-\sin 5 x}\) be a function defined on \(\mathbf{R}\). Then the range of the function \(f(x)\) is equal to :

The length of the latus rectum and directrices of hyperbola with eccentricity e are 9 and \(x= \pm \frac{4}{\sqrt{3}}\), respectively. Let the line \(y-\sqrt{3} x+\sqrt{3}=0\) touch this hyperbola at \(\left(x_0, y_0\right)\). If $$\mathrm{...

If \(\int \frac{1}{\mathrm{a}^2 \sin ^2 x+\mathrm{b}^2 \cos ^2 x} \mathrm{~d} x=\frac{1}{12} \tan ^{-1}(3 \tan x)+\) constant, then the maximum value of \(\mathrm{a} \sin x+\mathrm{b} \cos x\), is :

\(\lim _\limits{n \rightarrow \infty} \frac{\left(1^2-1\right)(n-1)+\left(2^2-2\right)(n-2)+\cdots+\left((n-1)^2-(n-1)\right) \cdot 1}{\left(1^3+2^3+\cdots \cdots+n^3\right)-\left(1^2+2^2+\cdots \cdots+n^2\right)}\) is equal to :

Let \([t]\) denote the greatest integer less than or equal to \(t\). Let \(f:[0, \infty) \rightarrow \mathbf{R}\) be a function defined by \(f(x)=\left[\frac{x}{2}+3\right]-[\sqrt{x}]\). Let \(\mathrm{S}\) be the set of all points in the in...

If \(A\) is a square matrix of order 3 such that \(\operatorname{det}(A)=3\) and $$\operatorname{det}\left(\operatorname{adj}\left(-4 \operatorname{adj}\left(-3 \operatorname{adj}\left(3 \operatorname{adj}\left((2 \mathrm{~A})^{-1}\right)\r...

If the system of equations
$$\begin{aligned} & 2 x+7 y+\lambda z=3 \\ & 3 x+2 y+5 z=4 \\ & x+\mu y+32 z=-1 \end{aligned}$$
has infinitely many solutions, then \((\lambda-\mu)\) is equal to ______ :

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at \(315^{\text {th }}\) position in this arrangement is :

Let \(0 \leq r \leq n\). If \({ }^{n+1} C_{r+1}:{ }^n C_r:{ }^{n-1} C_{r-1}=55: 35: 21\), then \(2 n+5 r\) is equal to :

If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is :