JEE Main 2026 (Online) 6th April Morning Shift

Consider the following sequence of reactions

The major product P is :

4.7 g of phenol is heated with Zn to give product X . If this reaction goes to $60 \%$ completion then the number of moles of compound X formed will be
$\_\_\_\_$ $\times 10^{-2}$.(Nearest Integer)
(Given molar mass in $\mathrm{g} \mathrm{m...

Given below are two statements :
Statement I : 2, 6-diethylcyclohexanone and 6-methyl-2-n-propylcyclohexanone are metamers.
Statement II : 2, 2, 6, 6 - tetramethylcyclohexanone exhibits keto-enol tautomerism.
In the light of the above state...

\(\text { Match the List-I with List-II }\)


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\(\text { Match the List-I with List-II }\)


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The pairs among
$\mathrm{A}=\left[\mathrm{SO}_3^{2-}, \mathrm{CO}_3^{2-}\right], \mathrm{B}=\left[\mathrm{O}_2^{2-}, \mathrm{F}_2\right], \mathrm{C}=\left[\mathrm{CN}^{-}, \mathrm{CO}\right], \mathrm{D}=\left[\mathrm{NH}_3, \mathrm{H}_3 \ma...

One mole each of He and $\mathrm{A}(\mathrm{g})$ are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium.
\(\mathrm{A}(\mathrm{~g}) \rightleftharpoons \mathrm{B}(\mathrm{~g})\)
$\mathrm{K}_{\mathrm{c}}$...

Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with $t_{1 / 2}=3$ hour. The percentage of sucrose remaining after 6 hours is
$\_\_\_\_$ . (Nearest integer)
(Given $: \log 2=0.3010$ and $\log 3=0.4771$ ...

Arrange the following compounds according to increasing order of boiling points.
$$ \mathrm{n}-\mathrm{C}_4 \mathrm{H}_9 \mathrm{OH}(\mathrm{~A}), \mathrm{n}-\mathrm{C}_4 \mathrm{H}_9 \mathrm{NH}_2(\mathrm{~B}), \mathrm{n}-\mathrm{C}_4 \mat...

\(\text { Consider the following sequence of reactions. }\)

The percentage of nitrogen in the yellow product $(\mathrm{X})$ formed is $\_\_\_\_$ $\%$.
(Nearest Integer)
(Given Molar mass in $\mathrm{g} \mathrm{mol}^{-1} \mathrm{H}: 1, \m...

Which of the following are true about the energy of the given d-orbitals of a tetrahedral complex?
A. $\mathrm{d}_{x y}=\mathrm{d}_{x z}>\mathrm{d}_{{x^2}-\mathrm{y}^2}$
B. $\mathrm{d}_{x y}=\mathrm{d}_{y z}>\mathrm{d}_{z^2}$
C. $\mathrm{d}...

\(\text { Match the LIST-I with LIST-II }\)


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The correct statements among the following are :
A. Basic vanadium oxide is used in the manufacture of $\mathrm{H}_2 \mathrm{SO}_4$.
B. The spin-only magnetic moment value of the transition metal halide employed in Ziegler-Natta polymerizat...

\(\text { Consider the following data. }\)
$$ \begin{array}{|c|c|} \hline \text { Electrolyte } & \wedge^{\circ}_\mathbf{m}{\mathbf{(}} \mathbf{S ~ c m}^{\mathbf{2}} \mathbf{~ m o l}^{\mathbf{1}} \mathbf{)} \\ \hline \mathrm{BaCl}_2 & x_1...

Given below are two statements :
Statement I : 3-phenylpropene reacts with HBr and gives secondary alkyl bromide having a chiral carbon atom as the major product.
Statement II : Aryl chlorides and aryl cyanides can be prepared by Sandmeyer ...

Given below are two statements :
Statement I : Methane can be prepared by decarboxylation of sodium ethanoate, Kolbe's electrolysis of sodium acetate and reaction of $\mathrm{CH}_3 \mathrm{MgBr}$ with water.
Statement II : Methane cannot be...

Given below are two statements :
Statement I : Aluminium is more electropositive than thallium as the standard electrode potential value of $\mathrm{E}^{\circ} \mathrm{Al}^{3+} / \mathrm{Al}$ is negative and $\mathrm{E}^{\circ} \mathrm{Tl}^...

First and second ionization enthalpies of lithium are $520 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $7297 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. Energy required to convert 3.5 mg lithium (g) into $\mathrm{Li}^{2+}(\mathrm{g})\left[\math...

$\mathrm{R}_{\mathrm{f}}$ value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42 . 2-methylpropene is treated with dilute $\mathrm{H}_2 \mathrm{SO}_4$ to give major organic product $(\mathrm{X})$. $R_f$ value for $(X)...

When 0.25 moles of a non-volatile, non-ionizable solute was dissolved in 1 mole of a solvent the vapor pressure of solution was $x \%$ of vapor pressure of pure solvent. What is $x \%$ ?

An oxide of iron contains $69.9 \%$ iron, its empirical formula, is :
(Given : Molar mass of Fe and O are 56 and $16 \mathrm{~g} \mathrm{~mol}^{-1}$ respectively.)

If shortest wavelength of hydrogen atom in Lyman series is $x$, then longest wavelength in Balmer series of $\mathrm{He}^{+}$is:

\(\text { Match the LIST-I with LIST-II }\)


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Consider the reaction $\mathrm{X} \rightleftharpoons \mathrm{Y}$ at 300 K . If $\Delta \mathrm{H}^\theta$ and K are $28.40 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $1.8 \times 10^{-7}$ at the same temperature, then the magnitude of $\Delta \mat...

Arrange the following isothermal processes in order of the magnitude of the work $(\mathrm{p}-\mathrm{V})$ involved between states 1 and 2.
A. Expansion in single stage $\mathrm{w}_{\mathrm{A}}$
B. Expansion in multi stages $w_B$
C. Compres...

Let the image of the point $\mathrm{P}(1,6, a)$ in the line $\mathrm{L}: \frac{x}{1}=\frac{y-1}{2}=\frac{z-a+1}{b}, b>0$, be $\left(\frac{a}{3}, 0, a+c\right)$. If $\mathrm{S}(\alpha, \beta, \gamma), \alpha>0$, is the point on L such that t...

Let a line L be perpendicular to both the lines $\mathrm{L}_1: \frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7}$ and $\mathrm{L}_2: \frac{x-2}{1}=\frac{y-4}{4}=\frac{z-6}{7}$.
If $\theta$ is the acute angle between the lines L and $\mathrm{L}_3: \...

Let $e$ be the base of natural logarithm and let $f:\{1,2,3,4\} \rightarrow\left\{1, e, e^2, e^3\right\}$ and $\mathrm{g}:\left\{1, e, e^2, e^3\right\} \rightarrow\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}\right\}$ be two bijective fun...

The area of the region $\left\{(x, y): 0 \leq y \leq 6-x, y^2 \geq 4 x-3, x \geq 0\right\}$ is :

If the coefficients of the middle terms in the binomial expansions of $(1+\alpha x)^{26}$ and $(1-\alpha x)^{28}, \alpha \neq 0$, are equal, then the value of $\alpha$ is:

Let the centre of the circle $x^2+y^2+2 \mathrm{~g} x+2 f y+25=0$ be in the first quadrant and lie on the line $2 x-y=4$. Let the area of an equilateral triangle inscribed in the circle be $27 \sqrt{3}$. Then the square of the length of the...

Let the set of all values of $k \in \mathbb{R}$ such that the equation $z(\bar{z}+2+i)+k(2+3 i)=0, z \in \mathrm{C}$, has at least one solution, be the interval $[\alpha, \beta]$. Then $9(\alpha+\beta)$ is equal to:

The value of the integral $\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32 \cos ^4 x}{1+e^{\sin x}}\right) d x$ is :

Let $y=y(x)$ be the solution of the differential equation $\left(x^2-x \sqrt{x^2-1}\right) d y+\left(y\left(x-\sqrt{x^2-1}\right)-x\right) d x=0, x \geq 1$. If $y(1)=1$, then the greatest integer less than $y(\sqrt{5})$ is $\_\_\_\_$ .

Let [ • ] denote the greatest integer function. If the domain of the function $f(x)=\sin ^{-1}\left(\frac{x+[x]}{3}\right)$ is $[\alpha, \beta)$, then $\alpha^2+\beta^2$ is equal to:

If the eccentricity $e$ of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, passing through $(6,4 \sqrt{3})$, satisfies $15\left(e^2+1\right)=34 e$, then the length of the latus rectum of the hyperbola $\frac{x^2}{b^2}-\frac{y^2}{2\left(a...

Let $e_1$ and $e_2$ be two distinct roots of the equation $x^2-a x+2=0$. Let the sets $\left\{a \in \mathbb{R}: e_1\right.$ and $e_2$ are the eccentricities of hyperbolas $\}=(\alpha, \beta)$, and $\left\{a \in \mathbb{R}: e_1\right.$ and $...

Let $0<\alpha<1, \beta=\frac{1}{3 \alpha}$ and $\tan ^{-1}(1-\alpha)+\tan ^{-1}(1-\beta)=\frac{\pi}{4}$. Then $6(\alpha+\beta)$ is equal to:

\(\text { The value of } \lim\limits_{x \rightarrow 0}\left(\frac{x^2 \sin ^2 x}{x^2-\sin ^2 x}\right) \text { is : }\)

Let $A=\left[\begin{array}{ccc}-1 & 1 & -1 \\ 1 & 0 & 1 \\ 0 & 0 & 1\end{array}\right]$ satisfy
$\mathrm{A}^2+\alpha(\operatorname{adj}(\operatorname{adj}(\mathrm{A})))+\beta(\operatorname{adj}(\mathrm{A})(\operatorname{adj}(\operatorname{a...

Let chord PQ of length $3 \sqrt{13}$ of the parabola $y^2=12 x$ be such that the ordinates of points P and Q are in the ratio 1:2. If the chord PQ subtends an angle $\alpha$ at the focus of the parabola, then $\sin \alpha$ is equal to :

Let one root of the quadratic equation in $x$ :
\(\left(k^2-15 k+27\right) x^2+9(k-1) x+18=0\)
be twice the other. Then the length of the latus rectum of the parabola $y^2=6 k x$ is equal to:

The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word INCONSEQUENTIAL, without repeating any letter, is:

A bag contains $(\mathrm{N}+1)$ coins -N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tossed. If the probability of getting 'Head' is $\frac{9}{16}$, then N is equal to:

The value of $1^3-2^3+3^3-\ldots+15^3$ is:

For the functions $f(\theta)=\alpha \tan ^2 \theta+\beta \cot ^2 \theta$, and $g(\theta)=\alpha \sin ^2 \theta+\beta \cos ^2 \theta, \alpha>\beta>0$, let $\min\limits_{0<\theta<\frac{\pi}{2}} f(\theta)=\max\limits_{0<\theta<\pi} g(\theta)$....

The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8 . If the first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to common difference of the ...

A data consists of 20 observations $x_1, x_2, \ldots, x_{20}$. If $\sum\limits_{i=1}^{20}\left(x_i+5\right)^2=2500$ and $\sum\limits_{i=1}^{20}\left(x_i-5\right)^2=100$, then the ratio of mean to standard deviation of this data is :

Let $S=\{\theta \in(-2 \pi, 2 \pi): \cos \theta+1=\sqrt{3} \sin \theta\}$.
Then $\sum\limits_{\theta \in \mathrm{S}} \theta$ is equal to :

If $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{j}-\hat{k}$ and $\vec{c}$ be three vectors such that $\vec{a} \times \vec{c}=\vec{b}$ and $\vec{a} \cdot \vec{c}=3$, then $\vec{c} \cdot(\vec{a}-2 \vec{b})$ is equal to $\_\_\_\_$ .