JEE Main 2026 (Online) 5th April Morning Shift

Consider compounds $\mathrm{A}, \mathrm{B}$ and C with following structural formulae
$$ \begin{aligned} & \mathrm{A}=\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{OH} \\ & \mathrm{~B}=\mathrm{CH}_2=\mathrm{CH...

One mole of phenol is treated with dilute $\mathrm{HNO}_3$ at 298 K to give a mixture of products. The mixture is separated by steam distillation. The steam volatile compound $(\mathrm{X})$ is separated. The increase in percentage of oxygen...

Given below are two statements :
Statement I : On the basis of inductive effect, the order of stability of alkyl carbanions is $\mathrm{CH}_3{ }^{-}>\mathrm{CH}_3-\mathrm{CH}_2{ }^{-}>\left(\mathrm{CH}_3\right)_2 \mathrm{CH}^{-}>\left(\math...

Identify the correct statements.
A. Glucose exists in two anomeric forms.
B. Anomers of glucose differ in configuration at $\mathrm{C}-1$ in cyclic hemiacetal structure.
C. Melting point of $\alpha$ - anomer of glucose is greater than $\bet...

Consider the following species:
\(\mathrm{BrF}_5, \mathrm{XeF}_5^{-}, \mathrm{BF}_4^{-}, \mathrm{ICl}_4^{-}, \mathrm{XeF}_4, \mathrm{SF}_4, \mathrm{NH}_4^{+}, \mathrm{ClF}_3, \mathrm{XeF}_2, \mathrm{ICl}_2^{-}\)
Number of species having $...

The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below $\mathrm{A}(\mathrm{g}) \rightleftharpoons \mathrm{B}(\mathrm{g})+\mathrm{C}(\mathrm{g})$
$$ \begin{...

If the half life of a first order reaction is 6.93 minutes then the time required for completion of $99 \%$ of the reaction will be $\_\_\_\_$ minutes.
(Given $: \log 2=0.3010$ )

First order gas phase reaction
\(\mathrm{A} \rightarrow \mathrm{~B}+\mathrm{C}\)
$p_t=$ initial pressure of gas $\mathrm{A}, p_t=$ total pressure of the reaction mixture at time $t$
Expression of rate constant ( $k$ ) is

\(\text {Identify the incorrect statements. }\)

Choose the correct answer from the options given below:

\(\text {Benzyl isocyanide can be obtained from }\)

Choose the correct answer from the options given below :

The correct statements about metal carbonyls are
A. The metal-carbon bonds in metal carbonyls possess both $\sigma$ and $\pi$ character.
B. Due to synergic bonding interactions between metal and CO ligand, the metal-carbon bond becomes weak...

Given below are two statements:
Statement I: Each electron in $\mathrm{e}_{\mathrm{g}}$ orbitals destabilizes the orbitals by $+0.6 \Delta_{\mathrm{o}}$ and each electron in the $t_{2 g}$ orbitals stabilizes the orbitals by $-0.4 \Delta_0$ ...

Which of the following is NOT a physical or chemical characteristics of interstitial compounds?

For the following Friedel Craft's alkylation reaction, which of the statements are correct?

A. Major product is n-propyl benzene.
B. iso-propyl carbocation intermediate is also generated.
C. Multiple substitution is inevitable.
D. Introduc...

$\mathrm{M}_3 \mathrm{~A}_2$ is a sparingly soluble salt of molar mass $y \mathrm{~g} \mathrm{~mol}^{-1}$ and solubility $x \mathrm{~g} \mathrm{~L}^{-1}$. The ratio of the molar concentration of the anion $\left(\mathrm{A}^{3-}\right)$ to t...

Given below are two statements :
Statement I : Sodium dichromate and potassium dichromate are classified as primary standards in titrimetric analysis.
Statement II : Phenolphthalein is a weak base, therefore it dissociates in acidic medium....

Arrange the following resultant mixtures in increasing order of their pH values
A. $10 \mathrm{~mL} 0.2 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_2+25 \mathrm{~mL} 0.1 \mathrm{M} \mathrm{HCl}$
B. $10 \mathrm{~mL} 0.01 \mathrm{M} \mathrm{H}_2 \mat...

Correct statements from the following are:
A. Nitrogen in oxidation states from +1 to +4 disproportionates in acid medium.
B. Nitrogen has the ability to form $\mathrm{d} \pi$ - $\mathrm{p} \pi$ multiple bonds with itself and other elements...

Given below are two statements:
Statement I: The correct order of electronegativity of fluorine, oxygen and nitrogen is $\mathrm{F}>\mathrm{O}>\mathrm{N}$.
Statement II: The oxidation state of oxygen in $\mathrm{OF}_2$ is +2 and in $\mathrm...

In an estimation of sulphur by Carius method 0.2 g of the substance gave 0.6 g of $\mathrm{BaSO}_4$. The percentage of sulphur in the substance is $\_\_\_\_$%.
(Given molar mass in $\mathrm{g} \mathrm{mol}^{-1} \mathrm{~S}: 32, \mathrm{BaSO...

How many grams of residue is obtained by heating 2.76 g of silver carbonate?
(Given : Molar mass of $\mathrm{C}, \mathrm{O}$ and Ag are 12, 16 and $108 \mathrm{~g} \mathrm{~mol}^{-1}$ respectively)

What is the mole fraction of water in $10 \%$ by weight $(\mathrm{w} / \mathrm{w})$ of aqueous urea solution?
[Given: Molar mass of $\mathrm{H}, \mathrm{O}, \mathrm{C}$ and N are $1,16,12$ and $14 \mathrm{~g} \mathrm{~mol}^{-1}$ respectivel...

Identify the correct statements from the following :
A. Heisenberg uncertainty principle is applicable to electrons.
B. The size of $2 p_x$ orbital is less than the size of $3 p_x$ orbital.
C. The energy of 2 s orbital of H atom is equal to...

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy.
A. $n=3, l=2, m=+1$
B. $n=4, l=0, m=0$
C. $n=6, l=1, m=0$
D. $n=5, l=1, m=+1$
E. $n=2, l=1, m=+1$
Choose the correct answer from the options given ...

The square of the distance of the point $\mathrm{P}(5,6,7)$ from the line $\frac{x-2}{2}=\frac{y-5}{3}=\frac{z-2}{4}$ is equal to:

$\vec{r}=(\hat{i}+\hat{j}-\hat{k})+\lambda(a \hat{i}-\hat{j}), a \neq 0$ and $\vec{r}=(4 \hat{i}-\hat{k})+\mu(2 \hat{i}+a \hat{k})$ from the origin is :

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a differentiable function such that $f\left(\frac{x+y}{3}\right)=\frac{f(x)+f(y)}{3}$ for all $x, y \in \mathbb{R}$, and $f^{\prime}(0)=3$. Then the minimum value of the function $g(x)=3+e^x f(x...

The area of the region $\mathrm{R}=\left\{(x, y): x y \leq 27,1 \leq y \leq x^2\right\}$ is equal to :

If the sum of the coefficients of $x^7$ and $x^{14}$ in the expansion of $\left(\frac{1}{x^3}-x^4\right)^n, x \neq 0$, is zero, then the value of $n$ is $\_\_\_\_$ .

Let P be a moving point on the circle $x^2+y^2-6 x-8 y+21=0$. Then, the maximum distance of P from the vertex of the parabola $x^2+6 x+y+13=0$ is equal to:

Let $a, b \in \mathbb{C}$. Let $\alpha, \beta$ be the roots of the equation $x^2+a x+b=0$. If $\beta-\alpha=\sqrt{11}$ and $\beta^2-\alpha^2=3 i \sqrt{11}$, then $\left(\beta^3-\alpha^3\right)^2$ is equal to:

The value of the integral $\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{3}}\left(\frac{4-\operatorname{cosec}^2 x}{\cos ^4 x}\right) d x$ is :

The value of the integral $\int\limits_0^{\infty} \frac{\log _e(x)}{x^2+4} d x$ is:

Let $y=y(x)$ be the solution of the differential equation $x \sin \left(\frac{y}{x}\right) d y=\left(y \sin \left(\frac{y}{x}\right)-x\right) d x, y(1)=\frac{\pi}{2}$ and let $\alpha=\cos \left(\frac{y\left(e^{12}\right)}{e^{12}}\right)$. T...

Let a focus of the ellipse $\mathrm{E}: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ be $\mathrm{S}(4,0)$ and its eccentricity be $\frac{4}{5}$. If the point $\mathrm{P}(3, \alpha)$ lies on E and O is the origin, then the area of $\triangle \mathrm{P...

Let $\mathrm{A}=\{1,2,3,4,5,6\}$. The number of one-one functions $f: \mathrm{A} \rightarrow \mathrm{A}$ such that $f(1) \geq 3, f(3) \leq 4$ and $f(2)+f(3)=5$, is $\_\_\_\_$ .

If $\frac{\pi}{4}+\sum\limits_{p=1}^{11} \tan ^{-1}\left(\frac{2^{p-1}}{1+2^{2 p-1}}\right)=\alpha$, then $\tan \alpha$ is equal to $\_\_\_\_$ .

The product of all possible values of $\alpha$, for which
$\lim \limits_{x \rightarrow 0}\left(\frac{1-\cos (\alpha x) \cos ((\alpha+1) x) \cos ((\alpha+2) x)}{\sin ^2((\alpha+1) x)}\right)=2$, is :

Consider the system of linear equations in $x, y, z$ :
$$ \begin{aligned} & x+2 y+t z=0 \\ & 6 x+y+5 t z=0 \\ & 3 x+t^2 y+f(t) z=0 \end{aligned} $$
where $f: \mathbb{R} \rightarrow \mathbb{R}$ is a differentiable function. If this system ha...

Let A be a $3 \times 3$ matrix such that
$$ \mathrm{A}^{\mathrm{T}}\left[\begin{array}{l} 1 \\ 0 \\ 1 \end{array}\right]=\left[\begin{array}{l} 5 \\ 2 \\ 2 \end{array}\right], \mathrm{A}^{\mathrm{T}}\left[\begin{array}{l} 0 \\ 0 \\ 1 \end{a...

Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends in a draw, the number of ways, in which player A wins the series is $\_\_\_\_$ .

A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR, is:

Let the sum of the first $n$ terms of an A.P. be $3 n^2+5 n$. Then the sum of squares of the first 10 terms of the A.P. is:

$\sum_{n=1}^{10}\left(\frac{528}{n(n+1)(n+2)}\right)$ is equal to:

The mean deviation about the mean for the data
$$ \begin{array}{|c|c|c|c|c|c|c|} \hline x_i & 5 & 7 & 9 & 10 & 12 & 15 \\ \hline f_i & 8 & 6 & 2 & 2 & 2 & 6 \\ \hline \end{array} $$
\(\text { is equal to: }\)

In an equilateral triangle $P Q R$, let the vertex $P$ be at $(3,5)$ and the side $Q R$ be along the line $x+y=4$. If the orthocentre of the triangle PQR is $(\alpha, \beta)$, then $9(\alpha+\beta)$ is equal to:

The sum of all the integral values of $p$ such that the equation $3 \sin ^2 x+12 \cos x-3=p, x \in \mathbb{R}$, has at least one solution, is:

Let $\tan A, \tan B$, where $A, B \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, be the roots of the quadratic equation $x^2-2 x-5=0$. Then $20 \sin ^2\left(\frac{A+B}{2}\right)$ is equal to:

Let $\vec{a}=\sqrt{7} \hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=\hat{j}+2 \hat{k}$. If $\vec{r}$ is a vector such that $\vec{r} \times \vec{a}+\vec{a} \times \vec{b}=\overrightarrow{0}$ and $\vec{r} \cdot \vec{a}=0$, then $|3 \vec{r}|^2$ is equ...

An a.c. source of angular frequency $\omega$ is connected across a resistor $R$ and a capacitor $C$ in series. The current is observed as $I$. Now the frequency of the source is changed to $\omega / 4$, (keeping the voltage unchanged) the c...