JEE Main 2026 (Online) 2nd April Morning Shift

In IUPAC nomenclature, the correct order of decreasing priority of functional group is :

For the given molecule, "x", the preferred site for the attack of the electrophile is :

Match List - I with List - II.



List - IVitamin

List - IIName


A
Vitamin B1
I
Pyridoxine


B
Vitamin B2
II
Ascorbic acid


C
Vitamin B6
III
Thiamine


...

Given below are two statements :Statement (I): The correct sequence of bond lengths in the following species is :$\ce{O2^{+}} < \ce{O2} < \ce{O2^{-}} < \ce{O2^{2-}}$Statement (II): The correct sequence of number of unpaired electrons in the...

t100% is the time required for the 100% completion of the reaction while t1/2 is the time required for 50% of the reaction to be completed. Which of the following option correctly represents the relation between t100% and t1/2 for zero and ...

For reaction A → P, rate constant $k = 1.5 \times 10^3 \ \mathrm{s}^{-1}$ at $27^{\circ}\mathrm{C}$If activation energy for the above reaction is $60\ \mathrm{kJ}\ \mathrm{mol}^{-1}$, then the temperature (in $^{\circ}\mathrm{C}$) at which ...

Consider the three aromatic molecules (P, Q and R) whose structures have been given below :The correct order regarding the reactivity of these compounds with \(\mathrm{Ph}-\underset{(+)}{\mathrm{N}} \equiv \mathrm{~N} \mathrm{Cl}^{(-)}\) ...

Match List - I with List - II.



List - I Chromium (III) Complexes (en = ethylene diamine)
List - II Δ₀ (cm⁻¹)


A
[Cr(CN)₆]³⁻
I. 15,060


B
[CrF₆]³⁻
II. 17,400


C
[Cr(H₂O)₆]³⁺
...

5.33 g of CrCl3·6H2O, which is a 1 : 3 electrolyte, is dissolved in water and is passed through a cation exchanger. The chloride ions in the eluted solution, on treatment with AgNO3 results in 8.61 g of AgCl. The ratio of moles of complex r...

Which of the following sets includes all the species that will change the orange colour of $\mathrm{K_2Cr_2O_7}$ in acidic medium?

An electrochemical cell is constructed using half cells in the direction of spontaneous change:Fe(OH)2(s) + 2e− → Fe(s) + 2OH−(aq)      Eθ = −0.88 Vand AgBr(s) + e− → Ag(s) + Br−(aq)      Eθ = +0.07 VWhich of the following option is correct...

Given below are two statements :Statement (I) : Benzyl chloride reacts faster in $S_N1$ mechanism than ethyl chloride.Statement (II) : Ethyl carbocation intermediate is less stabilized by hyperconjugation than benzyl carbocation by resonanc...

Consider the isomers of hydrocarbon with molecular formula $C_5H_{10}$. These isomers do not decolourise $KMnO_4$ solution. These isomers are subjected to chlorination with chlorine in presence of light to give monochloro compounds. The tot...

One mole of an alkane (x) requires 8 mole oxygen for complete combustion. Sum of number of carbon and hydrogen atoms in the alkane (x) is ________.

The solubility product constants of $\mathrm{Ag_2CrO_4}$ and $\mathrm{AgBr}$ are $32x$ and $4y$ respectively at 298 K.The value of \(\left( \frac{\text{molarity of } \mathrm{Ag_2CrO_4}}{\text{molarity of } \mathrm{AgBr}} \right)\) can be e...

Given below are two statements :Statement (I) : The first ionisation enthalpy of the elements Na, Mg, Cl and Ar follows the order Na > Mg > Cl > Ar.Statement (II) : Among Ca, Al, Fe and B, the third ionisation enthalpy is very high for Ca.I...

Given below are two statements :Statement (I) : 1,2,3-Trihydroxypropane can be separated from water by simple distillation.Statement (II) : An azeotropic mixture cannot be separated by fractional distillation.In the light of the above state...

Match List - I with List - II.



List - I Mixture of Compounds

List - IIReagent used to distinguish


A
Diethyl amine + Ethyl amine
I
Bromine water


B
Acetaldehyde + Acetone
II
CH...

Given below are two statements: Statement (I): Oxidising power of halogens decreases in the order $F_2 > Cl_2 > Br_2 > I_2$, which is the basis of "Layer test". Statement (II): "Layer test" to identify $Br_2$ and $I_2$ in aqueous solution i...

A salt with few drops of conc. HCl gives apple green colour in flame test. The group precipitate of the salt is dissolved in acetic acid and treated with K$_2$CrO$_4$ to give yellow precipitate. When the sodium carbonate extract of the salt...

19.5 g of fluoro acetic acid (molar mass = 78 g mol−1) is dissolved in 500 g of water at 298 K. The depression in the freezing point of water was 1∘C. What is $K_a$ of fluoro acetic acid? (For water, $K_f = 1.86$ K kg mol−1). Assume molarit...

The mass of iron converted into Fe3O4 by the action of 18 g of steam is:
(Given: Molar mass of H, O and Fe are 1, 16 and 56 g mol−1 respectively)
Assume iron is present in excess:

What is the energy (in J atom−1) required for the following process? Li2+ (g) → Li3+ (g) + e− (Take the ionization energy for the H atom in the ground state as $2.18 \times 10^{−18} \text{ J atom}^{−1}$)

Consider the following data.(i) $2\text{Al(s)} + 6\text{HCl(aq)} \rightarrow \text{Al}_2\text{Cl}_6\text{(aq)} + 3\text{H}_2\text{(g)} + 1200~\text{kJ/mol}$(ii) $\text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)} + 164~...

At the transition temperature $T$, $A \rightleftharpoons B$ and $\Delta G^0 = 105 - 35 \log T$ where A and B are two states of substance X. The transition temperature in $^{\circ}\mathrm{C}$ when pressure is 1 atm is ________. (Nearest inte...

If the point of intersection of the lines $ \frac{x+1}{3} = \frac{y+a}{5} = \frac{z+b+1}{7} $ and $ \frac{x-2}{1} = \frac{y-b}{4} = \frac{z-2a}{7} $ lies on xy-plane, then the value of $a+b$ is:

Let a line L passing through the point (1, 1, 1) be perpendicular to both the vectors $2\hat{i} + 2\hat{j} + \hat{k}$ and $\hat{i} + 2\hat{j} + 2\hat{k}$. If $P(a, b, c)$ is the foot of perpendicular from the origin on the line L, then the ...

The number of critical points of the function $f(x) = \begin{cases} |\frac{\sin x}{x}|, & x \neq 0 \\ 1, & x = 0 \end{cases}$ in the interval $(-2\pi, 2\pi)$ is equal to :

Let a circle C have its centre in the first quadrant, intersect the coordinate axes at exactly three points and cut off equal intercepts from the coordinate axes. If the length of the chord of C on the line $x + y = 1$ is $\sqrt{14}$, then ...

Let $x$ and $y$ be real numbers such that $50\left(\frac{2 x}{1+3 i}-\frac{y}{1-2 i}\right)=31+17 i, i=\sqrt{-1}$. Then the value of $10(x-3 y)$ is :

Let [.] denote the greatest integer function. Then the value of $\int\limits_{0}^{3} \left( \frac{e^{x} + e^{-x}}{[x]!} \right) dx$ is :

If $\alpha = \int\limits_{0}^{2\sqrt{3}} \log_{2}(x^{2} + 4) \, dx + \int\limits_{2}^{4} \sqrt{2x - 4} \, dx$, then $\alpha^{2}$ is equal to ________.

If the curve $y = f(x)$ passes through the point $(1, e)$ and satisfies the differential equation $dy = y(2 + \\log_e x) dx$, $x > 0$, then $f(e)$ is equal to :

Let $y = y(x)$ be the solution curve of the differential equation $(1 + \sin x)\dfrac{dy}{dx} + (y + 1)\cos x = 0,\ y(0) = 0.$ If the curve $y = y(x)$ passes through the point $\left( \alpha , \dfrac{-1}{2} \right)$, then a value of $\alph...

Let an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, $a < b$, pass through the point (4, 3) and have eccentricity $\frac{\sqrt{5}}{3}$.Then the length of its latus rectum is :

If the domain of the function $f(x) = \sqrt{\log_{(0.6)} (\left| \frac{2x-5}{x^2-4} \right|)}$ is $(-\infty, a] \cup \{b\} \cup [c, d) \cup (e, \infty)$, then the value of $a + b + c + d + e$ is ________.

If $ \lim\limits_{x\to 2} \frac{\sin\left(x^3 - 5x^2 + ax + b\right)}{\left(\sqrt{x-1}-1\right) \log_e(x-1)} = m $, then $a + b + m$ is equal to :

Let $\alpha, \beta \in \mathbb{R}$ be such that the system of linear equations
$ \begin{aligned} x + 2y + z &= 5 \\ 2x + y + \alpha z &= 5 \\ 8x + 4y + \beta z &= 18 \end{aligned} $
has no solution. Then $\frac{\beta}{\alpha}$ is equal to :

Let $A = \begin{bmatrix} 1 & 2 \\ 1 & \alpha \end{bmatrix}$ and $B = \begin{bmatrix} 3 & 3 \\ \beta & 2 \end{bmatrix}$. If $A^2 - 4A + I = O$ and $B^2 - 5B - 6I = O$, then among the two statements:
(S1) : $[(B-A)(B+A)]^T = \begin{bmatrix} 1...

The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each digit is used at least once, is:

The number of elements in the set $S = \left\{ (r, k) : k \in \mathbb{Z} \text{ and } ^{36}C_{r+1} = \frac{6\left(^{35}C_{r}\right)}{(k^2-3)} \right\}$ is :

Let a, b, c ∈ {1, 2, 3, 4}. If the probability, that $a x^2 + 2\sqrt{2} bx + c > 0$ for all $x \in \mathbb{R}$, is $\frac{m}{n}$, $\gcd(m, n) = 1$, then $m + n$ is equal to ________.

Let $\alpha, \alpha+2, \alpha \in \mathbf{Z}$, be the roots of the quadratic equation $x(x+2)+(x+1)(x+3)+(x+2)(x+4)+\ldots .+(x+\mathrm{n}-1)(x+\mathrm{n}+1)=4 \mathrm{n}$ for some $\mathrm{n} \in \mathbf{N}$. Then $\mathrm{n}+\alpha$ is eq...

Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the set of first 71 terms of an A.P., whose first term is 9 and the common difference is 7. Then the number of elements in $A ...

If $\sum\limits_{k=1}^{n} a_k = 6 n^3$, then $\sum\limits_{k=1}^{6} \left( \frac{a_{k+1} - a_k}{36} \right)^2$ is equal to ________.

If the mean of the datatable {width: 100%;border-collapse: collapse;margin: 20px 0;}th {background-color: blue;color: white;border: 1px solid lightgrey;padding: 10px;}td {border: 1px solid lightgrey;padding: 10px;text-align: left;}Class5-10...

Let the mid points of the sides of a triangle ABC be $\left(\frac{5}{2}, 7\right)$, $\left(\frac{5}{2}, 3\right)$ and $(4, 5)$. If its incentre is $(h, k)$, then $3h + k$ is equal to :

Let $S = \{x \in [-\pi, \pi] : \sin x (\sin x + \cos x) = a,\ a \in \mathbb{Z} \}$. Then $n(S)$ is equal to:

If $\sin\left(\frac{\pi}{18}\right) \sin\left(\frac{5\pi}{18}\right) \sin\left(\frac{7\pi}{18}\right) = K$, then the value of $\sin\left(\frac{10K\pi}{3}\right)$ is:

If $\vec{a}$ and $\vec{b}$ are two vectors such that $|\vec{a}|=2$ and $|\vec{b}|=3$, then the maximum value of $3|(3 \vec{a}+2 \vec{b})|+4|(3 \vec{a}-2 \vec{b})|$ is :