List of top Questions asked in JEE Main- 2026

Let \( \alpha, \alpha + 2 \in \mathbb{Z} \) be the roots of the quadratic equation} \[ x(x+2) + (x+1)(x+3) + (x+2)(x+4) + \cdots + (x+n-1)(x+n+1) = 4n \] for some \( n \in \mathbb{N} \). Then \( n + \alpha \) is equal to:

Find coefficient of friction \( \mu \) so that the blocks are at rest.

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 $15(e^2 + 1) = 34e$, then the length of the latus rectum of the hyperbola $\frac{x^2}{b^2} - \frac{y^2}{2(a^2 + 1)} = 1$ 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 $\text{g mol}^{-1}$ : H:1, C:12, O:16)

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 $\log 3 = 0.4771$)

Consider the reaction $X \rightleftharpoons Y$ at $300$ K. If $\Delta H^{\theta}$ and $K$ are $28.40$ kJ mol$^{-1}$ and $1.8 \times 10^{-7}$ at the same temperature, then the magnitude of $\Delta S^{\theta}$ for the reaction in J K$^{-1}$ mol$^{-1}$ is ______. (Nearest integer)
(Given : $R = 8.3$ J K$^{-1}$ mol$^{-1}$, $\ln 10 = 2.3$, $\log 3 = 0.48$, $\log 2 = 0.30$)

Match the LIST-I with LIST-II.

Choose the correct answer from the options given below:

First and second ionization enthalpies of lithium are $520\text{ kJ mol}^{-1}$ and $7297\text{ kJ mol}^{-1}$ respectively. Energy required to convert $3.5\text{ mg}$ lithium (g) into $\text{Li}^{2+}(g)$ $[\text{Li}(g) \rightarrow \text{Li}^{2+}(g)]$ is ________ $\text{kJ mol}^{-1}$. (nearest integer)
[Molar mass of $\text{Li} = 7\text{ g mol}^{-1}$]

Match the LIST-I with LIST-II.

Choose the correct answer from the options given below:

Arrange the following compounds according to increasing order of boiling points.
n-$C_4H_9OH$ (A), n-$C_4H_9NH_2$ (B), n-$C_4H_{10}$ (C) and $C_2H_5NHC_2H_5$ (D).

Consider the following sequence of reactions.

The percentage of nitrogen in the yellow product (X) formed is ________ %. (Nearest Integer)
(Given Molar mass in $\text{g mol}^{-1}$ H:1, C:12, N:14)

Which of the following are true about the energy of the given d-orbitals of a tetrahedral complex?

A. $d_{xy} = d_{yz}>d_{x^2-y^2}$
B. $d_{xy} = d_{yz}>d_{z^2}$
C. $d_{x^2-y^2}>d_{z^2}>d_{xz}$
D. $d_{x^2-y^2} = d_{z^2}<d_{xz}$

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 statements, choose the correct answer from the options given below

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 $CH_3MgBr$ with water.
Statement II: Methane cannot be prepared from unsaturated hydrocarbons and by Wurtz reaction.

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

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 reaction as well as Gattermann reaction.

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

$R_f$ value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is 0.42. 2-methylpropene is treated with dilute $H_2SO_4$ to give major organic product (X). $R_f$ value for (X) in the same solvent system under identical condition will be:

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 $x \%$?

Given below are two statements:

Statement I: Aluminium is more electropositive than thallium as the standard electrode potential value of $E^\circ_{Al^{3+}/Al}$ is negative and $E^\circ_{Tl^{3+}/Tl}$ is positive.
Statement II: The sum of first three ionization enthalpies of boron is very high when compared to that of aluminium. Due to this reason boron forms covalent compounds only and aluminium forms $Al^{3+}$ ion.

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

The correct statements among the following are.

A. Basic vanadium oxide is used in the manufacture of $H_2SO_4$.
B. The spin-only magnetic moment value of the transition metal halide employed in Ziegler-Natta polymerization is 2.84 BM.
C. The p-block metal compound employed in Ziegler-Natta polymerization has the metal in +3 oxidation state.
D. The number of electrons present in the outer most 'd' orbital of metal halide employed in Wacker process is 8.

Choose the correct answer from the options given below:

One mole each of He and $A(g)$ are taken in a 10 L closed flask and heated to 400 K to establish the following equilibrium.
$$A(g) \rightleftharpoons B(g)$$
$K_c$ for this reaction at 400 K is 4.0. The partial pressures (in atm) of He and $B(g)$ are respectively (at equilibrium)
(Assume He, $A(g)$ and $B(g)$ behave as ideal gases)
(Given : $R = 0.082 \text{ L atm K}^{-1} \text{ mol}^{-1}$)

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Consider the following data.

$$\begin{array}{|c|c|} \hline \text{Electrolyte} & \Lambda_m^\circ (\text{S cm}^2 \text{ mol}^{-1}) \\ \hline \text{BaCl}_2 & x_1 \\ \hline \text{H}_2\text{SO}_4 & x_2 \\ \hline \text{HCl} & x_3 \\ \hline \end{array}$$

$\text{BaSO}_4$ is sparingly soluble in water. If the conductivity of the saturated $\text{BaSO}_4$ solution is $x$ S cm$^{-1}$ then the solubility product of $\text{BaSO}_4$ can be given as
(Here $\Lambda_m = \Lambda_m^\circ$)

Arrange the following isothermal processes in order of the magnitude of the work (p - V) involved between states 1 and 2.

A. Expansion in single stage $w_A$
B. Expansion in multi stages $w_B$
C. Compression in single stage $w_C$
D. Compression in multi stages $w_D$

Choose the correct option.