JEE Main 8 Apr 2026, Shift 2

Given below are two statements :

Given : Molar mass of C, H, O, Cl are 12, 1, 16 and 35.5 g mol$^{-1}$, respectively.

Statement I : In 30%(w/w) solution of methanol in $\ce{CCl4}$ (at T K), the mole fraction of $\ce{CCl4}$ is equal to 0.33.

Statement II : Mixture of methanol and $\ce{CCl4}$ shows positive deviation from Raoult's law.

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

• (A)For water, magnitude of $K_\mathrm{b}$ is more than the magnitude of $K_\mathrm{f}$.
• (B)The elevation in boiling point of water when a non-volatile solute is added to it is larger in magnitude than its depression in freezing point.
• (C)Osmotic pressure measurement is preferred over any other colligative property to determine molar mass of proteins and polymers.
• (D)The dimerised form of benzoic acid in benzene is

Consider the following reactions in which all the reactants and products are present in gaseous state

$2\mathrm{xy} \rightleftharpoons \mathrm{x_2} + \mathrm{y_2}$   $K_1 = 2.5\times10^{5}$

$\mathrm{xy} + \dfrac{1}{2}\mathrm{z_2} \rightleftharpoons \mathrm{xyz}$   $K_2 = 5\times10^{-3}$

The value of $K_3$ for the equilibrium

$\dfrac{1}{2}\mathrm{x_2} + \dfrac{1}{2}\mathrm{y_2} + \dfrac{1}{2}\mathrm{z_2} \rightleftharpoons \mathrm{xyz}$ is :

Given at 298 K : $E^{\ominus}_{\mathrm{Fe^{2+}/Fe}} = X$ Volt

 $E^{\ominus}_{\mathrm{Fe^{3+}/Fe}} = Y$ Volt

The $E^{\ominus}_{\mathrm{Fe^{3+}/Fe^{2+}}}$ in Volt at 298 K is given by :

Given below are two statements :

$R = 8.314$ J K$^{-1}$ mol$^{-1}$ and 1 cal $= 4.2$ J

Statement I : When Ea $= 12.6$ kcal/mol, the room temperature rate constant is doubled by a 10$^\circ$C increase in temperature (298 K to 308 K)

Statement II : For a first order reaction $\ce{A -> B}$,

Here $[\mathrm{A}]_0$ is the initial concentration of A and $t_{1/2}$ is half-life of reaction.

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

• (A)Reducing nature increases from $\ce{NH3}$ to $\ce{BiH3}$
• (B)Tendency to donate lone pair of electrons decreases from $\ce{NH3}$ to $\ce{BiH3}$
• (C)The stability of hydrides decreases from $\ce{NH3}$ to $\ce{BiH3}$
• (D)HEH bond angle decreases from $\ce{NH3}$ to $\ce{SbH3}$ (E = Elements of group 15)

Given below are two statements :

Statement I : The number of pairs among [$\ce{Ti^4+}$, $\ce{V^2+}$], [$\ce{V^2+}$, $\ce{Mn^2+}$], [$\ce{Mn^2+}$, $\ce{Fe^3+}$] and [$\ce{V^2+}$, $\ce{Cr^2+}$] in which both ions are coloured is 3.

Statement II : The number of pairs among [$\ce{La^3+}$, $\ce{Yb^2+}$], [$\ce{Lu^3+}$, $\ce{Ce^4+}$] and [$\ce{Ac^3+}$, $\ce{Lr^3+}$] ions in which both are diamagnetic is 3.

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

Given below are two statements for catalytic properties of transition metals :

Statement I : First row transition metals which act as catalyst utilise their 3d electrons only for formation of bonds between reactant molecules and atoms on the surface of catalyst.

Statement II : There is increase in the concentration of reactants on the surface of catalyst which strengthens the bonds in reacting molecules.

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

Given below are two statements :

Statement I : Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points in fractional distillation.

Statement II : The vapours rising up in the fractionating column become richer in high boiling component of the mixture.

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

n-Butane on monochlorination under photochemical conditions gives an optically active compound “P”. “P” on further chlorination gives dichloro compounds.

The number of dichloro compounds obtained (ignore stereoisomers) is :

Given below are two statements :

Statement-I : Due to increase in van der Waals forces, the order of boiling points is $\ce{CH3CH2CH2I}$ $>$ $\ce{CH3CH2I}$ $>$ $\ce{CH3I}$.

Statement-II : As is more symmetric, its melting point is higher than , however its boiling point is lower than

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

• (A)In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of $\ce{Br2}$ are consumed per mole of an amide
• (B)Hoffmann bromamide reaction is not given by alkyl amides.
• (C)Primary amines can be synthesized by Hoffmann bromamide degradation.
• (D)Secondary amide on reaction with $\ce{Br2}$ and NaOH will give secondary amine.
• (E)The by-products of Hoffmann degradation are $\ce{Na2CO3}$, NaBr and $\ce{H2O}$.

Number of paramagnetic complexes among the following is .

$\ce{[MnBr4]^2-}$, $\ce{[NiCl4]^2-}$, $\ce{[Ni(CN)4]^2-}$, $\ce{[Ni(CO)4]}$, $\ce{[CoF6]^3-}$, $\ce{[Fe(CN)6]^4-}$, $\ce{[Mn(CN)6]^3-}$, $\ce{[Ti(CN)6]^3-}$, $\ce{[Cu(H2O)6]^2+}$, $\ce{[Co(C2O4)3]^3-}$

Consider two radiations of wavelengths :

 1. $\lambda_1 = 2000$ Å

 2. $\lambda_2 = 6000$ Å

The ratio of the energies of these two radiations $\left(\dfrac{E_1}{E_2}\right)$ is . (Nearest integer)

Consider the reaction :

$\ce{2H2S(g) + 3O2(g) -> 2H2O($l$) + 2SO2(g)}$

The magnitude of enthalpy change for the reaction in kJ mol$^{-1}$ is . (Nearest integer)

Given : $\Delta_f H^{\ominus}$ ($\ce{H2S}$) $= -20.1$ kJ mol$^{-1}$

 $\Delta_f H^{\ominus}$ ($\ce{H2O}$) $= -286.0$ kJ mol$^{-1}$

 $\Delta_f H^{\ominus}$ ($\ce{SO2}$) $= -297.0$ kJ mol$^{-1}$

Solid carbon, CaO and $\ce{CaCO3}$ are mixed and allowed to attain equilibrium at T K.

$\ce{CaCO3 <=> CaO(s) + CO2(g)}$   Kp$_1 = 0.08$ atm

$\ce{C(s) + CO2(g) <=> 2CO(g)}$   Kp$_2 = 2$ atm

The partial pressure of CO is $\times 10^{-1}$ atm.

Consider the relation $R$ on the set $\{-2, -1, 0, 1, 2\}$ defined by $(a, b) \in R$ if and only if $1 + ab > 0$. Then among the statements:

I. The number of elements in $R$ is 17

II. $R$ is an equivalence relation

Let $\alpha = 3\sin^{-1}\left(\dfrac{6}{11}\right)$ and $\beta = 3\cos^{-1}\left(\dfrac49\right)$, where inverse trigonometric functions take only the principal values.

Given below are two statements:

Statement I: $\cos(\alpha + \beta) > 0$

Statement II: $\cos(\alpha) < 0$

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

For the function $f(x) = e^{\sin\lvert x\rvert} - \lvert x\rvert$, $x \in \mathbb{R}$, consider the following statements:

Statement I: $f$ is differentiable for all $x \in \mathbb{R}$.

Statement II: $f$ is increasing in $\left(-\pi, -\dfrac{\pi}{2}\right)$.

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