JEE Main 2025 (24 Jan Shift 2)

63 Questions • 75 Minutes • 2025

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Identify correct statement/s : (A) $-OCH_3$ and $-NHCOCH_3$ are activating group. (B) -CN and -OH are meta directing group. (C) -CN and $-SO_3H$ are meta directing group. (D) Activating groups act as ortho - and para directing groups. (E) Halides are activating groups. Choose the correct answer from the options given below :

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Based on the data given below : $E^\circ_{Cr_2O_7^{2-}/Cr^{3+}}=1.33$ V, $E^\circ_{Cl_2/Cl^-}=1.36$ V, $E^\circ_{MnO_4^-/Mn^{2+}}=1.51$ V, $E^\circ_{Cr^{3+}/Cr}=-0.74$ V, the strongest reducing agent is :

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For the reaction, $H_2(g)+I_2(g)\rightleftharpoons2HI(g)$ Attainment of equilibrium is predicted correctly by :

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Find the compound 'A' from the following reaction sequences. $A\xrightarrow{\text{aqua-regia}}B\xrightarrow[(2)\ AcOH]{(1)\ KNO_2|NH_4OH}$ yellow ppt

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The elemental composition of a compound is $54.2\%$C, $9.2\%$H and $36.6\%$O. If the molar mass of the compound is $132\ g\ mol^{-1}$, the molecular formula of the compound is : [Given : The relative atomic mass of C : H : O = 12 : 1 : 16]

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The conditions and consequence that favours the $t_{2g}^{3}e_g^{1}$ configuration in a metal complex are

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The successive 5 ionisation energies of an element are $800,2427,3658,25024$ and $32824$ kJ/mol, respectively. By using the above values predict the group in which the above element is present :

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Which of the following mixing of 1 M base and 1 M acid leads to the largest increase in temperature?

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$S(g)+\frac32O_2(g)\to SO_3(g)+2x\text{ kcal}$; $SO_2(g)+\frac12O_2(g)\to SO_3(g)+y\text{ kcal}$. The heat of formation of $SO_2(g)$ is given by :

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Let P be the image of the point $Q(7,-2,5)$ in the line $L:\frac{x-1}2=\frac{y+1}3=\frac z4$ and $R(5,p,q)$ be a point on $L$. Then the square of the area of $\triangle PQR$ is ________.

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If $\int\frac{2x^2+5x+9}{\sqrt{x^2+x+1}}dx=x\sqrt{x^2+x+1}+\alpha\sqrt{x^2+x+1}+\beta\log_e\left|x+\frac12+\sqrt{x^2+x+1}\right|+C$, where $C$ is the constant of integration, then $\alpha+2\beta$ is equal to ________.

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Let $y=y(x)$ be the solution of the differential equation $2\cos x\frac{dy}{dx}=\sin2x-4y\sin x,\ x\in\left(0,\frac\pi2\right)$. If $y\left(\frac\pi3\right)=0$, then $y'\left(\frac\pi4\right)+y\left(\frac\pi4\right)$ is equal to ________.

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Number of functions $f:\{1,2,\dots,100\}\to\{0,1\}$, that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to ________.

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Let $H_1:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and $H_2:-\frac{x^2}{A^2}+\frac{y^2}{B^2}=1$ be two hyperbolas having length of latus rectums $15\sqrt2$ and $12\sqrt5$ respectively. Let their eccentricities be $e_1=\sqrt{\frac52}$ and $e_2$ respectively. If the product of the lengths of their transverse axes is $100\sqrt{10}$, then $25e_2^2$ is equal to ________.

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The ratio of the power of a light source $S_1$ to that the light source $S_2$ is $2$. $S_1$ is emitting $2\times10^{15}$ photons per second at $600$ nm. If the wavelength of the source $S_2$ is $300$ nm, then the number of photons per second emitted by $S_2$ is ...... $\times10^{14}$.

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The increase in pressure required to decrease the volume of a water sample by $0.2\%$ is $P\times10^5\ \text{Nm}^{-2}$. Bulk modulus of water is $2.15\times10^9\ \text{Nm}^{-2}$. The value of P is ......

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A tightly wound long solenoid carries a current of $1.5$ A. An electron is executing uniform circular motion inside the solenoid with a time period of $75$ ns. The number of turns per metre in the solenoid is ...... [Take mass of electron $m_e=9\times10^{-31}$ kg, charge of electron $|q_e|=1.6\times10^{-19}$ C, $\mu_0=4\pi\times10^{-7}\,\frac N{A^2}$, $1\text{ ns}=10^{-9}$ s]

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Acceleration due to gravity on the surface of earth is $g$. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on the surface of the earth is ...... g.

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In Carius method of estimation of halogen, $0.25$ g of an organic compound gave $0.15$ g of silver bromide $(AgBr)$. The percentage of Bromine in the organic compound is ...... $\times10^{-1}\%$ (Nearest integer). (Given : Molar mass of Ag is $108$ and Br is $80\ g\ mol^{-1}$)

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The observed and normal molar masses of compound $MX_2$ are $65.6$ and $164$ respectively. The percent degree of ionisation of $MX_2$ is ...... %. (Nearest integer)

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Paper Info

Exam: JEE
Year: 2025
Questions: 63
Duration: 75 mins

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