JEE Main 2025 (23 Jan Shift 1)

67 Questions • 75 Minutes • 2025

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Match the LIST-I with LIST-II [table] LIST-I (Classification of molecules based on octet rule) | LIST-II (Example) ; A. Molecules obeying octet rule | I. NO, NO₂ ; B. Molecules with incomplete octet | II. BCl₃, AlCl₃ ; C. Molecules with incomplete octet with odd electron | III. H₂SO₄, PCl₅ ; D. Molecules with expanded octet | IV. CCl₄, CO₂ [/table] Choose the correct answer from the options given below:

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What amount of bromine will be required to convert 2 g of phenol into 2,4,6-tribromophenol? (Given molar mass in $\mathrm{g\,mol^{-1}}$ of C, H, O, Br are 12, 1, 16, 80 respectively)

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The correct set of ions (aqueous solution) with same colour from the following is:

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Given below are two statements: Statement I: In Lassaigne's test, the covalent organic molecules are transformed into ionic compounds. Statement II: The sodium fusion extract of an organic compound having N and S gives prussian blue colour with $\mathrm{FeSO_4}$ and $\mathrm{Na_4[Fe(CN)_6]}$. In the light of the above statements, choose the correct answer from the options given below.

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Propane molecule on chlorination under photochemical condition gives two di-chloro products, " x " and " y ". Amongst " x " and " y ", " x " is an optically active molecule. How many tri-chloro products (consider only structural isomers) will be obtained from " x " when it is further treated with chlorine under the photochemical condition?

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$\mathrm{CrCl_3\cdot xNH_3}$ can exist as a complex. 0.1 molal aqueous solution of this complex shows a depression in freezing point of $0.558^\circ$C. Assuming 100% ionisation of this complex and coordination number of Cr is 6, the complex will be (Given $K_f=1.86\ \mathrm{K\,kg\,mol^{-1}}$)

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Which of the following happens when $\mathrm{NH_4OH}$ is added gradually to the solution containing 1 M $\mathrm{A^{2+}}$ and 1M $\mathrm{B^{3+}}$ ions? Given : $K_{sp}[A(OH)_2]=9\times10^{-10}$ and $K_{sp}[B(OH)_3]=27\times10^{-18}$ at 298 K.

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The major product of the following reaction is: $\mathrm{CH_3CH_2CH=O}\xrightarrow[\text{reflux}]{\text{excess HCHO, alkali}}$ ?

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Ice at $-5^\circ$C is heated to become vapor with temperature of $110^\circ$C at atmospheric pressure. The entropy change associated with this process can be obtained from

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The incorrect statement among the following is options.

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$2.8\times10^{-3}$ mol of $\mathrm{CO_2}$ is left after removing $10^{21}$ molecules from its ' $x$ ' mg sample. The mass of $\mathrm{CO_2}$ taken initially is Given: $N_A=6.02\times10^{23}\ \mathrm{mol^{-1}}$

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Match the LIST-I with LIST-II [table] LIST-I (Name reaction) | LIST-II (Product obtainable) ; A. Swarts reaction | I. Ethyl benzene ; B. Sandmeyer's reaction | II. Ethyl iodide ; C. Wurtz Fittig reaction | III. Cyanobenzene ; D. Finkelstein reaction | IV. Ethyl fluoride [/table] Choose the correct answer from the options given below:

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Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this? Given : Rydberg constant $R_H=10^5\ \mathrm{cm^{-1}}$, $h=6.6\times10^{-34}$ J s, $c=3\times10^8$ m/s )

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The d- electronic configuration of an octahedral Co(II) complex having magnetic moment of 3.95 BM is:

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Let the circle $C$ touch the line $x-y+1=0$, have the centre on the positive $x$-axis, and cut off a chord of length $\frac4{\sqrt{13}}$ along the line $-3x+2y=1$. Let $H$ be the hyperbola $\frac{x^2}{\alpha^2}-\frac{y^2}{\beta^2}=1$, whose one of the foci is the centre of $C$ and the length of the transverse axis is the diameter of $C$. Then $2\alpha^2+3\beta^2$ is equal to ______

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If the equation $a(b-c)x^2+b(c-a)x+c(a-b)=0$ has equal roots, where $a+c=15$ and $b=\frac{36}5$, then $a^2+c^2$ is equal to

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If the set of all values of $a$, for which the equation $5x^3-15x-a=0$ has three distinct real roots, is the interval $(\alpha,\beta)$, then $\beta-2\alpha$ is equal to ______

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The sum of all rational terms in the expansion of $\left(1+2^{1/2}+3^{1/2}\right)^6$ is equal to

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If the area of the larger portion bounded between the curves $x^2+y^2=25$ and $y=|x-1|$ is $\frac14(b\pi+c)$, $b,c\in N$, then $b+c$ is equal to

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A positive ion $A$ and a negative ion $B$ has charges $6.67\times10^{-19}$ C and $9.6\times10^{-10}$ C, and masses $19.2\times10^{-27}$ kg and $9\times10^{-27}$ kg respectively. At that instant, the ions are separated by a certain distance $r$. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is $P\times10^{45}$, where the value of $10P$ is ______ (Take $\frac1{4\pi\varepsilon_0}=9\times10^9\ \mathrm{Nm^2C^{-2}}$ and universal gravitational constant as $6.67\times10^{-11}\ \mathrm{Nm^2kg^{-2}}$) Assume that charge may not be an integral multiple of electrons.

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Paper Info

Exam: JEE
Year: 2025
Questions: 67
Duration: 75 mins

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