JEE Main 2025 (23 Jan Shift 2)

68 Questions • 75 Minutes • 2025

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Which of the following graphs most appropriately represents a zero order reaction ?

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Consider the reaction $\mathrm{X_2Y(g)}\rightleftharpoons\mathrm{X_2(g)}+\frac12\mathrm{Y_2(g)}$ The equation representing correct relationship between the degree of dissociation (x) of $\mathrm{X_2Y(g)}$ with its equilibrium constant $K_p$ is ______ . Assume $x$ to be very very small.

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Given below are two statements : Consider the following reaction R₂C=O + H₂O ⇌ R₂C(OH)₂ (equilibrium constant K). Statement (I) : In the case of formaldehyde (HCHO), K is about 2280, due to small substituents, hydration is faster. Statement (II) : In the case of trichloroacetaldehyde (CCl₃CHO), K is about 2000 due to −I effect of −Cl. In the light of the above statements, choose the correct answer from the options given below:

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Given below are two statements : Statement (I) : For a given shell, the total number of allowed orbitals is given by $n^2$. Statement (II) : For any subshell, the spatial orientation of the orbitals is given by $-l$ to $+l$ values including zero. In the light of the above statements, choose the correct answer from the options given below :

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Standard electrode potentials for a few half cells are mentioned below : $E^\circ_{Cu^{2+}/Cu}=0.34$ V, $E^\circ_{Zn^{2+}/Zn}=-0.76$ V, $E^\circ_{Ag^+/Ag}=0.80$ V, $E^\circ_{Mg^{2+}/Mg}=-2.37$ V. Which one of the following cells gives the most negative value of $\Delta G^\circ$ ?

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The $\alpha$-Helix and $\beta$ - Pleated sheet structures of protein are associated with its :

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Given below are the atomic numbers of some group 14 elements. The atomic number of the element with lowest melting point is :

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Given below are two statements about X-ray spectra of elements : Statement (I) : A plot of $\sqrt\nu$ ($\nu$ = frequency of X-rays emitted) vs atomic mass is a straight line. Statement (II) : A plot of $\nu$ ($\nu$ = frequency of X-rays emitted) vs atomic number is a straight line. In the light of the above statements, choose the correct answer from the options given below :

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Identify A, B and C in the given below reaction sequence $A\xrightarrow{HNO_3}\mathrm{Pb(NO_3)_2}\xrightarrow{H_2SO_4}B\xrightarrow[(3)\ K_2CrO_4]{(1)\text{ Ammonium acetate},\ (2)\text{ Acetic acid}}C$

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Given below are two statements : Statement (I) : The boiling points of alcohols and phenols increase with increase in the number of C-atoms. Statement (II) : The boiling points of alcohols and phenols are higher in comparison to other class of compounds such as ethers, haloalkanes. In the light of the above statements, choose the correct answer from the options given below :

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Consider a binary solution of two volatile liquid components 1 and 2. $x_1$ and $y_1$ are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of $\frac1{x_1}$ vs $\frac1{y_1}$ are given respectively as:

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Match List - I with List - II. [table] List - I | List - II ; (A) Bronze | (I) Cu, Ni ; (B) Brass | (II) Fe, Cr, Ni, C ; (C) UK silver coin | (III) Cu, Zn ; (D) Stainless steel | (IV) Cu, Sn [/table] Choose the correct answer from the options given below :

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pH of water is 7 at 25°C. If water is heated to 80°C., it's pH will :

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Identify the coordination complexes in which the central metal ion has $d^4$ configuration. (A) $[\mathrm{FeO_4}]^{2-}$ (B) $[\mathrm{Mn(CN)_6}]^{3-}$ (C) $[\mathrm{Fe(CN)_6}]^{3-}$ (D) $\mathrm{Cr_2(O-C(=O)-Me)_4(H_2O)_2}$ (E) $[\mathrm{NiF_6}]^{2-}$. Choose the correct answer from the options given below :

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When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg. The mole fraction of the solute in the solution is 0.2. What would be the mole fraction of the solvent if decrease in vapour pressure is 20 mm of Hg ?

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The variance of the numbers $8,21,34,47,\ldots,320$ is

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The roots of the quadratic equation $3x^2-px+q=0$ are $10^{th}$ and $11^{th}$ terms of an arithmetic progression with common difference $\frac32$. If the sum of the first 11 terms of this arithmetic progression is 88, then $q-2p$ is equal to ______ -.

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The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is ______ -

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The focus of the parabola $y^2=4x+16$ is the centre of the circle $C$ of radius 5. If the values of $\lambda$, for which $C$ passes through the point of intersection of the lines $3x-y=0$ and $x+\lambda y=4$, are $\lambda_1$ and $\lambda_2$, $\lambda_1<\lambda_2$, then $12\lambda_1+29\lambda_2$ is equal to

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Let $\alpha,\beta$ be the roots of the equation $x^2-ax-b=0$ with $\operatorname{Im}(\alpha)<\operatorname{Im}(\beta)$. Let $P_n=\alpha^n-\beta^n$. If $P_3=-5\sqrt7\,i$, $P_4=-3\sqrt7\,i$, $P_5=11\sqrt7\,i$ and $P_6=45\sqrt7\,i$, then $|\alpha^4+\beta^4|$ is equal to

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Paper Info

Exam: JEE
Year: 2025
Questions: 68
Duration: 75 mins

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