JEE Main 2025 (22 Jan Shift 1)

67 Questions • 75 Minutes • 2025

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Which of the following electrolyte can be used to obtain H₂S₂O₈ by the process of electrolysis?

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Given below are two statements : Statement I : CH₃–O–CH₂–Cl will undergo SN1 reaction though it is a primary halide. Statement II : (CH₃)₃C–CH₂–Cl (neopentyl chloride) will not undergo SN2 reaction very easily though it is a primary halide. In the light of the above statements, choose the most appropriate answer from the options given below :

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Which of the following acids is a vitamin?

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Match List-I with List-II. [table] List-I | List-II ; (A) Al³⁺ < Mg²⁺ < Na⁺ < F⁻ | (I) Ionisation Enthalpy ; (B) B < C < O < N | (II) Metallic character ; (C) B < Al < Mg < K | (III) Electronegativity ; (D) Si < P < S < Cl | (IV) Ionic radii [/table] Choose the correct answer from the options given below :

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Which of the following statement is not true for radioactive decay?

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The products formed in the following reaction sequence are : C₆H₅NO₂ —(i) Br₂, AcOH; (ii) Sn, HCl; (iii) NaNO₂, HCl, 273 K; (iv) C₂H₅OH→ A + B

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How many different stereoisomers are possible for the given molecule? CH₃–CH(OH)–CH=CH–CH₃

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A vessel at 1000 K contains CO₂ with a pressure of 0.5 atm. Some of CO₂ is converted into CO on addition of graphite. If total pressure at equilibrium is 0.8 atm, then Kp is :

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A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A. The amount of the aluminium deposited at the cathode is [Given : molar mass of aluminium and chlorine are 27 g mol⁻¹ and 35.5 g mol⁻¹ respectively. Faraday constant = 96500 C mol⁻¹]

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The IUPAC name of the following compound is : CH₃–CH(COOH)–CH₂–CH₂–CH(COOCH₃)–CH₃

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In which of the following complexes the CFSE, Δₒ will be equal to zero?

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Arrange the following solutions in order of their increasing boiling points. (i) 10⁻⁴ M NaCl (ii) 10⁻⁴ M Urea (iii) 10⁻³ M NaCl (iv) 10⁻² M NaCl

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From the magnetic behaviour of [NiCl₄]²⁻ (paramagnetic) and [Ni(CO)₄] (diamagnetic), choose the correct geometry and oxidation state.

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Let $A$ be a square matrix of order 3 such that $\det(A)=-2$ and $\det(3\,\mathrm{adj}(-6\,\mathrm{adj}(3A)))=2^{m+n}\cdot3^{mn}$, $m>n$. Then $4m+2n$ is equal to _______

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If $\sum_{r=0}^5\frac{{}^{11}C_{2r+1}}{2r+2}=\frac mn$, $\gcd(m,n)=1$, then $m-n$ is equal to _______

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Let $\vec c$ be the projection vector of $\vec b=\lambda\hat i+4\hat k$, $\lambda>0$, on the vector $\vec a=\hat i+2\hat j+2\hat k$. If $|\vec a+\vec c|=7$, then the area of the parallelogram formed by the vectors $\vec b$ and $\vec c$ is _______

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Let the function $f(x)=\begin{cases}-3ax^2-2,&x<1\\a^2+bx,&x\ge1\end{cases}$ be differentiable for all $x\in\mathbf R$, where $a>1$, $b\in\mathbf R$. If the area of the region enclosed by $y=f(x)$ and the line $y=-20$ is $\alpha+\beta\sqrt3$, $\alpha,\beta\in\mathbf Z$, then the value of $\alpha+\beta$ is _______

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Let $L_1:\frac{x-1}{3}=\frac{y-1}{-1}=\frac{z+1}{0}$ and $L_2:\frac{x-2}{2}=\frac{y}{0}=\frac{z+4}{\alpha}$, $\alpha\in\mathbf R$, be two lines, which intersect at the point $B$. If $P$ is the foot of perpendicular from the point $A(1,1,-1)$ on $L_2$, then the value of $26\alpha(PB)^2$ is _______

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The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature $R=2$ m. Another car approaches him from behind with a uniform speed of 90 km/hr. When the car is at a distance of 24 m from him, the magnitude of the acceleration of the image of the car in the side view mirror is ' a '. The value of $100a$ is _______ m/s².

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Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is _______ .

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Paper Info

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

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