JEE Main 2025 (Online) 23rd January Morning Shift — Question Paper

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Physics

• Given a thin convex lens (refractive index μ₂ ), kept in a liquid (refractive index μ₁…
• A solid sphere of mass ' m ' and radius ' r ' is allowed to roll without slipping from…
• A force f=x² y î+y² ĵ acts on a particle in a plane x+y=10. The work done by this force…
• The position of a particle moving on x-axis is given by x(t)=A sin t+B cos² t+Ct²+D…
• Consider a circular disc of radius 20 cm with centre located at the origin. A circular…
• Given below are two statements: Statement I: The hot water flows faster than cold water…
• Two particles are located at equal distance from origin. The position vectors of those…
• A point particle of charge Q is located at P along the axis of an electric dipole 1 at a…
• Regarding self-inductance: A. The self-inductance of the coil depends on its geometry…
• A radioactive nucleus n₂ has 3 times the decay constant as compared to the decay…
• The electric flux is φ=α σ+β λ where λ and σ are linear and surface charge density…
• Refer to the circuit diagram given in the figure. which of the following observations…
• A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is…
• Match the List - I with List - II List - I | List - II; (A) | Pressure varies inversely…
• An ideal gas initially at 0° C temperature, is compressed suddenly to one fourth of its…
• What is the lateral shift of a ray refracted through a parallel-sided glass slab of…
• The motion of an airplane is represented by velocity-time graph as shown below. The…
• Identify the valid statements relevant to the given circuit at the instant when the key…
• A spherical surface of radius of curvature R, separates air from glass (refractive index…
• A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having…
• Consider a moving coil galvanomenter (MCG): A. The torsional constant in moving coil…
• A sub-atomic particle of mass 10⁻³⁰ kg is moving with a velocity 2.21 × 10⁶ m / s. Under…
• The electric field of an electromagnetic wave in free space is E⃗=57 cos [7.5 × 10⁶ t-5…
• In the given circuit the sliding contact is pulled outwards such that electric current…

Chemistry

• Ice at -5° C is heated to become vapor with temperature of 110° C at atmospheric…
• The element that does not belong to the same period of the remaining elements (modern…
• The standard enthalpy and standard entropy of decomposition of N₂ O₄ to NO₂ are 55.0 kJ…
• CrCl₃ · xNH₃ can exist as a complex. 0.1 molal aqueous solution of this complex shows a…
• What amount of bromine will be required to convert 2 g of phenol into…
• For the thermal decomposition of N₂ O₅( g) at constant volume, the following table can…
• Consider the following sequence of reactions to produce major product (A) Molar mass of…
• FeO₄²⁻ →(+2.0 V) Fe³⁺ →(0.8 V) Fe²⁺ →(-0.5 V) Fe⁰ In the above diagram, the standard…
• The correct set of ions (aqueous solution) with same colour from the following is:
• Given below are two statements: Statement I: Fructose does not contain an aldehydic…
• Which of the following happens when NH₄ OH is added gradually to the solution containing…
• Propane molecule on chlorination under photochemical condition gives two di-chloro…
• The correct stability order of the following species/molecules is :
• Match the List - I with List - II List - I Name reaction | List - II Product obtainable…
• If 1 mM solution of ethylamine produces pH=9, then the ionization constant (K_b) of…
• The major product of the following reaction is : CH₃ CH₂ CH=O →(excess HCHO alkali) ?
• Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which…
• 2.8 × 10⁻³ mol of CO₂ is left after removing 10²¹ molecules from its ' x ' mg sample…
• Given below are two statements: Statement I: In Lassaigne's test, the covalent organic…
• The d-electronic configuration of an octahedral Co (II) complex having magnetic moment…
• During " S " estimation, 160 mg of an organic compound gives 466 mg of barium sulphate…
• The complex that shows Facial - Meridional isomerism is :
• Which among the following react with Hinsberg's reagent? A. B. C.CH₃-NH₂ D. N(CH₃)₃ E…
• Match the List - I with List - II List - I (Classification of molecules based on octet…
• The incorrect statement among the following is

Mathematics

• If the area of the larger portion bounded between the curves x²+y²=25 and y=|x-1| is…
• Let I(x)=∫ dx/(x-11)^(11/13)(x+15)^(15/13). If…
• The sum of all rational terms in the expansion of (1+2^(1 / 3)+3^(1 / 2))⁶ is equal to…
• The number of words, which can be formed using all the letters of the word "DAUGHTER"…
• If the function f(x)={2/x{sin (k₁+1) x+sin (k₂-1) x}, x<0; 4, x=0; 2/x log ₑ((2+k₁…
• If the system of equations (λ-1) x+(λ-4) y+λ z=5 ; λ x+(λ-1) y+(λ-4) z=7 ; (λ+1) x+(λ+2)…
• If π/2 ≤ x ≤ (3 π)/4, then cos ⁻¹(12/13 cos x+5/13 sin x) is equal to
• If A, B, and(adj(A⁻¹)+adj(B⁻¹)) are non-singular matrices of same order, then the…
• If the equation a(b-c) x²+b(c-a) x+c(a-b)=0 has equal roots, where a+c=15 and b=36/5…
• If the first term of an A.P. is 3 and the sum of its first four terms is equal to…
• Marks obtains by all the students of class 12 are presented in a freqency distribution…
• Let the position vectors of the vertices A, B and C of a tetrahedron ABCD be î+2 ĵ+k̂…
• The value of ∫_(e²)^(e⁴) 1/x(e^(((log ₑ x)²+1)⁻¹)/(e^(((log ₑ x)²+1)⁻¹)+e^(((6-log ₑ…
• Let P be the foot of the perpendicular from the point Q(10,-3,-1) on the line…
• The value of (sin 70°)(cot 10°cot 70°-1) is
• Let |(z̄-i)/(2 z̄+i)|=1/3, z ∈ C, be the equation of a circle with center at C. If the…
• If the line 3 x-2 y+12=0 intersects the parabola 4 y=3 x² at the points A and B, then at…
• Let R={(1,2),(2,3),(3,3)} be a relation defined on the set {1,2,3,4}. Then the minimum…
• One die has two faces marked 1 , two faces marked 2 , one face marked 3 and one face…
• Let the arc A C of a circle subtend a right angle at the centre O. If the point B on the…
• If the set of all values of a, for which the equation 5 x³-15 x-a=0 has three distinct…
• Let a curve y=f(x) pass through the points (0,5) and (log ₑ 2, k). If the curve…
• Let the area of a △ PQR with vertices P(5,4),Q(-2,4) and R(a,b) be 35 square units. If…
• Let f(x)=log ₑ x and g(x)=(x⁴-2 x³+3 x²-2 x+2)/(2 x²-2 x+1). Then the domain of f ° g is
• Let the circle C touch the line x-y+1=0, have the centre on the positive x-axis, and cut…

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