JEE Main 2025 (Online) 3rd April Evening Shift — Question Paper

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Physics

• Two cells of emfs 1 V and 2 V and internal resistances 2 Ω and 1 Ω, respectively, are…
• Match the LIST-I with LIST-II LIST-I | LIST-II ; A. | Boltzmann constant | I | ML² T⁻¹…
• Given below are two statements: one is labelled as A s s e r t i o n A and the other is…
• A physical quantity C is related to four other quantities p,q,r and s as follows…
• A solid steel ball of diameter 3.6 mm acquired terminal velocity 2.45 × 10⁻² m / s while…
• The truth table corresponding to the circuit given below is:
• An ideal gas exists in a state with pressure P₀, volume V₀. It is isothermally expanded…
• Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern…
• Light from a point source in air falls on a spherical glass surface (refractive index…
• A monochromatic light of frequency 5 × 10¹⁴ Hz travelling through air, is incident on a…
• An electron in the hydrogen atom initially in the fourth excited state makes a…
• Consider two blocks A and B of masses m₁=10 kg and m₂=5 kg that are placed on a…
• Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4 % when…
• A particle is projected with velocity u so that its horizontal range is three times the…
• In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm…
• A particle moves along the x-axis and has its displacement x varying with time t…
• A block of mass 1 kg , moving along x with speed vᵢ=10 m / s enters a rough region…
• A motor operating on 100 V draws a current of 1 A . If the efficiency of the motor is…
• The excess pressure inside a soap bubble A in air is half the excess pressure inside…
• Width of one of the two slits in a Young's double slit interference experiment is half…
• Two cylindrical vessels of equal cross sectional area of 2 m² contain water upto heights…
• Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed…
• A magnetic dipole experiences a torque of 80 √3 N m when placed in uniform magnetic…
• Given below are two statements: one is labelled as A s s e r t i o n A and the other is…
• An electric bulb rated as 100 W-220 V is connected to an ac source of rms voltage 220 V…

Chemistry

• What is the correct IUPAC name of ?
• Identify the diamagnetic octahedral complex ions from below ; A. [Mn(CN)₆]³⁻ B…
• Mass of magnesium required to produce 220 mL of hydrogen gas at STP on reaction with…
• Given below are two statements : Statement I : Hyperconjugation is not a permanent…
• Fat soluble vitamins are: A. Vitamin B₁ B. Vitamin C C. Vitamin E D. Vitamin B 12 E…
• Match the LIST-I with LIST-II LIST-I (Family) | LIST-II (Symbol of Element); A. |…
• 40 mL of a mixture of CH₃ COOH and HCl (aqueous solution) is titrated against 0.1 M NaOH…
• The total number of structural isomers possible for the substituted benzene derivatives…
• Consider the following statements related to temperature dependence of rate constants…
• For electrons in ' 2 s ' and ' 2 p ' orbitals, the orbital angular momentum values…
• 10 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now…
• X g of nitrobenzene on nitration gave 4.2 g of m -dinitrobenzene. X = __________g…
• Given below are two statements: Statement I : Wet cotton clothes made of cellulose based…
• A sample of n -octane (1.14 g) was completely burnt in excess of oxygen in a bomb…
• Among, Sc, Mn, Co and Cu , identify the element with highest enthalpy of atomisation…
• The correct orders among the following are Atomic radius : B<Al<Ga<In<Tl…
• A perfect gas ( 0.1 mol ) having C̅ᵥ=1.50 R (independent of temperature) undergoes the…
• Given below are two statements: Statement I : When a system containing ice in…
• Given below are two statements: Statement I : CrO₃ is a stronger oxidizing agent than…
• In Dumas' method for estimation of nitrogen 0.4 g of an organic compound gave 60 mL of…
• Compounds that should not be used as primary standards in titrimetric analysis are : A…
• The standard cell potential (E_(cell)⊖) of a fuel cell based on the oxidation of…
• The sequence from the following that would result in giving predominantly 3,4,5-…

Mathematics

• The number of solutions of the equation (4-√3) sin x-2 √3 cos ² x=-4/(1+√3), x ∈[-2 π…
• If the probability that the random variable X takes the value x is given by…
• The area of the region {(x,y):|x-y|≤ y≤ 4√x} is
• Let a⃗=î+2 ĵ+k̂, b⃗=3 î-3 ĵ+3 k̂, c⃗=2 î-ĵ+2 k̂ and d⃗ be a vector such that b⃗ × d⃗=c⃗…
• Let y=y(x) be the solution of the differential equation (d y)/(d x)+3(tan ² x) y+3 y=sec…
• Let the equation x(x+2)(12-k)=2 have equal roots. Then the distance of the point (k…
• Let C be the circle of minimum area enclosing the ellipse E: x²/a²+y²/b²=1 with…
• Let A={-2,-1,0,1,2,3}. Let R be a relation on A defined by x R y if and only if y=max…
• If lim _(x → 0) ((tan x)/x)^(1/x²)=p , then 96 log ₑ p is equal to____________
• Let I be the identity matrix of order 3 × 3 and for the matrix A=[λ, 2, 3; 4, 5, 6; 7…
• If the equation of the hyperbola with foci (4,2) and (8,2) is 3 x²-y²-α x+β y+γ=0, then…
• Let (1+x+x²)¹⁰=a₀+a₁ x+a₂ x²+…+a₂₀ x²⁰. If (a₁+a₃+a₅+…+a₁₉)-11 a₂=121 k, then k is equal…
• Consider the lines x(3λ+1)+y(7λ+2)=17λ+5,λ being a parameter, all passing through a…
• Let f be a function such that f(x)+3 f(24/x)=4 x, x ≠ 0. Then f(3)+f(8) is equal to
• The integral ∫₀^π (8 x d x)/(4 cos ² x+sin ² x) is equal to
• Each of the angles β and γ that a given line makes with the positive y - and z-axes…
• Let f: R → R be a function defined by f(x)=||x+2|-2| x ∥. If m is the number of points…
• The distance of the point (7,10,11) from the line (x-4)/1=(y-4)/0=(z-2)/3 along the line…
• Line L₁ of slope 2 and line L₂ of slope 1/2 intersect at the origin O . In the first…
• Let the Mean and Variance of five observations x₁=1, x₂=3, x₃=a, x₄=7 and x₅=b, a>b, be…
• The shortest distance between the curves y²=8 x and x²+y²+12 y+35=0 is:
• The sum 1+(1+3)/2!+(1+3+5)/3!+(1+3+5+7)/4!+… upto ∞ terms, is equal to
• If z₁,z₂,z₃ ∈ are the vertices of an equilateral triangle, whose centroid is z₀, then…
• If the domain of the function f(x)=log ₇(1-log ₄(x²-9 x+18)) is (α, β) ∪(γ, o), then…
• If the four distinct points (4,6),(-1,5),(0,0) and (k, 3 k) lie on a circle of radius r…

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