JEE Main 2025 (Online) 22nd January Morning Shift — Question Paper

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Physics

• Given below are two statements : Statement I: In a vernier callipers, one vernier scale…
• The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV…
• An electron in the ground state of the hydrogen atom has the orbital radius of 5.3 ×…
• Three conductors of same length having thermal conductivity k₁, k₂ and k₃ are connected…
• Which of the following circuits represents a forward biased diode? Choose the correct…
• Which of the following resistivity ( ρ ) v / s temperature ( T ) curves is most suitable…
• Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other…
• Given below are two statements : Statement-I : The equivalent emf of two nonideal…
• A particle is projected at an angle of 30° from horizontal at a speed of 60 m / s. The…
• Given is a thin convex lens of glass (refractive index μ ) and each side having radius…
• An amount of ice of mass 10⁻³ kg and temperature -10° C is transformed to vapour of…
• In the diagram given below, there are three lenses formed. Considering negligible…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• A bob of mass m is suspended at a point O by a light string of length l and left to…
• A line charge of length a/2 is kept at the center of an edge B C of a cube ABCDEFGH…
• A uniform circular disc of radius ' R′ and mass ' M′ is rotating about an axis…
• A closed organ and an open organ tube are filled by two different gases having same bulk…
• If B is magnetic field and μ₀ is permeability of free space, then the dimensions of…
• An electron is made to enter symmetrically between two parallel and equally but…
• The position vectors of two 1 kg particles, (A) and (B), are given by r⃗_A=(α₁ t² î+α₂ t…
• A small point of mass m is placed at a distance 2 R from the centre ' O ' of a big…
• The driver sitting inside a parked car is watching vehicles approaching from behind with…
• A parallel-plate capacitor of capacitance 40 μ F is connected to a 100 V power supply…
• Sliding contact of a potentiometer is in the middle of the potentiometer wire having…
• Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same…

Chemistry

• Which of the following electrolyte can be used to obtain H₂ S₂ O₈ by the process of…
• A → B The molecule A changes into its isomeric form B by following a first order…
• The IUPAC name of the following compound is : COOH, COOCH₃; |, |; CH₃, -, CH, -, CH₂, -…
• From the magnetic behaviour of [NiCl₄]²⁻ (paramagnetic) and [Ni(CO)₄] (diamagnetic)…
• A solution of aluminium chloride is electrolysed for 30 minutes using a current of 2 A…
• Consider the following sequence of reactions : Molar mass of the product formed (A) is…
• Lanthanoid ions with 4 f⁷ configuration are : (A) Eu²⁺ (B) Gd³⁺ (C) Eu³⁺ (D) Tb³⁺ (E)…
• Match List-I with List-II. List - I | List - II; (A) | Al³⁺<Mg²⁺<Na⁺<F⁻ | (I) |…
• A vessel at 1000 K contains CO₂ with a pressure of 0.5 atm . Some of CO₂ is converted…
• The number of molecules/ions that show linear geometry among the following is…
• Which of the following acids is a vitamin ?
• Which of the following electronegativity order is incorrect?
• The compounds which give positive Fehling's test are : Choose the correct answer from…
• Arrange the following solutions in order of their increasing boiling points. (i) 10⁻⁴ M…
• Given below are two statements : Statement I : One mole of propyne reacts with excess of…
• The incorrect statements regarding geometrical isomerism are : (A) Propene shows…
• A liquid when kept inside a thermally insulated closed vessel at 25° C was mechanically…
• Which of the following statement is not true for radioactive decay?
• Radius of the first excited state of Helium ion is given as : a₀ → radius of first…
• In Carius method for estimation of halogens, 180 mg of an organic compound produced…
• Given below are two statements : Statement I : CH₃-O-CH₂-Cl will undergo S_N 1 reaction…
• The products formed in the following reaction sequence are :
• How many different stereoisomers are possible for the given molecule? CH₃-CH-CH=CH-CH₃
• Some CO₂ gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This…
• In which of the following complexes the CFSE, Δₒ will be equal to zero?

Mathematics

• Using the principal values of the inverse trigonometric functions, the sum of the…
• Let a₁, a₂, a₃, … be a G.P. of increasing positive terms. If a₁ a₅=28 and a₂+a₄=29, then…
• If Σr=0⁵ (¹¹ C₂ᵣ₊₁)/(2 r+2)=m/n, gcd(m, n)=1, then m-n is equal to __________.
• Let f(x) be a real differentiable function such that f(0)=1 and f(x+y)=f(x) f′(y)+f′(x)…
• A coin is tossed three times. Let X denote the number of times a tail follows a head. If…
• Let the function, f(x)= -3 ax²-2, x<1 ; a²+b x, x ≥ 1 be differentiable for all x ∈ R…
• Let for f(x)=7 tan ⁸ x+7 tan ⁶ x-3 tan ⁴ x-3 tan ² x, I₁=∫₀^(π / 4) f(x) d x and…
• Let the foci of a hyperbola be (1,14) and (1,-12). If it passes through the point (1,6)…
• Let A be a square matrix of order 3 such that det(A)=-2 and det(3 adj(-6 adj(3 A)))=2ᵐ⁺ⁿ…
• Let c⃗ be the projection vector of b⃗=λ î+4 k̂, λ>0, on the vector a⃗=î+2 ĵ+2 k̂. If…
• A circle C of radius 2 lies in the second quadrant and touches both the coordinate axes…
• The number of non-empty equivalence relations on the set {1,2,3} is :
• The area of the region, inside the circle (x-2√3)²+y²=12 and outside the parabola…
• Let x=x(y) be the solution of the differential equation y² d x+(x-1/y) d y=0. If x(1)=1…
• Let z₁, z₂ and z₃ be three complex numbers on the circle |z|=1 with arg (z₁)=-π/4, arg…
• Let the parabola y=x²+p x-3, meet the coordinate axes at the points P, Q and R . If the…
• Let f: R → R be a twice differentiable function such that f(x+y)=f(x) f(y) for all x, y…
• From all the English alphabets, five letters are chosen and are arranged in alphabetical…
• Two balls are selected at random one by one without replacement from a bag containing 4…
• Let the triangle PQR be the image of the triangle with vertices (1,3),(3,1) and (2,4) in…
• Let L₁: (x-1)/2=(y-2)/3=(z-3)/4 and L₂: (x-2)/3=(y-4)/4=(z-5)/5 be two lines. Then which…
• Let L₁: (x-1)/3=(y-1)/-1=(z+1)/0 and L₂: (x-2)/2=y/0=(z+4)/α, α ∈ R, be two lines, which…
• If Σr=1ⁿ Tᵣ=(2 n-1)(2 n+1)(2 n+3)(2 n+5)/64, then lim n → ∞ Σr=1ⁿ(1/Tᵣ) is equal to :
• Let A={1,2,3, …, 10} and B={m/n: m, n ∈ A, m< n and gcd(m, n)=1}. Then n(B) is equal to :

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