JEE Main 2025 (Online) 28th January Evening Shift — Question Paper

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Physics

• The velocity-time graph of an object moving along a straight line is shown in the…
• A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of…
• A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• A thin transparent film with refractive index 1.4 , is held on circular ring of radius…
• Match List - I with List - II. List - I | List - II; (A) Angular Impulse | (I) M⁰ L²…
• The value of current I in the electrical circuit as given below, when potential at A is…
• A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass…
• A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in…
• An infinite wire has a circular bend of radius a , and carrying a current I as shown in…
• The frequency of revolution of the electron in Bohr's orbit varies with n , the…
• A conducting bar moves on two conducting rails as shown in the figure. A constant…
• A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of…
• Which of the following phenomena cannot be explained by wave theory of light?
• The kinetic energy of translation of the molecules in 50 g of CO₂ gas at 17°C is :
• The magnetic field of an E.M. wave is given by B⃗ = ( √3/2 î + 1/2 ĵ ) 30 sin [ ω ( t -…
• In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4…
• A body of mass 4 kg is placed on a plane at a point P having coordinate (3,4) m. Under…
• A concave mirror produces an image of an object such that the distance between the…
• The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a…
• The ratio of vapour densities of two gases at the same temperature is 4/25 , then the…
• An electric dipole of dipole moment 6 × 10⁻⁶ Cm is placed in uniform electric field of…
• In the circuit shown here, assuming threshold voltage of diode is negligibly small, then…
• Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from…

Chemistry

• For bacterial growth in a cell culture, growth law is very similar to the law of…
• Match List-I with List-II. List - I (Saccharides) | List - II (Glycosidic-linkages…
• Given below are two statements: Statement I : and are isomeric compounds. Statement II…
• Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution…
• An ideal gas undergoes a cyclic transformation starting from the point A and coming back…
• The total number of compounds from below when treated with hot KMnO₄, giving benzoic…
• The purification method based on the following physical transformation is : Solid…
• The spin only magnetic moment ( μ ) value (B.M.) of the compound with strongest…
• Identify correct statements : (A) Primary amines do not give diazonium salts when…
• Which of the following is/are not correct with respect to energy of atomic orbitals of…
• Identify correct conversion during acidic hydrolysis from the following : (A) starch…
• Identify the inorganic sulphides that are yellow in colour : (A) (NH₄)₂S (B) PbS (C) CuS…
• Consider the following data : Heat of formation of CO₂(g)=-393.5 kJ mol ⁻¹ Heat of…
• Arrange the following in increasing order of solubility product : Ca(OH)₂, AgBr, PbS, HgS
• The amphoteric oxide among V₂ O₃, V₂ O₄ and V₂ O₅, upon reaction with alkali leads to…
• Identify product [A], [B] and [C] in the following reaction sequence. CH₃-C ≡ CH →(Pd /…
• A group 15 element forms d π-d π bond with transition metals. It also forms hydride…
• Given below are two statements : Statement I : According to the Law of Octaves, the…
• Concentrated nitric acid is labelled as 75 % by mass. The volume in mL of the solution…
• Consider an elementary reaction A( g)+B( g) → C( g)+D( g) If the volume of reaction…
• Total number of molecules/species from following which will be paramagnetic is…
• Match List - I with List - II. List - I (Complex) | List - II (Hybridisation of central…

Mathematics

• For positive integers n, if 4 aₙ=(n²+5 n+6) and Sₙ=Σₖ₌₁ⁿ(1/aₖ), then the value of 507…
• If the midpoint of a chord of the ellipse x²/9+y²/4=1 is (√2, 4 / 3), and the length of…
• Let f(x)=lim _(n → ∞) Σᵣ₌₀ⁿ((tan (x / 2ʳ⁺¹)+tan ³(x / 2ʳ⁺¹))/(1-tan ²(x / 2ʳ⁺¹))) Then…
• The interior angles of a polygon with n sides, are in an A.P. with common difference 6°…
• If y=y(x) is the solution of the differential equation, √(4-x²) (d y)/(d x)=((sin…
• The area of the region bounded by the curves x(1+y²)=1 and y²=2x is:
• If α + iβ and γ + iδ are the roots of x² - (3 - 2i)x - (2i - 2) = 0, i = √-1, then α γ +…
• Let S be the set of all the words that can be formed by arranging all the letters of the…
• Let f:[0,3] → A be defined by f(x)=2 x³-15 x²+36 x+7 and g:[0, ∞) → B be defined by…
• The square of the distance of the point ( 15/7, 32/7, 7 ) from the line (x + 1)/3 = (y +…
• Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x) =…
• Let A=[1/√2, -2; 0, 1] and P=[cos θ, -sin θ; sin θ, cos θ], θ>0. If B=PAP ᵀ, C=Pᵀ B¹⁰ P…
• If the components of a⃗=α î+β ĵ+γ k̂ along and perpendicular to b⃗=3 î+ĵ-k̂…
• Let f be a real valued continuous function defined on the positive real axis such that…
• If A and B are the points of intersection of the circle x²+y²-8x=0 and the hyperbola…
• Let A, B, C be three points in xy-plane, whose position vector are given by √3 î+ĵ, î+√3…
• Bag B₁ contains 6 white and 4 blue balls, Bag B₂ contains 4 white and 6 blue balls, and…
• Let A and B be the two points of intersection of the line y+5=0 and the mirror image of…
• The number of natural numbers, between 212 and 999, such that the sum of their digits is…
• If f(x)=∫ 1/x^(1/4)(1+x^(1/4))dx,f(0)=-6, then f(1) is equal to :
• Let f: R-{0} →(-∞, 1) be a polynomial of degree 2 , satisfying f(x) f(1/x)=f(x)+f(1/x)…
• Two equal sides of an isosceles triangle are along -x+2y=4 and x+y=4. If m is the slope…
• If Σᵣ₌₁¹³{1/(sin (π/4+(r-1)π/6)sin (π/4+rπ/6))}=a√3+b,a,b∈ Z, then a²+b² is equal to :
• Let f: R → R be a twice differentiable function such that f(2)=1. If F(x)=x f(x) for all…
• Let the coefficients of three consecutive terms Tᵣ, Tᵣ₊₁ and Tᵣ₊₂ in the binomial…

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