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

Download this paper as a PDF (16 pages, with answer key)

Physics

• The net current flowing in the given circuit is __________ A.
• Which one of the following is the correct dimensional formula for the capacitance in F ?…
• The torque due to the force (2 î+ĵ+2 k̂) about the origin, acting on a particle whose…
• A force F⃗=2 î+b ĵ+k̂ is applied on a particle and it undergoes a displacement î-2 ĵ-k̂…
• For a diatomic gas, if γ₁=((C p)/(C v)) for rigid molecules and γ₂=((C p)/(C v)) for…
• A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed…
• A symmetric thin biconvex lens is cut into four equal parts by two planes A B and C D as…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown…
• The maximum percentage error in the measurment of density of a wire is [Given, mass of…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• A proton is moving undeflected in a region of crossed electric and magnetic fields at a…
• A series LCR circuit is connected to an alternating source of emf E. The current…
• A rectangular metallic loop is moving out of a uniform magnetic field region to a field…
• A tube of length L is shown in the figure. The radius of cross section at the point (1)…
• A ball of mass 100 g is projected with velocity 20 m / s at 60° with horizontal. The…
• A transparent film of refractive index, 2.0 is coated on a glass slab of refractive…
• Given are statements for certain thermodynamic variables, (A) Internal energy, volume…
• A small rigid spherical ball of mass M is dropped in a long vertical tube containing…
• A parallel plate capacitor of area A=16 cm² and separation between the plates 10 cm , is…
• Two long parallel wires X and Y, separated by a distance of 6 cm , carry currents of 5 A…
• A light source of wavelength λ illuminates a metal surface and electrons are ejected…
• For a short dipole placed at origin O , the dipole moment P is along x-axis, as shown in…
• An electron projected perpendicular to a uniform magnetic field B moves in a circle. If…

Chemistry

• Given below are two statements : Statement (I) : Corrosion is an electrochemical…
• Match the Compounds (List - I) with the appropriate Catalyst/ Reagents (List - II) for…
• The most stable carbocation from the following is :
• Identify the homoleptic complex(es) that is/are low spin. (A) [Fe(CN)₅ NO]²⁻ (B)…
• Identify the number of structure/s from the following which can be corelated to…
• The correct order of the following complexes in terms of their crystal field…
• Consider the following cases of standard enthalpy of reaction (Δ Hᵣ° in kJ mol⁻¹) C₂ H₆(…
• The compound with molecular formula C₆ H₆, which gives only one monobromo derivative and…
• The species which does not undergo disproportionation reaction is :
• The molar solubility(s) of zirconium phosphate with molecular formula (Zr⁴⁺)₃(PO₄³⁻)₄ is…
• Given below are two statements : Statement (I) : An element in the extreme left of the…
• The alkane from below having two secondary hydrogens is :
• Density of 3 M NaCl solution is 1.25 g / mL. The molality of the solution is :
• Given below are two statements : Statement (I) : A spectral line will be observed for a…
• The maximum number of RBr producing 2-methylbutane by above sequence of reactions is…
• Given below are two statements : Statement (I) : Nitrogen, sulphur, halogen and…
• 20 mL of 2 M NaOH solution is added to 400 mL of 0.5 M NaOH solution. The final…
• The complex of Ni²⁺ ion and dimethyl glyoxime contains __________ number of Hydrogen (H)…
• The maximum covalency of a non-metallic group 15 element ' E ' with weakest E-E bond is :
• Niobium (Nb) and ruthenium (Ru) have " x " and " y " number of electrons in their…
• Arrange the following compounds in increasing order of their dipole moment : HBr, H₂ S…
• Match List - I with List - II. List - I (Partial Derivatives) | List - II (Thermodynamic…

Mathematics

• Let P(4,4 √3) be a point on the parabola y²=4 a x and PQ be a focal chord of the…
• Let f(x)=∫₀^(x²) (t²-8 t+15)/eᵗ dt, x ∈ R. Then the numbers of local maximum and local…
• Let A={1,2,3,4} and B={1,4,9,16}. Then the number of many-one functions f: A → B such…
• If lim x → ∞((e/(1-e))(1/e-x/(1+x)))ˣ=α, then the value of (log ₑ α)/(1+log ₑ α) equals :
• If ∫ eˣ((x sin⁻¹ x)/√(1-x²)+(sin⁻¹ x)/(1-x²)^(3/2)+x/(1-x²))dx=g(x)+C, where C is the…
• If the system of linear equations : x+y+2 z=6 ; 2 x+3 y+az=a+1 ; -x-3 y+b z=2 b where a…
• The perpendicular distance, of the line (x-1)/2=(y+2)/-1=(z+3)/2 from the point…
• Let the curve z(1+i)+z̄(1-i)=4, z ∈ C, divide the region |z-3| ≤ 1 into two parts of…
• The sum of all values of θ ∈[0,2 π] satisfying 2 sin ² θ=cos 2 θ and 2 cos ² θ=3 sin θ is
• Let A={1,2,3}. The number of relations on A, containing (1,2) and (2,3), which are…
• Let α_θ and β_θ be the distinct roots of 2 x²+(cos θ) x-1=0, θ ∈(0,2 π). If m and M are…
• In a group of 3 girls and 4 boys, there are two boys B₁ and B₂. The number of ways, in…
• Let E: x²/a²+y²/b²=1, a>b and H: x²/A²-y²/B²=1. Let the distance between the foci of E…
• The area of the region enclosed by the curves y=x²-4x+4 and y²=16-8x is :
• Let a⃗ and b⃗ be two unit vectors such that the angle between them is π/3. If λ a⃗+2 b⃗…
• For a 3 × 3 matrix M, let trace (M) denote the sum of all the diagonal elements of M…
• If x=f(y) is the solution of the differential equation (1+y²)+(x-2 e^(tan ⁻¹ y)) (d…
• Let y=f(x) be the solution of the differential equation (d y)/(d x)+(x y)/(x²-1)=(x⁶+4…
• Suppose that the number of terms in an A.P. is 2 k, k ∈ N. If the sum of all odd terms…
• Let a line pass through two distinct points P(-2,-1,3) and Q, and be parallel to the…
• Let A(6,8),B(10 cos α,-10 sin α) and C(-10 sin α,10 cos α), be the vertices of a…
• If Σr=1³⁰ r²( ³⁰ Cᵣ)²/(³⁰ Cᵣ₋₁)=α × 2²⁹, then α is equal to _________.
• Let α, β, γ and δ be the coefficients of x⁷, x⁵, x³ and x respectively in the expansion…
• Let the distance between two parallel lines be 5 units and a point P lie between the…
• If A and B are two events such that P(A ∩ B)=0.1, and P(A | B) and P(B | A) are the…

Download all JEE Main 2025 PYQs chapter-wise as free PDFs