JEE Main 2025 (Online) 8th April Evening Shift — Question Paper

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

Physics

• A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a…
• A quantity Q is formulated as X⁻²Y^(+3/2)Z^(-2/5). X, Y, and Z are independent…
• A body of mass 2 kg moving with velocity of v⃗ᵢₙ = 3 î + 4 ĵ ms⁻¹ enters into a constant…
• A block of mass 2 kg is attached to one end of a massless spring whose other end is…
• Two balls with same mass and initial velocity, are projected at different angles in such…
• For a nucleus of mass number A and radius R, the mass density of nucleus can be…
• Space between the plates of a parallel plate capacitor of plate area 4 cm² and…
• An infinitely long wire has uniform linear charge density λ = 2 nC/m. The net flux…
• Electric charge is transferred to an irregular metallic disk as shown in the figure. If…
• An electron is released from rest near an infinite non-conducting sheet of uniform…
• Two strings with circular cross section and made of same material, are stretched to have…
• A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of…
• The amplitude and phase of a wave that is formed by the superposition of two harmonic…
• Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the…
• A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm…
• A monoatomic gas having γ = 5/3 is stored in a thermally insulated container and the gas…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces…
• In a Young's double slit experiment, the source is white light. One of the slits is…
• A rod of linear mass density 'λ' and length 'L' is bent to form a ring of radius 'R'…
• Two metal spheres of radius R and 3R have same surface charge density σ . If they are…
• Figure shows a current carrying square loop ABCD of edge length is ‘a’ lying in a plane…
• A convex lens of focal length 30 cm is placed in contact with a concave lens of focal…
• A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change…
• The output voltage in the following circuit is (Consider ideal diode case)

Chemistry

• Resonance in X₂ Y can be represented as Ẍ(⊖) = X = Ÿ(⊕) ↔ :X ≡ X(⊕) - Ÿ(⊖): The…
• Which of the following binary mixture does not show the behaviour of minimum boiling…
• 20 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of…
• Given below are two statements: Statement I : A homoleptic octahedral complex, formed…
• Correct statements for an element with atomic number 9 are: A. There can be 5 electrons…
• A→((i)NaH)B→((i)EOH)C ' A ' shows positive Lassaign's test for N and its molar mass is…
• The atomic number of the element from the following with lowest 1ˢᵗ ionisation enthalpy…
• On combustion 0.210 g of an organic compound containing C, H and O gave 0.127 g H₂O and…
• Match the LIST-I with LIST-II LIST-I | LIST-II; A. Carbocation | I. Species that can…
• In a first order decomposition reaction, the time taken for the decomposition of…
• Consider the following half cell reaction Cr₂O₇²⁻ (aq) + 6e⁻ + 14H⁺ (aq) → 2Cr³⁺ (aq) +…
• When undergoes intramolecular aldol condensation, the major product formed is :
• Given below are two statements: Statement I : H₂Se is more acidic than H₂Te Statement II…
• The energy of an electron in the first Bohr orbit of the H-atom is -13.6 eV. The…
• Match the LIST-I with LIST-II LIST-I (Complex/ Species) | LIST-II (Shape & magnetic…
• Match the LIST-I with LIST-II LIST-I (Reagent) | LIST-II (Functional Group detected); A…
• The correct decreasing order of spin only magnetic moment values (BM) of Cu⁺, Cu²⁺, Cr²⁺…
• The number of species from the following that are involved in sp³d² hybridization is…
• Which one of the following reactions will not lead to the desired ether formation in…
• HA(a q) ⇌ H⁺(a q)+A⁻(a q) The freezing point depression of a 0.1 m aqueous solution of a…
• What is the correct IUPAC name of the compound?
• The equilibrium constant for decomposition of H₂O(g) H₂O(g)⇌ H₂(g)+1/2O₂(g) (Δ G°=92.34…

Mathematics

• The number of integral terms in the expansion of ( 512 + 718 )¹⁰¹⁶ is:
• Let A = [2, 2+p, 2+p+q; 4, 6+2p, 8+3p+2q; 6, 12+3p, 20+6p+3q] . If det(adj(adj(3A))) =…
• Let the function f(x) = x/3 + 3/x + 3, x ≠ 0 be strictly increasing in (-∞, α₁) ∪ (α₂…
• The value of cot⁻¹ ( (√(1 + tan²(2)) - 1)/tan(2) ) - cot⁻¹ ( (√(1 + tan²(1/2)) +…
• Let the values of λ for which the shortest distance between the lines (x-1)/2 = (y-2)/3…
• Let f(x) be a positive function and I₁ = ∫_(-1/2)¹ 2x f(2x(1-2x)) dx and I₂ = ∫₋₁²…
• The integral ∫₋₁^(3/2) (| π² x sin(π x) |) dx is equal to:
• Let the domain of the function f(x)=cos ⁻¹((4 x+5)/(3 x-7)) be [α, β] and the domain of…
• Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) ∈ R if and only…
• Let a be the length of a side of a square OABC with O being the origin. Its side OA…
• A line passing through the point P(a, 0) makes an acute angle α with the positive…
• Let r be the radius of the circle, which touches x - axis at point (a, 0), a<0 and the…
• If A and B are two events such that P(A) = 0.7, P(B) = 0.4 and P(A ∩ B̅) = 0.5, where B̅…
• There are 12 points in a plane, no three of which are in the same straight line, except…
• The product of the last two digits of (1919)¹⁹¹⁹ is
• The sum of the squares of the roots of |x-2|² + |x-2| - 2 = 0 and the squares of the…
• Let α be a solution of x² + x + 1 = 0, and for some a and b in R, [4, a, b] [1, 16, 13…
• Let the area of the bounded region {(x,y):0≤ 9x≤ y²,y≥ 3x-6} be A. Then 6A is equal to…
• If 1/1⁴ + 1/2⁴ + 1/3⁴ + … ∞= π⁴/90 , 1/1⁴ + 1/3⁴ + 1/5⁴ + … ∞= α , 1/2⁴ + 1/4⁴ + 1/6⁴ +…
• Let the area of the triangle formed by the lines x+2=y-1=z, (x-3)/5=y/-1=(z-1)/1 and…
• Let f(x) = x - 1 and g(x) = eˣ for x ∈ ℝ. If dy/dx = ( e^(-2√x) g(f(f(x))) - y/√x )…
• Let the ellipse 3x² + py² = 4 pass through the centre C of the circle x² + y² - 2x - 4y…
• Let a⃗ = î + 2ĵ + k̂ and b⃗ = 2î + ĵ - k̂ . Let c be a unit vector in the plane of the…
• Given below are two statements: Statement I: lim(x → 0) ( (tan⁻¹ x + logₑ √((1+x)/(1-x))…
• Let A = { θ ∈ [0, 2π] : 1 + 10Re( (2 cos θ + i sin θ)/(cos θ - 3i sin θ) ) = 0 } . Then…

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