JEE Main 2025 (Online) 29th January Evening Shift — Question Paper

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Physics

• A plane electromagnetic wave propagates along the + x direction in free space. The…
• A parallel plate capacitor consisting of two circular plates of radius 10 cm is being…
• Match List - I with List - II. List - I | List - II; (A) Magnetic induction | (I) Ampere…
• A cup of coffee cools from 90°C to 80°C in t minutes when the room temperature is 20°C…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• The truth table for the circuit given below is:
• Two cars P and Q are moving on a road in the same direction. Acceleration of car P…
• A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When…
• The difference of temperature in a material can convert heat energy into electrical…
• A poly-atomic molecule (C_V=3 R, C_P=4 R, where R is gas constant) goes from phase space…
• Three equal masses m are kept at vertices (A, B, C) of an equilateral triangle of side a…
• Two identical symmetric double convex lenses of focal length f are cut into two equal…
• Two planets, A and B are orbiting a common star in circular orbits of radii R_A and R_B…
• A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the…
• A capacitor, C₁ = 6 μ F is charged to a potential difference of V₀ = 5V using a 5V…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• A physical quantityQ is related to four observablesa,b,c,d as follows: Q=ab⁴/cd where…
• In an experiment with photoelectric effect, the stopping potential,
• The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level…
• The magnetic field inside a 200 turns solenoid of radius 10 cm is 2.9 × 10⁻⁴ Tesla. If…
• Match List - I with List - II . List - I | List - II; (A) Young’s Modulus | (I) M L⁻¹…
• Two bodies A and B of equal mass are suspended from two massless springs of spring…
• An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having…
• Two concave refracting surfaces of equal radii of curvature and refractive index 1.5…
• A point charge causes an electric flux of -2 × 10⁴ Nm² C⁻¹ to pass through a spherical…

Chemistry

• First ionisation enthalpy values of first four group 15 elements are given below. Choose…
• The type of oxide formed by the element among Li, Na, Be, Mg, B and Al that has the…
• In the sulphur estimation, 0.20 g of a pure organic compound gave 0.40 g of barium…
• Identify the homoleptic complexes with odd number of d electrons in the central metal…
• Drug X becomes ineffective after 50 % decomposition. The original concentration of drug…
• For hydrogen like species, which of the following graphs provides the most appropriate…
• Which among the following halides will generate the most stable carbocation in the…
• Which one of the following reaction sequences will give an azo dye?
• Isomeric hydrocarbons → negative Baeyer’s test (Molecular formula C₉H₁₂) The total…
• Consider the following low-spin complexes K₃[Co(NO₂)₆], K₄[Fe(CN)₆], K₃[Fe(CN)₆]…
• Identify the essential amino acids from below: (A) Valine (B) Proline (C) Lysine (D)…
• Given below are two statements : Statement (I) : It is impossible to specify…
• Given below are two statements : Statement (I): NaCl is added to the ice at 0°C, present…
• Which one of the following, with HBr will give a phenol?
• Total number of non-bonded electrons present in NO₂⁻ ion based on Lewis theory is ______.
• Total number of sigma (σ) _______ and pi(π) ______ bonds respectively present in…
• Given below are two statements : Statement (I) : On nitration of m-xylene with…
• The calculated spin-only magnetic moments of K₃[Fe(OH)₆] and K₄[Fe(OH)₆] respectively…
• Match List - I with List - II : List - I (Applications) | List - II (Batteries/Cell)…
• O₂ gas will be evolved as a product of electrolysis of : (A) an aqueous solution of…
• Consider the equilibrium CO(g)+3H₂( g)⇌ CH₄( g)+H₂O( g) If the pressure applied over the…
• 0.1 M solution of KI reacts with excess of H₂ SO₄ and KIO₃ solutions. According to…
• If C (diamond ) → C (graphite) +X kJ mol⁻¹ C (diamond) +O₂( g) → CO₂( g)+Y kJ mol ⁻¹ C…
• In the Claisen-Schmidt reaction to prepare, dibenzalacetone from 5.3 g of benzaldehyde…
• Given below are two statements : Statement (I): In partition chromatography, stationary…

Mathematics

• Let α, β (α ≠ β) be the values of m , for which the equations x+y+z=1 , x+2y+4z=m and…
• Let a be a unit vector perpendicular to the vectors b⃗ = î - 2ĵ + 3k̂ and c⃗ = 2î + 3ĵ -…
• Let the area enclosed between the curves |y|=1-x² and x²+y²=1 be α. If 9α=βπ+γ;β,γ are…
• Let S=N ∪{0}. Define a relation R from S to R by : R={(x, y): log ₑ y=x log ₑ(2/5), x ∈…
• Let the function f(x)=(x²-1)|x²-a x+2|+cos |x| be not differentiable at the two points…
• If the domain of the function log₅(18x - x² - 77) is (α, β) and the domain of the…
• Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3…
• Let A = [aᵢⱼ] be a 2 × 2 matrix such that aᵢⱼ ∈ {0, 1} for all i and j. Let the random…
• Let A=[aᵢⱼ] be a matrix of order 3 × 3, with aᵢⱼ=(√2)ⁱ⁺ʲ. If the sum of all the elements…
• If for the solution curve y=f(x) of the differential equation (d y)/(d x)+(tan x)…
• If 24 ∫₀^(π/4) [sin | 4x - π/12 | + [2 sin x] ] dx = 2π + α , where [·] denotes the…
• If lim _(t → 0)(∫₀¹(3 x+5)ᵗ d x)^(1/t)=α/(5 e)(8/5)^(2/3), then α is equal to…
• Let a straight line L pass through the point P(2, -1, 3) and be perpendicular to the…
• If the set of all a ∈ R, for which the equation 2 x²+(a-5) x+15=3 a has no real root, is…
• Let integers a, b ∈[-3,3] be such that a+b ≠ 0. Then the number of all possible ordered…
• If all the words with or without meaning made using all the letters of the word "KANPUR"…
• Let y²=12 x be the parabola and S be its focus. Let P Q be a focal chord of the parabola…
• The remainder, when 7¹⁰³ is divided by 23, is equal to:
• Let f(x)=∫₀ˣ t(t²-9 t+20) dt, 1 ≤ x ≤ 5. If the range of f is [α, β], then 4(α+β) equals :
• Let P be the foot of the perpendicular from the point (1,2,2) on the line L…
• Let a circle C pass through the points (4, 2) and (0, 2), and its centre lie on 3x + 2y…
• Let a₁, a₂, …, a₂₀₂₄ be an Arithmetic Progression such that…
• If α x+β y=109 is the equation of the chord of the ellipse x²/9+y²/4=1, whose mid point…
• If sin x+sin² x=1, x∈ (0,π/2), then (cos¹² x+tan¹² x)+3(cos¹⁰ x+tan¹⁰ x+cos⁸ x+tan⁸…

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