JEE Main 2025 (Online) 23rd January Evening Shift — Question Paper

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Physics

• In photoelectric effect an em-wave is incident on a metal surface and electrons are…
• Water flows in a horizontal pipe whose one end is closed with a valve. The reading of…
• The refractive index of the material of a glass prism is √3. The angle of minimum…
• Two point charges -4 μ c and 4 μ c, constituting an electric dipole, are placed at…
• A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• Two charges 7 μ c and -4 μ c are placed at (-7 cm, 0,0) and (7 cm, 0,0) respectively…
• Water of mass m gram is slowly heated to increase the temperature from T₁ to T_γ. The…
• The energy of a system is given as E(t)=α³e^(-β t), where t is the time and β=0.3 s⁻¹…
• A ball having kinetic energy KE, is projected at an angle of 60° from the horizontal…
• A satellite of mass M/2 is revolving around earth in a circular orbit at a height of R/3…
• A concave mirror of focal length f in air is dipped in a liquid of refractive index μ…
• The width of one of the two slits in Young's double slit experiment is d while that of…
• A massless spring gets elongated by amount x₁ under a tension of 5 N . Its elongation is…
• The equation of a transverse wave travelling along a string is y(x, t)=4.0 sin [20 ×…
• A circular disk of radius R meter and mass M kg is rotating around the axis…
• Using the given P-V diagram, the work done by an ideal gas along the path A B C D is :
• If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is…
• A time varying potential difference is applied between the plates of a parallel plate…
• In a series LCR circuit, a resistor of 300 Ω, a capacitor of 25 nF and an inductor of…
• At steady state the charge on the capacitor, as shown in the circuit below, is _________…
• What is the current through the battery in the circuit shown below?
• An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a…
• A galvanometer having a coil of resistance 30 Ω need 20 mA of current for full-scale…
• Match List - I with List - II List - I | List - II; (A) | Permeability of free space |…

Chemistry

• The effect of temperature on spontaneity of reactions are represented as : ΔH | ΔS |…
• Match List - I with List - II List - I | List - II; (A) | Bronze | (I) | Cu, Ni; (B) |…
• Identify A, B and C in the given below reaction sequence A, →(HNO₃), Pb(NO₃)₂, →(H₂SO₄)…
• The ascending order of relative rate of solvolysis of following compounds is :
• Given below are the atomic numbers of some group 14 elements. The atomic number of the…
• pH of water is 7 at 25° C. If water is heated to 80° C., it's pH will :
• 0.01 mole of an organic compound (X) containing 10 % hydrogen, on complete combustion…
• Consider the reaction X₂Y( g)⇌ X₂( g)+1/2Y₂( g) The equation representing correct…
• Identify the coordination complexes in which the central metal ion has d⁴ configuration…
• Given below are two statements : Statement (I) : For a given shell, the total number of…
• The α-Helix and β - Pleated sheet structures of protein are associated with its :
• The bond dissociation enthalpy of X₂ Δ H_(bond)° calculated from the given data is…
• Consider the following sequence of reactions. Total number of sp³ hybridised carbon…
• Standard electrode potentials for a few half cells are mentioned below : E_(Cu²⁺ /…
• When a non-volatile solute is added to the solvent, the vapour pressure of the solvent…
• Given below are two statements : Statement (I) : The boiling points of alcohols and…
• Which of the following graphs most appropriately represents a zero order reaction?
• Consider the following reactions K₂ Cr₂ O₇ →(KOH)[ A] →(H₂ SO₄)[ B]+K₂ SO₄ The products…
• Given below are two statements: Consider the following reaction R-C(∥)(O)-R + H₂O ⇌(K)…
• A compound ' X′ absorbs 2 moles of hydrogen and ' X ' upon oxidation with KMnO₄ | H⁺…
• Consider a binary solution of two volatile liquid components 1 and 2 . x₁ and y₁ are the…
• When 81.0 g of aluminium is allowed to react with 128.0 g of oxygen gas, the mass of…
• Given below are two statements about X-ray spectra of elements : Statement (I) : A plot…

Mathematics

• Let the shortest distance from (a, 0), a>0, to the parabola y²=4 x be 4 . Then the…
• Let X=R × R. Define a relation R on X as : (a₁, b₁) R(a₂, b₂) ⇔ b₁=b₂ Statement I: R is…
• If I=∫₀^(π/2) (sin ^(3/2) x)/(sin ^(3/2) x+cos ^(3/2) x) d x, then ∫₀^(2I) (x sin x cos…
• The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit…
• The roots of the quadratic equation 3 x²-p x+q=0 are 10ᵗʰ and 11ᵗʰ terms of an…
• The distance of the line (x-2)/2=(y-6)/3=(z-3)/4 from the point (1,4,0) along the line…
• A rod of length eight units moves such that its ends A and B always lie on the lines…
• The focus of the parabola y²=4 x+16 is the centre of the circle C of radius 5 . If the…
• The length of the chord of the ellipse x²/4+y²/2=1, whose mid-point is (1, 1/2), is :
• A board has 16 squares as shown in the figure : Out of these 16 squares, two squares are…
• Let A={(x, y) ∈ R × R:|x+y| ≥ 3} and B={(x, y) ∈ R × R:|x|+|y| ≤ 3}. If C={(x, y) ∈ A ∩…
• lim _(x → ∞) (2 x²-3 x+5)(3 x-1)^(x/2)/((3 x²+5 x+4) √(3 x+2)ˣ) is equal to :
• Let the range of the function f(x)=6+16 cos x· cos (π/3-x)· cos (π/3+x)· sin 3x· cos…
• The system of equations x+y+z=6, ; x+2 y+5 z=9, ; x+5 y+λ z=μ, has no solution if
• The number of complex numbers z, satisfying |z|=1 and |z/z̄+z̄/z|=1, is :
• If the square of the shortest distance between the lines (x-2)/1=(y-1)/2=(z+3)/-3 and…
• Let x=x(y) be the solution of the differential equation y=(x-y (d x)/(d y)) sin (x/y)…
• The variance of the numbers 8,21,34,47, …, 320 is _______.
• A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When…
• Let A=[aᵢⱼ] be a 3 × 3 matrix such that A[0; 1; 0]=[0; 0; 1], A[4; 1; 3]=[0; 1; 0] and…
• If in the expansion of (1+x)ᵖ(1-x)^q, the coefficients of x and x² are 1 and -2…
• Let ∫ x³sin x dx=g(x)+C, where C is the constant of integration. If…
• If the area of the region {(x,y):-1≤ x≤ 1,0≤ y≤ a+e^(|x|)-e⁻ˣ,a>0} is (e²+8e+1)/e, then…
• Let α, β be the roots of the equation x²-ax-b=0 with Im(α)<Im(β). Let Pₙ=αⁿ-βⁿ. If P₃=-5…
• Let the point A divide the line segment joining the points P(-1,-1,2) and Q(5,5,10)…

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