JEE Main 2024 (Online) 30th January Evening Shift — Question Paper

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Physics

• A power transmission line feeds input power at 2.3 kV to a step down transformer with…
• The current of 5 A flows in a square loop of sides 1 m is placed in air. The magnetic…
• A particle of charge '-q' and mass 'm' moves in a circle of radius 'r' around an…
• If mass is written as m=kc^PG^(-1/2)h^(1/2) then the value of P will be : (Constants…
• A block of ice at -10° C is slowly heated and converted to steam at 100° C. Which of the…
• In the given circuit, the voltage across load resistance (R_L) is :
• A block of mass m is placed on a surface having vertical crossection given by y=x² / 4…
• Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80 N as…
• Two discs of moment of inertia I₁=4 kg m² and I₂=2 kg m², about their central axes…
• An electron revolving in nᵗʰ Bohr orbit has magnetic moment μₙ. If μₙ ∝ nˣ, the value of…
• If three moles of monoatomic gas (γ=5/3) is mixed with two moles of a diatomic gas…
• For the photoelectric effect, the maximum kinetic energy (Eₖ) of the photoelectrons is…
• Two resistance of 100 Ω and 200 Ω are connected in series with a battery of 4 V and…
• A point source is emitting sound waves of intensity 16 × 10⁻⁸ Wm⁻² at the origin. The…
• Escape velocity of a body from earth is 11.2 km / s. If the radius of a planet be…
• A beam of unpolarised light of intensity I₀ is passed through a polaroid A and then…
• A big drop is formed by coalescing 1000 small identical drops of water. If E₁ be the…
• In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of…
• Match List I with List II List I | List II; (A) | Gauss's law of magnetostatics | (I) |…
• Two identical charged spheres are suspended by strings of equal lengths. The strings…
• In an experiment to measure the focal length (f) of a convex lens, the magnitude of…
• If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope…
• When a potential difference V is applied across a wire of resistance R, it dissipates…
• If the total energy transferred to a surface in time t is 6.48 × 10⁵ J, then the…
• A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of 60° by…
• An alternating voltage V(t)=220 sin 100 π t volt is applied to a purely resistive load…
• A simple pendulum is placed at a place where its distance from the earth's surface is…
• A vector has magnitude same as that of A⃗=3î+4ĵ and is parallel to B⃗=4î+3ĵ. The x and y…

Chemistry

• The correct stability order of carbocations is
• Given below are two statements: Statement - I: Along the period, the chemical reactivity…
• Number of complexes which show optical isomerism among the following is ________. cis-…
• Salicylaldehyde is synthesized from phenol, when reacted with
• Choose the correct statements about the hydrides of group 15 elements. A. The stability…
• The products A and B formed in the following reaction scheme are respectively
• The molecule / ion with square pyramidal shape is
• NO₂ required for a reaction is produced by decomposition of N₂ O₅ in CCl₄ as by equation…
• IUPAC name of following compound is : CH₃, -, CH, -, CH₂, -, CN; |; NH₂
• A and B formed in the following reactions are: CrO₂ Cl₂+4 NaOH → A+2 NaCl+2 H₂ O, ; A+2…
• Alkaline oxidative fusion of MnO₂ gives "A" which on electrolytic oxidation in alkaline…
• Total number of species from the following which can undergo disproportionation reaction…
• 2-chlorobutane +Cl₂ → C₄ H₈ Cl₂ (isomers) Total number of optically active isomers shown…
• Number of geometrical isomers possible for the given structure is/are _________.
• Number of spectral lines obtained in He⁺ spectra, when an electron makes transition from…
• The total number of correct statements, regarding the nucleic acids is _________. A. RNA…
• Which among the following purification methods is based on the principle of "Solubility"…
• m-chlorobenzaldehyde on treatment with 50% KOH solution yields :
• Given below are two statements: Statement - I: Since Fluorine is more electronegative…
• Number of metal ions characterized by flame test among the following is ________…
• Two reactions are given below: 2 Fe₍ₛ₎+3/2 O_(2( g)) → Fe₂ O₃₍ₛ₎, Δ H°=-822 kJ / mol…
• The coordination geometry around the manganese in decacarbonyldimanganese (0) is
• The solution from the following with highest depression in freezing point/lowest…
• Reduction potential of ions are given below: ClO₄⁻, IO₄⁻, BrO₄⁻; E°=1.19 V, E°=1.65 V…
• The orange colour of K₂ Cr₂ O₇ and purple colour of KMnO₄ is due to
• Given below are two statements: Statement - I: High concentration of strong nucleophilic…
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• The pH of an aqueous solution containing 1 M benzoic acid (pKₐ=4.20) and 1 M sodium…
• If a substance 'A' dissolves in solution of a mixture of 'B' and 'C' with their…

Mathematics

• Let y=f(x) be a thrice differentiable function in (-5,5). Let the tangents to the curve…
• Let R=(x, 0, 0; 0, y, 0; 0, 0, z) be a non-zero 3 × 3 matrix, where x sin θ=y sin (θ+(2…
• Let a⃗ and b⃗ be two vectors such that |b⃗|=1 and |b⃗ × a⃗|=2. Then |(b⃗ × a⃗)-b⃗|² is…
• The number of symmetric relations defined on the set {1,2,3,4} which are not reflexive…
• Let a and b be be two distinct positive real numbers. Let 11ᵗʰ term of a GP, whose first…
• Let f(x)=(x+3)²(x-2)³, x ∈[-4,4]. If M and m are the maximum and minimum values of f…
• Let f: ℝ-{0} → ℝ be a function satisfying f(x/y)=f(x)/f(y) for all x, y, f(y) ≠ 0. If…
• If the domain of the function f(x)=log ₑ((2 x+3)/(4 x²+x-3))+cos ⁻¹((2 x-1)/(x+2)) is…
• Let P be a point on the hyperbola H: x²/9-y²/4=1, in the first quadrant such that the…
• Consider the system of linear equations x+y+z=5, x+2 y+λ² z=9, x+3 y+λ z=μ, where λ, μ ∈…
• Consider two circles C₁: x²+y²=25 and C₂:(x-α)²+y²=16, where α ∈(5,9). Let the angle…
• Let a⃗=î+α ĵ+β k̂, α, β ∈ ℝ. Let a vector b⃗ be such that the angle between a⃗ and b⃗ is…
• If x²-y²+2hxy+2gx+2fy+c=0 is the locus of a point, which moves such that it is always…
• Let L₁: r⃗=(î-ĵ+2 k̂)+λ(î-ĵ+2 k̂), λ ∈ ℝ, L₂: r⃗=(ĵ-k̂)+μ(3 î+ĵ+p k̂), μ ∈ ℝ , and L₃…
• Let Sₙ be the sum to n-terms of an arithmetic progression 3,7,11, If 40<(6/n(n+1) Σk=1ⁿ…
• The variance σ² of the data xᵢ | 0 | 1 | 5 | 6 | 10 | 12 | 17; fᵢ | 3 | 2 | 3 | 2 | 6 |…
• Let f: ℝ → ℝ be a function defined by f(x)=x/(1+x⁴)^(1 / 4), and g(x)=f(f(f(f(x))))…
• Let a line passing through the point (-1,2,3) intersect the lines L₁…
• If z is a complex number, then the number of common roots of the equations…
• Let α=Σk=0ⁿ(( ⁿ Cₖ)²/(k+1)) and β=Σk=0ⁿ⁻¹((ⁿ Cₖ ⁿ Cₖ₊₁)/(k+2)) If 5 α=6 β, then n equals…
• Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is…
• For α,β∈ (0,π/2), let 3 sin (α+β)=2 sin (α-β) and a real number k be such that tan α=k…
• Let Y=Y(X) be a curve lying in the first quadrant such that the area enclosed by the…
• Let a and b be real constants such that the function f defined by f(x)={x²+3 x+a, , x ≤…
• In an examination of Mathematics paper, there are 20 questions of equal marks and the…
• Let A(α, 0) and B(0, β) be the points on the line 5 x+7 y=50. Let the point P divide the…
• The area of the region enclosed by the parabola (y-2)²=x-1, the line x-2y+4=0 and the…
• Let f: ℝ → ℝ be defined as f(x)=a e²ˣ+b eˣ+c x. If f(0)=-1, f′(log ₑ 2)=21 and ∫₀^(log ₑ…
• The number of real solutions of the equation x(x²+3|x|+5|x-1|+6|x-2|)=0 is _________.

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