JEE Main 2024 (Online) 1st February Evening Shift — Question Paper

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Physics

• A particle initially at rest starts moving from reference point x=0 along x-axis, with…
• In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The…
• A particular hydrogen-like ion emits the radiation of frequency 3 × 10¹⁵ Hz when it…
• A big drop is formed by coalescing 1000 small droplets of water. The surface energy will…
• In a metre-bridge when a resistance in the left gap is 2 Ω and unknown resistance in the…
• A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular…
• A diatomic gas (γ=1.4) does 200 J of work when it is expanded isobarically. The heat…
• One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other…
• In an electrical circuit drawn below the amount of charge stored in the capacitor is…
• Suppose a uniformly charged wall provides a uniform electric field of 2 × 10⁴ N / C…
• A transformer has an efficiency of 80 % and works at 10 V and 4 kW. If the secondary…
• If the root mean square velocity of hydrogen molecule at a given temperature and…
• To measure the temperature coefficient of resistivity α of a semiconductor, an…
• A coil of 200 turns and area 0.20 m² is rotated at half a revolution per second and is…
• A galvanometer (G) of 2 Ω resistance is connected in the given circuit. The ratio of…
• If frequency of electromagnetic wave is 60 MHz and it travels in air along z direction…
• A mass m is suspended from a spring of negligible mass and the system oscillates with a…
• C₁ and C₂ are two hollow concentric cubes enclosing charges 2 Q and 3 Q respectively as…
• A body of mass 4 kg experiences two forces F⃗₁=5 î+8 ĵ+7 k̂ and F⃗₂=3 î-4 ĵ-3 k̂. The…
• A light planet is revolving around a massive star in a circular orbit of radius R with a…
• Conductivity of a photodiode starts changing only if the wavelength of incident light is…
• Train A is moving along two parallel rail tracks towards north with speed 72 km / h and…
• From the statements given below : (A) The angular momentum of an electron in nᵗʰ orbit…
• Monochromatic light of frequency 6 × 10¹⁴ Hz is produced by a laser. The power emitted…
• Match List - I with List - II . List I (Number) | List II (Significant figure); (A) 1001…
• A moving coil galvanometer has 100 turns and each turn has an area of 2.0 cm². The…
• A cricket player catches a ball of mass 120 g moving with 25 m / s speed. If the…
• In an ammeter, 5 % of the main current passes through the galvanometer. If resistance of…
• A uniform rod A B of mass 2 kg and length 30 cm at rest on a smooth horizontal surface…

Chemistry

• Given below are two statements : Statement (I) : SiO₂ and GeO₂ are acidic while SnO and…
• Following Kjeldahl's method, 1 g of organic compound released ammonia, that neutralised…
• Which among the followng has highest boiling point?
• 10 mL of gaseous hydrocarbon on combustion gives 40 mL of CO₂( g) and 50 mL of water…
• Given below are two statements : Statement (I) : A π bonding MO has lower electron…
• The following data were obtained during the first order thermal decomposition of a gas A…
• Match List - I with List - II . List I (Reactants) | List II (Product); (A) Phenol, Zn/Δ…
• The amount of electricity in Coulomb required for the oxidation of 1 mol of H₂ O to O₂…
• Given below are two statements : Statement (I) : Dimethyl glyoxime forms a six-membered…
• Lassaigne's test is used for detection of :
• The set of meta directing functional groups from the following sets is :
• The strongest reducing agent among the following is :
• Select the compound from the following that will show intramolecular hydrogen bonding.
• Total number of isomeric compounds (including stereoisomers) formed by monochlorination…
• The transition metal having highest 3ʳᵈ ionisation enthalpy is :
• [Co(NH₃)₆]³⁺ and [CoF₆]³⁻ are respectively known as :
• Which of the following compounds show colour due to d-d transition?
• Solubility of calcium phosphate (molecular mass, M) in water is W_g per 100 mL at 25° C…
• Consider the following redox reaction : MnO₄⁻+H⁺+H₂ C₂ O₄ ⇌ Mn²⁺+H₂ O+CO₂ The standard…
• The functional group that shows negative resonance effect is :
• Match List - I with List - II. List I (Compound) | List II (Use); (A) Carbon…
• The number of radial node/s for 3 p orbital is :
• The number of tripeptides formed by three different amino acids using each amino acid…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Mass of ethylene glycol (antifreeze) to be added to 18.6 kg of water to protect the…
• Number of compounds which give reaction with Hinsberg's reagent is _________.
• Given below are two statements : Statement (I) : Both metals and non-metals exist in p…
• For a certain reaction at 300 K, K=10, then Δ G° for the same reaction is - ____________…

Mathematics

• Consider a △ A B C where A(1,3,2), B(-2,8,0) and C(3,6,7). If the angle bisector of ∠ B…
• The value of ∫₀¹(2 x³-3 x²-x+1)^(1/3) d x is equal to :
• Three points O(0,0),P(a,a²),Q(-b,b²),a>0, b>0, are on the parabola y=x². Let S₁ be the…
• Let a⃗=î+ĵ+k̂, b⃗=-î-8 ĵ+2 k̂ and c⃗=4 î+c₂ ĵ+c₃ k̂ be three vectors such that b⃗ ×…
• If z is a complex number such that |z| ≤ 1, then the minimum value of |z+1/2(3+4 i)| is :
• If the domain of the function f(x)=√(x²-25)/(4-x²)+log ₁₀(x²+2 x-15) is (-∞, α) ∪[β, ∞)…
• Consider the relations R₁ and R₂ defined as a R₁ b ⇔ a²+b²=1 for all a, b ∈ R and (a, b)…
• Let Ajay will not appear in JEE exam with probability p=2/7, while both Ajay and Vijay…
• Let Sₙ denote the sum of the first n terms of an arithmetic progression. If S₁₀=390 and…
• Let f(x)={x-1, x is even,; 2 x, x is odd, x ∈ N. If for some a ∈ N, f(f(f(a)))=21, then…
• If the mirror image of the point P(3,4,9) in the line (x-1)/3=(y+1)/2=(z-2)/1 is (α, β…
• If (d x)/(d y)=(1+x-y²)/y, x(1)=1, then 5 x(2) is equal to __________.
• Let the system of equations x+2 y+3 z=5,2 x+3 y+z=9,4 x+3 y+λ z=μ have infinite number…
• Let f(x)=|2 x²+5| x|-3|, x ∈ R. If m and n denote the number of points where f is not…
• Let m and n be the coefficients of seventh and thirteenth terms respectively in the…
• Let α and β be the roots of the equation p x²+q x-r=0, where p ≠ 0. If p, q and r be the…
• If y=(√x+1)(x²-√x)/(x √x+x+√x)+1/15(3 cos ² x-5) cos ³ x, then 96 y′(π/6) is equal to :
• Let A=I₂-2 M Mᵀ, where M is a real matrix of order 2 × 1 such that the relation Mᵀ M=I₁…
• Consider 10 observations x₁, x₂, …, x₁₀ such that Σᵢ₌₁¹⁰(xᵢ-α)=2 and Σᵢ₌₁¹⁰(xᵢ-β)²=40…
• The lines L₁, L₂,…,L₂₀ are distinct. For n=1,2,3,…,10 all the lines L₂ₙ₋₁ are parallel…
• Let P be a point on the ellipse x²/9+y²/4=1. Let the line passing through P and parallel…
• Let ABC be an isosceles triangle in which A is at (-1,0),∠ A=2π/3,AB=AC and B is on the…
• Let f:(0, ∞) → R and F(x)=∫₀ˣ t f(t) dt. If F(x²)=x⁴+x⁵, then Σᵣ₌₁¹² f(r²) is equal to…
• The number of solutions of the equation 4 sin ² x-4 cos ³ x+9-4 cos x=0 ; x ∈[-2 π, 2 π]…
• Let P and Q be the points on the line (x+3)/8=(y-4)/2=(z+1)/2 which are at a distance of…
• Let the locus of the midpoints of the chords of the circle x²+(y-1)²=1 drawn from the…
• If ∫₀^(π/3) cos ⁴ x d x=a π+b √3, where a and b are rational numbers, then 9 a+8 b is…
• If three successive terms of a G.P. with common ratio r(r>1) are the lengths of the…
• Let α be a non-zero real number. Suppose f: R → R is a differentiable function such that…
• The sum of squares of all possible values of k, for which area of the region bounded by…

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