JEE Main 2024 (Online) 5th April Evening Shift — Question Paper

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Physics

• The vehicles carrying inflammable fluids usually have metallic chains touching the ground:
• A heavy box of mass 50 kg is moving on a horizontal surface. If co-efficient of kinetic…
• The electric field at point p due to an electric dipole is E. The electric field at…
• A vernier callipers has 20 divisions on the vernier scale, which coincides with 19ᵗʰ…
• A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when…
• The ratio of heat dissipated per second through the resistance 5 Ω and 10 Ω in the…
• The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum…
• A man carrying a monkey on his shoulder does cycling smoothly on a circular track of…
• The output (Y) of logic circuit given below is 0 only when :
• A galvanometer of resistance 100 Ω when connected in series with 400 Ω measures a…
• A particle moves in x-y plane under the influence of a force F⃗ such that its linear…
• If n is the number density and d is the diameter of the molecule, then the average…
• A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of…
• The maximum height reached by a projectile is 64 m. If the initial velocity is halved…
• The current in an inductor is given by I=(3 t+8) where t is in second. The magnitude of…
• What is the dimensional formula of ab⁻¹ in the equation (P+a/V²)(V-b)=RT, where letters…
• The electrostatic force (F₁⃗) and magnetic force (F⃗₂) acting on a charge q moving with…
• A wire of resistance 20 Ω is divided into 10 equal parts, resulting pairs. A combination…
• A body is moving unidirectionally under the influence of a constant power source. Its…
• Match List I with List II : LIST I EM-Wave | LIST II Wavelength Range; A. | Infra-red |…
• Given below are two statements : Statement I : When the white light passed through a…
• A satellite revolving around a planet in stationary orbit has time period 6 hours. The…
• In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes…
• A hydraulic press containing water has two arms with diameters as mentioned in the…
• A series LCR circuit is subjected to an ac signal of 200 V, 50 Hz. If the voltage across…
• The angular momentum of an electron in a hydrogen atom is proportional to : (Where r is…
• A solenoid of length 0.5 m has a radius of 1 cm and is made up of 'm' number of turns…
• Which of the following statement is not true about stopping potential (V₀) ?
• During an adiabatic process, if the pressure of a gas is found to be proportional to the…

Chemistry

• CH₃CH₂-OH →(iii) NaOH, CaO, Δ](i) Jone's Reagent P Consider the above reaction sequence…
• In an atom, total number of electrons having quantum numbers n=4,| mₗ|=1 and mₛ=-1/2 is…
• The number of ions from the following that have the ability to liberate hydrogen from a…
• While preparing crystals of Mohr's salt, dil H₂ SO₄ is added to a mixture of ferrous…
• The correct nomenclature for the following compound is :
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Coagulation of egg, on heating is because of :
• Using the given figure, the ratio of R_f values of sample A and sample C is x× 10⁻²…
• Number of compounds from the following with zero dipole moment is _________. HF, H₂, H₂…
• Given below are two statements : Statement I : On passing HCl_((g)) through a saturated…
• Match List I with List II. LIST I | LIST II ; A. | ICl | I. | T - shape; B. | ICl₃ | II…
• The number of complexes from the following with no electrons in the t₂ orbital is…
• In the Claisen-Schmidt reaction to prepare 351 g of dibenzalacetone using 87 g of…
• Considering acetic acid dissociates in water, its dissociation constant is 6.25 × 10⁻⁵…
• Consider the following single step reaction in gas phase at constant temperature. 2…
• X g of ethanamine was subjected to reaction with NaNO₂/HCl followed by hydrolysis to…
• For the electro chemical cell M|M²⁺||X| X²⁻ If E_((M²⁺ / M))⁰=0.46 V and E_((x /…
• Combustion of 1 mole of benzene is expressed at C₆ H₆(l)+15/2 O₂( g) → 6 CO₂( g)+3 H₂…
• Given below are two statements : Statement I : The metallic radius of Na is 1.86 A° and…
• The number of moles of methane required to produce 11 g CO₂(g) after complete combustion…
• The fusion of chromite ore with sodium carbonate in the presence of air leads to the…
• Match List - I with List - II. LIST I (Pair of Compounds) | LIST II (Isomerism); A. |…
• The metal atom present in the complex MABXL (where A, B, X and L are unidentate ligands…
• The quantity of silver deposited when one coulomb charge is passed through AgNO₃…
• The correct statements from the following are : (A) The decreasing order of atomic radii…

Mathematics

• Let the set S={2,4,8,16, …, 512} be partitioned into 3 sets A, B, C with equal number of…
• Let (α, β, γ) be the image of the point (8,5,7) in the line (x-1)/2=(y+1)/3=(z-2)/5…
• Let a>0 be a root of the equation 2 x²+x-2=0. If lim x → 1/a 16(1-cos (2+x-2 x²))/(1-a…
• The values of m, n, for which the system of equations x+y+z=4, ; 2 x+5 y+5 z=17, ; x+2…
• The number of solutions of sin ² x+(2+2 x-x²) sin x-3(x-1)²=0, where -π ≤ x ≤ π, is…
• Let the circle C₁: x²+y²-2(x+y)+1=0 and C₂ be a circle having centre at (-1,0) and…
• If 1+(√3-√2)/(2 √3)+(5-2 √6)/18+(9 √3-11 √2)/(36 √3)+(49-20 √6)/180+… upto…
• Let ,f:[-1,2] → R be given by f(x)=2 x²+x+[x²]-[x], where [t] denotes the greatest…
• The differential equation of the family of circles passing through the origin and having…
• Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the…
• Let S₁={z ∈ C:|z| ≤ 5}, S₂={z ∈ C: Im((z+1-√3 i)/(1-√3 i)) ≥ 0} and S₃={z ∈ C: Re(z) ≥…
• If the constant term in the expansion of (⁵√3/x+(2 x)/∛5)¹², x ≠ 0, is α × 2⁸ × ⁵√3…
• Let the mean and the standard deviation of the probability distribution X | α | 1 | 0 |…
• 60 words can be made using all the letters of the word BHBJO, with or without meaning…
• Let the point (-1, α, β) lie on the line of the shortest distance between the lines…
• Let β(m, n)=∫0¹ xᵐ⁻¹(1-x)ⁿ⁻¹ d x, m, n>0. If ∫0¹(1-x¹⁰)²⁰ d x=a × β(b, c), then…
• The coefficients a, b, c in the quadratic equation a x²+bx+c=0 are from the set…
• If y(θ)=(2 cos θ+cos 2 θ)/(cos 3 θ+4 cos 2 θ+5 cos θ+2), then at θ=π/2, y^(′ ′)+y′+y is…
• Let α β ≠ 0 and A=[β, α, 3; α, α, β; -β, α, 2 α]. If B=[3 α, -9, 3 α; -α, 7, -2 α; -2 α…
• Consider three vectors a⃗, b⃗, c⃗. Let |a⃗|=2,|b⃗|=3 and a⃗=b⃗ × c⃗. If α ∈[0, π/3] is…
• Let f, g: R → R be defined as : f(x)=|x-1| and g(x)= eˣ, x ≥ 0 ; x+1, x ≤ 0 . Then the…
• Let a⃗=2 î+5 ĵ-k̂, b⃗=2 î-2 ĵ+2 k̂ and c⃗ be three vectors such that (c⃗+î)…
• Let A(-1,1) and B(2,3) be two points and P be a variable point above the line AB such…
• Let a line perpendicular to the line 2 x-y=10 touch the parabola y²=4(x-9) at the point…
• The area enclosed between the curves y=x|x| and y=x-|x| is :
• Let y=y(x) be the solution of the differential equation (d y)/(d x)+(2 x)/(1+x²)² y=x…
• If f(t)=∫0^π (2 x d x)/(1-cos ² t sin ² x), 0<t<π, then the value of ∫0^(π/2) (π²…
• For x ≥ 0, the least value of K, for which 4¹⁺ˣ+4¹⁻ˣ, K/2, 16ˣ+16⁻ˣ are three…

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