JEE Main 2024 (Online) 6th April Evening Shift — Question Paper

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Physics

• In a coil, the current changes from -2 A to +2 A in 0.2 s and induces an emf of 0.1 V…
• Energy of 10 non rigid diatomic molecules at temperature T is :
• In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is…
• Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the…
• Two identical conducting spheres P and S with charge Q on each, repel each other with a…
• In finding out refractive index of glass slab the following observations were made…
• A coil having 100 turns, area of 5 × 10⁻³ m², carrying current of 1 mA is placed in…
• Three balls of masses 2 kg, 4 kg and 6 kg respectively are arranged at centre of the…
• The number of electrons flowing per second in the filament of a 110 W bulb operating at…
• The longest wavelength associated with Paschen series is : (Given R_H=1.097 × 10⁷ SI unit)
• For a given series LCR circuit it is found that maximum current is drawn when value of…
• Given below are two statements: Statement (I) : Dimensions of specific heat is [L² T⁻²…
• A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature…
• A body of weight 200 N is suspended from a tree branch through a chain of mass 10 kg…
• When UV light of wavelength 300 nm is incident on the metal surface having work function…
• A capacitor of 10 μ F capacitance whose plates are separated by 10 mm through air and…
• Pressure inside a soap bubble is greater than the pressure outside by an amount : (given…
• Two coherent monochromatic light beams of intensities I and 4 I are superimposed. The…
• For the thin convex lens, the radii of curvature are at 15 cm and 30 cm respectively…
• A body projected vertically upwards with a certain speed from the top of a tower reaches…
• Two open organ pipes of lengths 60 cm and 90 cm resonate at 6ᵗʰ and 5ᵗʰ harmonics…
• A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking…
• A wire of cross sectional area A, modulus of elasticity 2 × 10¹¹ Nm⁻² and length 2 m is…
• A particle moves in a straight line so that its displacement x at any time t is given by…
• In the given figure an ammeter A consists of a 240 Ω coil connected in parallel to a 10…
• In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts…
• In the given electromagnetic wave E_y=600 sin (ω t-kx) Vm⁻¹, intensity of the associated…
• The acceptor level of a p-type semiconductor is 6 eV. The maximum wavelength of light…
• When kinetic energy of a body becomes 36 times of its original value, the percentage…

Chemistry

• During the detection of acidic radical present in a salt, a student gets a pale yellow…
• The ratio of number of oxygen atoms to bromine atoms in the product Q is _________ × 10⁻¹.
• The correct statement among the following, for a "chromatography" purification method is :
• The ratio K_P/K_C for the reaction : CO_((g))+1/2O_(2( g))⇌ CO_(2( g)) is :
• How can an electrochemical cell be converted into an electrolytic cell ?
• The incorrect statements regarding enzymes are : (A) Enzymes are biocatalysts. (B)…
• Consider the two different first order reactions given below A+B → C (Reaction 1) ; P →…
• Match List I with List II. LIST I Reaction | LIST II Type of redox reaction; A. | N_(2(…
• The correct arrangement for decreasing order of electrophilic substitution for above…
• Match List I with List II. LIST I Tetrahedral Complex | LIST II Electronic…
• Match List I with List II. LIST I Alkali Metal | LIST II Emission Wavelength in nm; A. |…
• Among VO₂⁺, MnO₄⁻ and Cr₂ O₇²⁻, the spin-only magnetic moment value of the species with…
• Arrange the following elements in the increasing order of number of unpaired electrons…
• For the reaction at 298 K, 2 A+B → C, Δ H=400 kJ mol⁻¹ and Δ S=0.2 kJ mol⁻¹ K⁻¹. The…
• When 'x' × 10⁻² mL methanol (molar mass =32 g' density =0.792 g / cm³) is added to 100…
• The incorrect statement regarding the geometrical isomers of 2-butene is :
• The number of ions from the following that are expected to behave as oxidising agent is…
• Molality (m) of 3 M aqueous solution of NaCl is : (Given : Density of solution =1.25 g…
• For hydrogen atom, energy of an electron in first excited state is -3.4 eV, K . E. of…
• Evaluate the following statements related to group 14 elements for their correctness…
• Total number of species from the following with central atom utilising sp² hybrid…
• Given below are two statements : Statement I : PF₅ and BrF₅ both exhibit sp³ d…
• The correct IUPAC name of [PtBr₂(PMe₃)₂] is :
• Consider the following reactions NiS + HNO₃ + HCl → A + NO + S + H₂O; A + NH₄OH + H₃C-…
• Identify the product A in the following reaction.

Mathematics

• In a triangle ABC,BC=7,AC=8,AB=α∈ N and cos A=2/3. If 49 cos (3C)+42=m/n, where gcd…
• Let α, β be roots of x²+√2 x-8=0. If Uₙ=αⁿ+βⁿ, then (U₁₀+√2 U₉)/(2 U₈) is equal to…
• If the function f(x)=(1/x)²ˣ ; x>0 attains the maximum value at x=1/e then :
• If A is a square matrix of order 3 such that det(A)=3 and det(adj(-4 adj(-3 adj(3 adj((2…
• Let [t] denote the greatest integer less than or equal to t. Let f:[0, ∞) → R be a…
• If the solution y(x) of the given differential equation (eʸ+1) cos x d x+eʸ sin x d y=0…
• If the shortest distance between the lines (x-λ)/3=(y-2)/-1=(z-1)/1 and…
• The length of the latus rectum and directrices of hyperbola with eccentricity e are 9…
• If three letters can be posted to any one of the 5 different addresses, then the…
• Suppose the solution of the differential equation (d y)/(d x)=((2+α) x-β y+2)/(β x-2 α…
• A software company sets up m number of computer systems to finish an assignment in 17…
• Let A={1,2,3,4,5}. Let R be a relation on A defined by x R y if and only if 4 x ≤ 5 y…
• If the area of the region {(x,y):a/x²≤ y≤ 1/x,1≤ x≤ 2,0<a<1} is (logₑ 2)-1/7 then the…
• lim n → ∞ ((1²-1)(n-1)+(2²-2)(n-2)+…+((n-1)²-(n-1)) · 1)/((1³+2³+… …+n³)-(1²+2²+… …+n²))…
• Let 0 ≤ r ≤ n. If ⁿ⁺¹ Cᵣ₊₁: ⁿ Cᵣ: ⁿ⁻¹ Cᵣ₋₁=55: 35: 21, then 2 n+5 r is equal to :
• If all the words with or without meaning made using all the letters of the word "NAGPUR"…
• Let [t] denote the largest integer less than or equal to t. If ∫0³([x²]+[x²/2]) d x=a+b…
• If ∫ 1/(a²sin² x+b²cos² x) dx=1/12 tan⁻¹(3 tan x)+ constant, then the maximum value of a…
• If the locus of the point, whose distances from the point (2,1) and (1,3) are in the…
• Let f(x)=1/(7-sin 5 x) be a function defined on R. Then the range of the function f(x)…
• If the system of equations 2 x+7 y+λ z=3 ; 3 x+2 y+5 z=4 ; x+μ y+32 z=-1 has infinitely…
• If z₁, z₂ are two distinct complex number such that |(z₁-2 z₂)/(1/2-z₁ z̄₂)|=2, then
• Let a⃗=2 î+ĵ-k̂, b⃗=((a⃗ ×(î+ĵ)) × î) × î. Then the square of the projection of a⃗ on b⃗…
• If S(x)=(1+x)+2(1+x)²+3(1+x)³+…+60(1+x)⁶⁰, x ≠ 0, and (60)² S(60)=a(b)ᵇ+b, where a, b ∈…
• From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random…
• Suppose for a differentiable function h, h(0)=0, h(1)=1 and h′(0)=h′(1)=2. If g(x)=h(eˣ)…
• Let A B C be an equilateral triangle. A new triangle is formed by joining the middle…
• Let a⃗=6 î+ĵ-k̂ and b⃗=î+ĵ. If c⃗ is a is vector such that |c⃗| ≥ 6, a⃗ ·…
• Let P(α, β, γ) be the image of the point Q(3,-3,1) in the line (x-0)/1=(y-3)/1=(z-1)/-1…

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