JEE Main 2023 (Online) 6th April Evening Shift — Question Paper
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Physics
Chemistry
- Number of crystal systems from the following where body centred unit cell can be found…
- The standard reduction potentials at 298 K for the following half cells are given below…
- Which one of the following elements will remain as liquid inside pure boiling water?
- The IUPAC name of K₃[Co(C₂ O₄)₃] is:-
- Among the following, the number of compounds which will give positive iodoform reaction…
- During the reaction of permanganate with thiosulphate, the change in oxidation of…
- Element not present in Nessler's reagent is :
- The equilibrium composition for the reaction PCl₃+Cl₂⇌ PCl₅ at 298 K is given below…
- Given below are two statements: Statement I: Morphine is a narcotic analgesic. It helps…
- Consider the following pairs of solution which will be isotonic at the same temperature…
- Formation of which complex, among the following, is not a confirmatory test of Pb²⁺ ions :
- Ion having highest hydration enthalpy among the given alkaline earth metal ions is :
- The number of colloidal systems from the following, which will have 'liquid' as the…
- Given below are two statements: one is labelled as "Assertion A" and the other is…
- In an ice crystal, each water molecule is hydrogen bonded to ____________ neighbouring…
- Group-13 elements react with O₂ in amorphous form to form oxides of type M₂ O₃ (M=…
- From the figure of column chromatography given below, identify incorrect statements. A…
- Match List I with List II LIST I Natural Amino Acid | LIST II One Letter Code; A. |…
- Structures of BeCl₂ in solid state, vapour phase and at very high temperature…
- The product, which is not obtained during the electrolysis of brine solution is :
- If the radius of the first orbit of hydrogen atom is α₀, then de Broglie's wavelength of…
- Consider the following data Heat of combustion of H₂(g) =-241.8 kJ mol⁻¹ Heat of…
- The strongest acid from the following is
- The number of species having a square planar shape from the following is __________…
- The group of chemicals used as pesticide is :
- The volume of 0.02 M aqueous HBr required to neutralize 10.0 mL of 0.01 M aqueous…
Mathematics
- If the solution curve f(x, y)=0 of the differential equation (1+log ₑ x) (d x)/(d y)-x…
- If gcd (m, n)=1 and 1²-2²+3²-4²+… . .+(2021)²-(2022)²+(2023)²=1012 m² n then m²-n² is…
- If (20)¹⁹+2(21)(20)¹⁸+3(21)²(20)¹⁷+…+20(21)¹⁹=k(20)¹⁹, then k is equal to ___________.
- Let the eccentricity of an ellipse x²/a²+y²/b²=1 is reciprocal to that of the hyperbola…
- Let f(x) be a function satisfying f(x)+f(π-x)=π², ∀ x ∈ ℝ. Then ∫0^π f(x) sin x d x is…
- The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2…
- For the system of equations x+y+z=6 x+2 y+α z=10 x+3 y+5 z=β, which one of the following…
- The value of tan 9°-tan 27°-tan 63°+tan 81° is __________.
- The area bounded by the curves y=|x-1|+|x-2| and y=3 is equal to :
- Let a curve y=f(x), x ∈(0, ∞) pass through the points P(1, 3/2) and Q(a, 1/2). If the…
- A plane P contains the line of intersection of the plane r⃗ ·(î+ĵ+k̂)=6 and r⃗ ·(2 î+3…
- In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at…
- Let a ≠ b be two non-zero real numbers. Then the number of elements in the set X={z ∈ ℂ…
- The sum of all values of α, for which the points whose position vectors are î-2 ĵ+3 k̂…
- If the mean and variance of the frequency distribution xᵢ | 2 | 4 | 6 | 8 | 10 | 12 | 14…
- Three dice are rolled. If the probability of getting different numbers on the three dice…
- If the tangents at the points P and Q on the circle x²+y²-2 x+y=5 meet at the point…
- Let P be a square matrix such that P²=I-P. For α, β, γ, δ ∈ ℕ, if P^α+P^β=γ I-29 P and…
- For α, β, z ∈ ℂ and λ > 1, if √(λ-1) is the radius of the circle |z-α|²+|z-β|²=2 λ, then…
- Let the line L pass through the point (0,1,2), intersect the line…
- The number of points, where the curve y=x⁵-20 x³+50 x+2 crosses the x-axis, is…
- Let the vectors a⃗, b⃗, c⃗ represent three coterminous edges of a parallelopiped of…
- Among the statements : (S1) : 2023²⁰²²-1999²⁰²² is divisible by 8 (S2) : 13(13)ⁿ-12 n-13…
- If the coefficient of x⁷ in ( ax² + 1/2bx )¹¹ and x⁻⁷ in ( ax - 1/3bx² )¹¹ are equal…
- lim n → ∞{(2^(1/2)-2^(1/3))(2^(1/2)-2^(1/5)) … . .(2^(1/2)-2^(1/(2 n+1)))} is equal to :
- If the lines (x-1)/2=(2-y)/-3=(z-3)/α and (x-4)/5=(y-1)/2=z/β intersect, then the…
- Let f(x)=x/(1+xⁿ)^(1/n), x ∈ ℝ-{-1}, n ∈ ℕ, n > 2. If fⁿ(x)=(f ° f ° f … .. upto n…
- Let the sets A and B denote the domain and range respectively of the function f(x)=1/√(⌈…
- All the letters of the word PUBLIC are written in all possible orders and these words…
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