JEE Main 2022 (Online) 28th June Evening Shift — Question Paper
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Physics
Chemistry
- Given below are two statements, one is Assertion (A) and other is Reason (R). Assertion…
- Match List - I with List - II : List-I (Oxide) | List-II (Nature); (A) | Cl₂O₇ | (I) |…
- A radioactive element has a half life of 200 days. The percentage of original activity…
- Compound A contains 8.7% Hydrogen, 74% Carbon and 17.3% Nitrogen. The molecular formula…
- 0.01 M KMnO₄ solution was added to 20.0 mL of 0.05 M Mohr's salt solution through a…
- The complete combustion of 0.492 g of an organic compound containing 'C', 'H' and 'O'…
- When sugar 'X' is boiled with dilute H₂SO₄ in alcoholic solution, two isomers 'A' and…
- In the structure of SF₄, the lone pair of electrons on S is in.
- Isobutyraldehyde on reaction with formaldehyde and K₂CO₃ gives compound 'A'. Compound…
- Which of the following oxoacids of sulphur contains "S" in two different oxidation states?
- Consider the following statements : (A) The principal quantum number 'n' is a positive…
- 2.5 g of protein containing only glycine (C₂H₅NO₂) is dissolved in water to make 500 mL…
- (a) CoCl₃.4NH₃, (b) CoCl₃.5NH₃, (c) CoCl₃.6NH₃ and (d) CoCl(NO₃)₂.5NH₃. Number of…
- For the given reactions Sn²⁺ + 2e⁻ → Sn Sn⁴⁺ + 4e⁻ → Sn the electrode potentials are…
- With respect to the following reaction, consider the given statements : (A)…
- For combustion of one mole of magnesium in an open container at 300 K and 1 bar…
- [Fe(CN)₆]⁴⁻ [Fe(CN)₆]³⁻ [Ti(CN)₆]³⁻ [Ni(CN)₄]²⁻ [Co(CN)₆]³⁻ Among the given complexes…
- A student needs to prepare a buffer solution of propanoic acid and its sodium salt with…
- Among the given oxides of nitrogen ; N₂O, N₂O₃, N₂O₄ and N₂O₅, the number of…
- Among the following, basic oxide is :
- The drug tegamet is :
- Hydrogen has three isotopes : protium (¹H), deuterium (²H or D) and tritium (³H or T)…
- In the metallurgical extraction of copper, following reaction is used : FeO + SiO₂ →…
- The correct IUPAC name of the following compound is :
- Match List - I with List - II : List-I | List-II; (A) | negatively charged sol | (I) |…
Mathematics
- Suppose a class has 7 students. The average marks of these students in the mathematics…
- The number of ways to distribute 30 identical candies among four children C₁, C₂, C₃ and…
- Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus…
- Let f : R → R be a continuous function satisfying f(x) + f(x + k) = n, for all x ∈ R…
- Let x = x(y) be the solution of the differential equation 2y e^(x/y²)dx + ( y² -…
- Let the plane ax + by + cz = d pass through (2, 3, -5) and is perpendicular to the…
- The probability that a randomly chosen one-one function from the set a, b, c, d to the…
- Sum of squares of modulus of all the complex numbers z satisfying z̅ = iz² + z² - z is…
- If the system of linear equations 2x - 3y = γ + 5, α x + 5y = β + 1, where α, β, γ ∈ R…
- If one of the diameters of the circle x² + y² - 2√2 x - 6√2 y + 14 = 0 is a chord of the…
- If n arithmetic means are inserted between a and 100 such that the ratio of the first…
- If cotα = 1 and secβ = -5/3, where π<α<3π/2 and π/2<β<π, then the value of tan (α+β) and…
- The value of lim _(n → ∞) 6 tan { Σᵣ₌₁ⁿ tan ⁻¹( 1/(r² + 3r + 3) ) } is equal to :
- Let the image of the point P(1, 2, 3) in the line L:(x - 6)/3 = (y - 1)/2 = (z - 2)/3 be…
- Let a⃗ be a vector which is perpendicular to the vector 3î + 1/2ĵ + 2k̂. If a⃗ × ( 2î +…
- Let f : R → R be a differentiable function such that f( π/4 ) = √2 , f( π/2 ) = 0 and…
- Let S = 1, 2, 3, 4. Then the number of elements in the set f : S × S → S : f is onto and…
- If vertex of a parabola is (2, -1) and the equation of its directrix is 4x - 3y = 21…
- Let f(x) be a quadratic polynomial such that f(-2) + f(3) = 0. If one of the roots of…
- Let for n = 1, 2, ......, 50, Sₙ be the sum of the infinite geometric progression whose…
- Let f, g : R → R be functions defined by f(x) = { [x], ,, x < 0; |1 - x|, ,, x ≥ 0 and…
- Let a triangle be bounded by the lines L₁ : 2x + 5y = 10; L₂ : -4x + 3y = 12 and the…
- The area of the bounded region enclosed by the curve y=3-|x-1/2|-|x+1| and the x-axis is :
- If lim _(x → 1) (sin (3x² - 4x + 1) - x² + 1)/(2x³ - 7x² + ax + b) = - 2, then the value…
- Let R₁ = (a, b) ∈ N × N : |a - b| ≤ 13 and R₂ = (a, b) ∈ N × N : |a - b| ≠ 13. Then on N :
- Let A = ( 1 + i, 1; - i, 0 ) where i = √(- 1). Then, the number of elements in the set n…
- Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 tan x(cos x -…
- The term independent of x in the expansion of (1 - x² + 3x³)( 5/2x³ - 1/5x² )¹¹, x ≠ 0…
- Let a⃗ = α î + 2ĵ - k̂ and b⃗ = - 2î + α ĵ + k̂, where α ∈ R. If the area of the…
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