JEE Main 2022 (Online) 29th July Morning Shift — Question Paper
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Physics
Chemistry
- The reaction between X and Y is first order with respect to X and zero order with…
- Which of the following compounds is an example of hypnotic drug?
- Considering the above reactions, the compound 'A' and compound 'B' respectively are :
- The first ionization enthalpy of Na, Mg and Si, respectively, are : 496, 737 and 786 kJ…
- The minimum uncertainty in the speed of an electron in an one dimensional region of…
- Which among the following represent reagent 'A'?
- 100 mL of 5 % (w / v) solution of NaCl in water was prepared in 250 mL beaker. Albumin…
- Which among the following is the strongest Bronsted base?
- In neutral or faintly alkaline medium, KMnO₄ being a powerful oxidant can oxidize…
- Number of lone pairs of electrons in the central atom of SCl₂, O₃, ClF₃ and SF₆…
- Consider the following reaction sequence: The product 'B' is :
- Consider the above reaction, the compound 'A' is :
- When 600 mL of 0.2 M HNO₃ is mixed with 400 mL of 0.1 M NaOH solution in a flask, the…
- In following pairs, the one in which both transition metal ions are colourless is :
- N_(2( g))+3 H_(2( g)) ⇌ 2 NH_(3( g)) 20 g 5 g Consider the above reaction, the limiting…
- If O₂ gas is bubbled through water at 303 K, the number of millimoles of O₂ gas that…
- Which of the following pair of molecules contain odd electron molecule and an expanded…
- In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27%…
- In metallurgy the term "gangue" is used for :
- Lithium nitrate and sodium nitrate, when heated separately, respectively, give :
- The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives :
- Resistance of a conductivity cell (cell constant 129 m⁻¹) filled with 74.5 ppm solution…
- A compound 'X' is acidic and it is soluble in NaOH solution, but insoluble in NaHCO₃…
- [Fe(CN)₆]³⁻ should be an inner orbital complex. Ignoring the pairing energy, the value…
- Which among the following pairs of the structures will give different products on…
- In a linear tetrapeptide (Constituted with different amino acids), (number of amino…
- If the solubility product of PbS is 8 × 10⁻²⁸, then the solubility of PbS in pure water…
- Ionic radii of cation A⁺ and anion B⁻ are 102 and 181 pm respectively. These ions are…
Mathematics
- Let the ratio of the fifth term from the beginning to the fifth term from the end in the…
- If f(α)=∫₁^α (log ₁₀ t)/(1+t) dt, α>0, then f(e³)+f(e⁻³) is equal to :
- Let a and b be two unit vectors such that the angle between them is π/4. If θ is the…
- If the foot of the perpendicular from the point A(-1,4,3) on the plane P: 2 x+m y+n z=4…
- Let A and B be two 3 × 3 non-zero real matrices such that AB is a zero matrix. Then
- Let a line L pass through the point of intersection of the lines b x+10 y-8=0 and 2 x-3…
- Let a⃗=3 î+ĵ and b⃗=î+2 ĵ+k̂. Let c⃗ be a vector satisfying a⃗ ×(b⃗ × c⃗)=b⃗+λ c⃗. If b⃗…
- Let the solution curve y=y(x) of the differential equation (1+e²ˣ)((d y)/(d x)+y)=1 pass…
- Let a₁, a₂, a₃, … be an A.P. If Σᵣ₌₁^∞ aᵣ/2ʳ=4, then 4 a₂ is equal to _________.
- The number of points, where the function f: R → R, f(x)=|x-1| cos |x-2| sin…
- The number of matrices of order 3 × 3, whose entries are either 0 or 1 and the sum of…
- Let S={1,2,3, …, 2022}. Then the probability, that a randomly chosen number n from the…
- Let p and p + 2 be prime numbers and let Δ=|p !, (p+1) !, (p+2) !; (p+1) !, (p+2) !…
- If lim(x → 0) (α eˣ+β e⁻ˣ+γ sin x)/(x sin ² x)=2/3, where α, β, γ ∈ R, then which of the…
- Let the focal chord of the parabola P: y²=4 x along the line L: y=m x+c, m>0 meet the…
- Let the mean and the variance of 20 observations x₁, x₂, …, x₂₀ be 15 and 9…
- If z=2+3 i, then z⁵+(z̄)⁵ is equal to :
- Let a line with direction ratios a,-4 a,-7 be perpendicular to the lines with direction…
- Let R be a relation from the set {1,2,3, …, 60} to itself such that R={(a, b): b=p q…
- Let S={4,6,9} and T={9,10,11, …, 1000}. If A={a₁+a₂+…+aₖ: k ∈ N, a₁, a₂, a₃, …, aₖ ε S}…
- Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be…
- If 1/(2 × 3 × 4)+1/(3 × 4 × 5)+1/(4 × 5 × 6)+…+1/(100 × 101 × 102)=k/101, then 34 k is…
- If 1/(20-a)(40-a)+1/(40-a)(60-a)+…+1/(180-a)(200-a)=1/256, then the maximum value of a…
- Let the mirror image of a circle c₁: x²+y²-2 x-6 y+α=0 in line y=x+1 be c₂: 5 x²+5 y²+10…
- The area of the region {(x,y):|x-1|≤ y≤ √(5-x²)} is equal to :
- Let S={θ ∈(0,2 π): 7 cos ² θ-3 sin ² θ-2 cos ² 2 θ=2}. Then, the sum of roots of all the…
- The integral ∫₀^(π/2) 1/(3+2 sin x+cos x) d x is equal to :
- Let f(x)=3^((x²-2)³+4), x ∈ R. Then which of the following statements are true? P: x=0…
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