JEE Main 2023 (Online) 29th January Morning Shift — Question Paper
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Physics
Chemistry
- The standard electrode potential (M³⁺/M²⁺) for V, Cr, Mn Co are -0.26 V, -0.41 V, + 1.57…
- The correct order of hydration enthalpies is (A) K⁺ (B) Rb⁺ (C) Mg²⁺ (D) Cs⁺ (E) Ca²⁺…
- Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH…
- Which of the given compounds can enhance the efficiency of hydrogen storage tank?
- Compound that will give positive Lassaigne's test for both nitrogen and halogen is :
- Match List I with List II List I | List II; Reaction | Reagents; (A) | Hoffmann…
- Identify the correct order for the given property for following compounds. Choose the…
- "A" obtained by Ostwald's method involving air oxidation of NH₃, upon further air…
- Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at…
- Match List I with List II. List I | List II; Antimicrobials | Names; (A) | Narrow…
- The magnetic behaviour of Li₂O,Na₂O₂ and KO₂, respectively, are :
- 17 mg of a hydrocarbon (M.F. C₁₀H₁₆) takes up 8.40 mL of the H₂ gas measured at 0°C and…
- Which of the following salt solutions would coagulate the colloid solution formed when…
- The number of molecules or ions from the following, which do not have odd number of…
- Chiral complex from the following is : Here en = ethylene diamine
- The shortest wavelength of hydrogen atom in Lyman series is λ. The longest wavelength is…
- The major product 'P' for the following sequence of reactions is :
- The sum of bridging carbonyls in W(CO)₆ and Mn₂(CO)₁₀ is ____________.
- During the borax bead test with CuSO₄, a blue green colour of the bead was observed in…
- Consider the following reaction approaching equilibrium at 27°C and 1 atm pressure A+B…
- The increasing order of pKₐ for the following phenols is (A) 2, 4 - Dinitrophenol (B) 4…
- Following figure shows dependence of molar conductance of two electrolytes on…
- The reaction representing the Mond process for metal refining is _________.
- Water decomposes at 2300 K H₂O(g)→ H₂(g)+1/2O₂(g) The percent of water decomposing at…
- The bond dissociation energy is highest for
- Number of cyclic tripeptides formed with 2 amino acids A and B is :
Mathematics
- Let x=2 be a root of the equation x²+px+q=0 and f(x) = { (1 - cos (x² - 4px + q² + 8q +…
- Let f(x) = x + a/(π ² - 4)sin x + b/(π ² - 4)cos x,x ∈ R be a function which satisfies…
- Let the coefficients of three consecutive terms in the binomial expansion of (1+2x)ⁿ be…
- Let a₁,a₂,a₃,... be a GP of increasing positive numbers. If the product of fourth and…
- If the vectors a⃗ = λ î + μ ĵ + 4k̂, b⃗ = - 2î + 4ĵ - 2k̂ and c⃗ = 2î + 3ĵ + k̂ are…
- Three rotten apples are mixed accidently with seven good apples and four apples are…
- Let a⃗, b⃗ and c⃗ be three non-zero non-coplanar vectors. Let the position vectors of…
- Let Δ be the area of the region {(x,y)∈ R²:x²+y²≤ 21,y²≤ 4x,x≥ 1}. Then…
- Let [x] denote the greatest integer ≤ x. Consider the function f(x)=max{x²,1+[x]}. Then…
- Let the tangents at the points A(4,-11) and B(8,-5) on the circle x²+y²-3 x+10 y-15=0…
- The domain of f(x) = (log ₍ₓ₊₁₎(x - 2))/(e^(2log ₑx) - (2x + 3)),x ∈ ℝ is
- Let α and β be real numbers. Consider a 3 × 3 matrix A such that A²=3A+α I. If A⁴=21A+β…
- Let f:ℝ→ℝ be a differentiable function that satisfies the relation f(x+y)=f(x)+f(y)-1,∀…
- Suppose f is a function satisfying f(x + y) = f(x) + f(y) for all x,y ∈ N and f(1) =…
- Fifteen football players of a club-team are given 15 T-shirts with their names written…
- Let f(θ)=3(sin⁴(3π/2-θ)+sin⁴(3π+θ))-2(1-sin²2θ) and S={θ∈ [0,π]:f'(θ)=-√3/2}. If…
- Let y=f(x) be the solution of the differential equation y(x+1)dx-x²dy=0,y(1)=e. Then lim…
- Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are…
- A light ray emits from the origin making an angle 30° with the positive x-axis. After…
- Let A={(x,y)∈ ℝ²:y≥ 0,2x≤ y≤ √(4-(x-1)²)} and B={(x,y)∈ ℝ× ℝ:0≤ y≤…
- If the co-efficient of x⁹ in ( α x³ + 1/(β x) )¹¹ and the co-efficient of x⁻⁹ in ( α x -…
- Let the equation of the plane P containing the line x+10=(8-y)/2=z be ax+by+3z=2(a+b)…
- If all the six digit numbers x₁ x₂ x₃ x₄ x₅ x₆ with 0< x₁ < x₂ < x₃ < x₄ < x₅ < x₆ are…
- Consider the following system of equations α x+2y+z=1 2α x+3y+z=1 3x+α y+2z=β for some…
- For two non-zero complex numbers z₁ and z₂, if Re(z₁ z₂)=0 and Re(z₁+z₂)=0, then which…
- Let the co-ordinates of one vertex of Δ ABC be A(0,2,α) and the other two vertices lie…
- Let λ ≠ 0 be a real number. Let α,β be the roots of the equation 14x² - 31x + 3λ = 0 and…
- Let f:R → R be a function such that f(x) = (x² + 2x + 1)/(x² + 1). Then
- Let B and C be the two points on the line y+x=0 such that B and C are symmetric with…
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