JEE Main 2020 (Online) 4th September Morning Slot — Question Paper
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Physics
Chemistry
- The region in the electromagnetic spectrum where the Balmar series lines appear is :
- The decreasing order of reactivity of the following organic molecules towards AgNO₃…
- When neopentyl alcohol is heated with an acid, it slowly converted into an 85 : 15…
- For one mole of an ideal gas, which of these statements must be true? (a) U and H each…
- The elements with atomic numbers 101 and 104 belong to, respectively :
- The number of isomers possible for [Pt(en)(NO₂)₂] is :
- What are the functional groups present in the structure of maltose?
- At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of…
- On combustion of Li, Na and K in excess of air, the major oxides formed, respectively…
- The number of chiral centres present in [B] is _____.
- On heating, lead (II) nitrate gives a brown gas (A). The gas (A) on cooling changes to a…
- If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction…
- The pair in which both the species have the same magnetic moment (spin only) is :
- The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts…
- [P] on treatment with Br₂/FeBr₃ in CCl₄ produced a single isomer C₈H₇O₂Br while heating…
- Among statements (a) - (d), the correct ones are (a) Lime stone is decomposed to CaO…
- The IUPAC name of the following compound is :
- An organic compound (A) (molecular formula C₆H₁₂O₂) was hydrolysed with dil. H₂SO₄ to…
- For the equilibrium A ⇌ B , the variation of the rate of the forward (a) and reverse (b)…
- The ionic radii of O 2– , F – , Na⁺ and Mg²⁺ are in the order :
- Match the following : (i) Foam | (a) smoke; (ii) Gel | (b) cell fluid; (iii) Aerosol |…
- A 20.0 mL solution containing 0.2 g impure H₂O₂ reacts completely with 0.316 g of KMnO₄…
- Which of the following will react with CHCl₃ + alc. KOH?
- The intermolecular potential energy for the molecules A, B, C and D given below suggests…
- E_(Cu²⁺|Cu)⁰ = +0.34 V E_(Zn²⁺|Zn)⁰ = -0.76 V Identify the incorrect statement from the…
Mathematics
- Let α and β be the roots of x² - 3x + p=0 and γ and δ be the roots of x² - 6x + q = 0…
- If 1+(1–2².1)+(1–4².3)+(1-6².5)+......+(1-20².19)= α - 220β, then an ordered pair ( α ,β…
- Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy²…
- Let P(3, 3) be a point on the hyperbola, x²/a² - y²/b² = 1. If the normal to it at P…
- If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has…
- Let x²/a² + y²/b² = 1 (a > b) be a given ellipse, length of whose latus rectum is 10. If…
- Let y = y(x) be the solution of the differential equation, xy'- y = x²(xcosx + sinx), x…
- The probability of a man hitting a target is 1/10. The least number of shots required…
- Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) ≥ 1…
- Let ( 2x² + 3x + 4 )¹⁰ = Σᵣ₌₀²⁰ aᵣxʳ Then a₇/a₁₃ is equal to ______.
- The value of Σᵣ₌₀²⁰ ⁵⁰⁻ʳC₆ is equal to:
- Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground…
- Let f(x)=∫ √x/(1+x)²dx(x≥ 0). Then f(3) – f(1) is eqaul to :
- If A = [ cos θ, i sin θ; i sin θ, cos θ ], ( θ = π/24 ) and A⁵ = [ a, b; c, d ], where i…
- Let [t] denote the greatest integer ≤ t. Then the equation in x, [x]² + 2[x+2] - 7 = 0…
- If the equation of a plane P, passing through the intersection of the planes, x + 4y - z…
- The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these…
- Let u = (2z + i)/(z - ki), z = x + iy and k > 0. If the curve represented by Re(u) +…
- Let x₀ be the point of Local maxima of f(x) = a⃗ .( b⃗ × c⃗ ), where a⃗ = xî - 2ĵ + 3k̂…
- A survey shows that 63% of the people in a city read newspaper A whereas 76% read…
- If ( a + √2 b cos x )( a - √2 b cos y ) = a² - b² where a > b > 0, then dx/dy at(…
- Let f(x) = | x - 2 | and g(x) = f(f(x)), x ∈ [ 0,4 ]. Then ∫₀³ ( g(x) - f(x) ) dx is…
- The integral ∫ (x/(x sin x+cos x))²dx is equal to (where C is a constant of integration):
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