JEE Main 2020 (Online) 7th January Evening Slot — Question Paper

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Physics

• A stationary observer receives sound from two identical tuning forks, one of which…
• The dimension of B²/2μ₀, where B is magnetic field and μ₀ is the magnetic permeability…
• Mass per unit area of a circular disc of radius a depends on the distance r from its…
• An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum…
• Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by…
• The figure gives experimentally measured B vs H variation in a ferromagnetic material…
• The electric field of a plane electromagnetic wave is given by E⃗ = E₀(î + ĵ)/√2 cos (…
• The balancing length for a cell is 560 cm in a potentiometer experiment. When an…
• A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed…
• A box weight 196 N on a spring balance at the north pole. Its weight recorded on the…
• A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is…
• In the figure, potential difference between A and B is :
• Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the…
• In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the…
• M grams of steam at 100ᵒC is mixed with 200 g of ice at its melting point in a thermally…
• An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor…
• The activity of a radioactive sample falls from 700 s –1 to 500 s –1 in 30 minutes. Its…
• An electron (of mass m) and a photon have the same energy E in the range of a few eV…
• A planar loop of wire rotates in a uniform magnetic field. Initially at t = 0, the plane…
• An elevator in a building can carry a maximum of 10 persons, with the average mass of…
• The sum of two forces P⃗ and Q⃗ is R⃗ such that |R⃗|=|P⃗| . The angle θ (in degrees)…
• A particle of mass m and charge q has an initial velocity v⃗ = v₀ĵ . If an electric…
• In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2…
• A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the…

Chemistry

• The ammonia (NH₃) released on quantitative reaction of 0.6 g urea (NH₂CONH₂) with sodium…
• The number of possible optical isomers for the complexes MA₂B₂ with sp³ and dsp²…
• Among the statements(a)-(d) the incorrect ones are : (a) Octahedral CO(III) complexes…
• The number of sp² hybridised carbons present in "Aspartame" is
• Within each pair of elements F & Cl, S & Se, and Li & Na, respectively, the elements…
• In the following reaction, products (A) and (B) respectively, are : NaOH + Cl₂ → (A) +…
• For the following reactions CH₃CH₂CH₂Br + Z⊖ →(kₛ) CH₃CH₂CH₂Z + Br⊖; →(kₑ) CH₃CH=CH₂ +…
• The standard heat of formation ( Δ _fH₂₉₈⁰ ) of ethane (in kj/mol), if the heat of…
• Consider the following reactions : NaCl + K₂Cr₂O₇ + H₂SO₄_((conc.)) → (A) + side…
• The flocculation value of HCl for arsenic sulphide sol. is 30 m mol L⁻¹ If H₂SO₄ is used…
• For the reaction 2H₂(g) + 2NO(g) → N₂(g) + 2H₂O(g) the observed rate expression is, rate…
• A chromatography column, packed with silica gel as stationary phase, was used to…
• 3 g of acetic acid is added to 250 mL of 0.1 M HCL and the solution made up to 500 mL…
• The equation that is incorrect is :
• The refining method used when the metal and the impurities have low and high melting…
• The redox reaction among the following is :
• The correct order of stability for the following alkoxides is :
• The bond order and the magnetic characteristics of CN⁻ are :
• In the following reaction sequence, The major product B is :
• Two open beakers one containing a solvent and the other containing a mixture of that…
• Among the statements (a) - (d), the correct ones are : (a) Decomposition of hydrogen…

Mathematics

• The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y…
• Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If lim…
• If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25…
• Let α and β be the roots of the equation x² - x - 1 = 0. If pₖ = ( α )ᵏ + ( β )ᵏ , k ≥…
• Let y = y(x) be a function of x satisfying y√(1 - x²) = k - x√(1 - y²) where k is a…
• If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing…
• If θ₁ and θ₂ be respectively the smallest and the largest values of θ in (0, 2π) - π…
• The value of c in the Lagrange's mean value theorem for the function ƒ(x) = x³ - 4x² +…
• Let the tangents drawn from the origin to the circle, x² + y² - 8x - 4y + 16 = 0 touch…
• Let a₁ , a₂ , a₃ ,....... be a G.P. such that a₁ < 0, a₁ + a₂ = 4 and a₃ + a₄ = 16. If…
• If the function ƒ defined on ( - 1/3,1/3 ) by f(x) = { 1/xlog ₑ( (1 + 3x)/(1 - 2x) )…
• The area (in sq. units) of the region (x, y) ∈ R² | 4x² ≤ y ≤ 8x + 12 is :
• Let A = [aᵢⱼ] and B = [bᵢⱼ] be two 3 × 3 real matrices such that bᵢⱼ = (3)⁽ⁱ⁺ʲ⁻²⁾aⱼᵢ…
• If the sum of the first 40 terms of the series, 3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 +…
• If 3x + 4y = 12√2 is a tangent to the ellipse x²/a² + y²/9 = 1 for some a ∈ R, then the…
• Let X = n ∈ N : 1 ≤ n ≤ 50. If A = n ∈ X: n is a multiple of 2 and B = n ∈ X: n is a…
• The number of ordered pairs (r, k) for which 6.³⁵Cᵣ = (k² - 3). ³⁶C r + 1 , where k is…
• The value of α for which 4α ∫₋₁² e^(- α | x |)dx = 5, is:
• Let y = y(x) be the solution curve of the differential equation, ( y² - x )dy/dx = 1…
• The coefficient of x⁷ in the expression (1 + x)¹⁰ + x(1 + x)⁹ + x²(1 + x)⁸ + ......+ x¹⁰…
• In a workshop, there are five machines and the probability of any one of them to be out…
• Let a⃗ , b⃗ and c⃗ be three unit vectors such that a⃗ + b⃗ + c⃗ = 0⃗. If λ = a⃗ .b⃗ +…
• If the system of linear equations, x + y + z = 6 x + 2y + 3z = 10 3x + 2y + λz = μ has…
• If (3 + i sin θ)/(4 - i cos θ), θ ∈ [0, 2θ], is a real number, then an argument of sinθ…

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