JEE Main 2020 (Online) 8th January Evening Slot — Question Paper

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Physics

• Three containers C₁, C₂ and C₃ have water at different temperatures. The table below…
• A particle of mass m is dropped from a height h above the ground. At the same time…
• The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The…
• A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the…
• A transverse wave travels on a taut steel wire with a velocity of v when tension in it…
• An electron (mass m) with initial velocity v⃗ = v₀î + v₀ĵ is in an electric field E⃗ = -…
• A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with…
• A shown in the figure, a battery of emf ε is connected to an inductor L and resistance R…
• Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken…
• An asteroid is moving directly towards the centre of the earth. When at a distance of…
• A carnot engine having an efficiency of 1/10 is being used as a refrigerator. If the…
• A particle of mass m and charge q is released from rest in a uniform electric field. If…
• A capacitor is made of two square plates each of side 'a' making a very small angle α…
• In the given circuit, value of Y is :
• Consider two charged metallic spheres S₁ and S₂ of radii R₁ and R₂, respectively. The…
• In a double slit experiment, at a certain point on the screen the path difference…
• A ball is dropped from the top of a 100 m high tower on a planet. In the last 1/2s…
• Two liquids of densities ρ ₁ an ρ ₂ (ρ ₂ = 2ρ ₁) are filled up behind a square wall of…
• As shown in figure, when a spherical cavity (centered at O) of radius 1 is cut out of a…
• A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a…
• A simple pendulum is being used to determine th value of gravitational acceleration g at…
• The series combination of two batteries, both of the same emf 10 V, but different…
• A particle moves such that its position vector r⃗ ( t ) = cos ω tî + sin ω tĵ where ω is…

Chemistry

• Complexes (ML₅) of metals Ni and Fe have ideal square pyramidal and trigonal bipyramidal…
• A metal (A) on heating in nitrogen gas gives compound B. B on treatment with H₂O gives a…
• Two monomers in maltose are :
• Consider the following plots of rate constant versus 1/T for four different reactions…
• In the following sequence of reactions the maximum number of atoms present in molecule…
• The correct order of the calculated spin-only magnetic moments of complexs (A) to (D)…
• Kjeldahl's method cannot be used to estimate nitrogen for which of the following…
• An unsaturated hydrocarbon X absorbs two hydrogen molecules on catalytic hydrogenation…
• White Phosphorus on reaction with concentrated NaOH solution in an inert atmosphere of…
• Arrange the following bonds according to their average bond energies in descending order…
• Among the reactions (a) - (d), the reaction(s) that does/do not occur in the blast…
• At constant volume, 4 mol of an ideal gas when heated from 300 K to 500K changes its…
• For the following Assertion and Reason, the correct option is Assertion : For…
• The radius of the second Bohr orbit, in terms of the Bohr radius, a₀, in Li²⁺ is :
• For the following Assertion and Reason, the correct option is : Assertion : The pH of…
• Which of the following compounds is likely to show both Frenkel and Schottky defects in…
• Among the compounds A and B with molecular formula C₉H₁₈O₃ , A is having higher boiling…
• Among (a) – (d) the complexes that can display geometrical isomerism are : (a)…
• The increasing order of the atomic radii of the following elements is :- (a) C (b) O (c)…
• For an electrochemical cell Sn(s) | Sn²⁺ (aq,1M)||Pb²⁺ (aq,1M)|Pb(s) the ratio [ Sn²⁺…
• Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B)…
• Preparation of Bakelite proceeds via reactions.

Mathematics

• The mean and variance of 20 observations are found to be 10 and 4, respectively. On…
• The number of 4 letter words (with or without meaning) that can be formed from the…
• The differential equation of the family of curves, x² = 4b(y + b), b ∈ R, is :
• Let S be the set of all real roots of the equation, 3ˣ(3ˣ – 1) + 2 = |3ˣ – 1| + |3ˣ –…
• If the 10ᵗʰ term of an A.P. is 1/20 and its 20ᵗʰ term is 1/10, then the sum of its first…
• If a hyperbola passes through the point P(10, 16) and it has vertices at (± 6, 0), then…
• The area (in sq. units) of the region (x,y) ∈ R² : x² ≤ y ≤ 3 – 2x, is :
• Let a⃗ = î - 2ĵ + k̂ and b⃗ = î - ĵ + k̂ be two vectors. If c⃗ is a vector such that b⃗…
• If (√2 sin α)/√(1+cos 2α)=1/7 and √((1-cos 2β)/2)=1/√10 α,β∈ (0,π/2) then tan(α + 2β) is…
• Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a…
• If α and β be the coefficients of x⁴ and x² respectively in the expansion of ( x + √(x²…
• The system of linear equations λx + 2y + 2z = 5 2λx + 3y + 5z = 8 4x + λy + 6z = 10 has
• If I = ∫₁² dx/√(2x³ - 9x² + 12x + 4), then :
• If a line, y = mx + c is a tangent to the circle, (x – 3)² + y² = 1 and it is…
• The mirror image of the point (1, 2, 3) in a plane is ( - 7/3, - 4/3, - 1/3 ). Which of…
• Let α = (- 1 + i√3)/2. If a = ( 1 + α )Σₖ₌₀¹⁰⁰ α ²ᵏ and b = Σₖ₌₀¹⁰⁰ α ³ᵏ, then a and b…
• Let ƒ : (1, 3) → R be a function defined by f(x) = x[ x ]/(1 + x²) , where [x] denotes…
• The sum, Σₙ₌₁⁷ n( n + 1 )( 2n + 1 )/4 is equal to ________.
• Let A and B be two events such that the probability that exactly one of them occurs is…
• lim _(x → 0) (∫₀ˣ t sin ( 10t )dt)/x is equal to
• Let S be the set of all functions ƒ : [0,1] → R, which are continuous on [0,1] and…
• If A = ( 2, 2; 9, 4 ) and I = ( 1, 0; 0, 1 ) then 10A –1 is equal to :
• The length of the perpendicular from the origin, on the normal to the curve, x² + 2xy –…

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