JEE Main 2020 (Online) 3rd September Evening Slot — Question Paper

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Physics

• A particle is moving unidirectionally on a horizontal plane under the action of a…
• A block starts moving up an inclined plane of inclination 30ᵒ with an initial velocity…
• The mass density of a planet of radius R varies with the distance r from its centre as…
• A calorimeter of water equivalent 20 g contains 180 g of water at 25ᵒC. ‘m’ grams of…
• To raise the temperature of a certain mass of gas by 50ᵒC at a constant pressure, 160…
• A block of mass m attached to a massless spring is performing oscillatory motion of…
• Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500…
• If minimum possible work is done by a refrigerator in converting 100 grams of water at…
• A uniform magnetic field B exists in a direction perpendicular to the plane of a square…
• Concentric metallic hollow spheres of radii R and 4R hold charges Q₁ and Q₂…
• The electric field of a plane electromagnetic wave propagating along the x direction in…
• If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm…
• The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 × 10…
• Two light waves having the same wavelength λ in vacuum are in phase initially. Then the…
• A uniform rod of length ‘l’ is pivoted at one of its ends on a vertical shaft of…
• When an object is kept at a distance of 30 cm from a concave mirror, the image is formed…
• A metallic sphere cools from 50ᵒC to 40ᵒ in 300 s. If atmospheric temperature around is…
• A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of…
• Amount of solar energy received on the earth’s surface per unit area per unit time is…
• An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three…
• Two resistors 400Ω and 800Ω are connected in series across a 6 V battery. The potential…
• A galvanometer coil has 500 turns and each turn has an average area of 3 × 10 –4 m² . If…
• A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is…
• Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same…
• Which of the following will NOT be observed when a multimeter (operating in resistance…

Chemistry

• An ionic micelle is formed on the addition of :
• Consider the following molecules and statements related to them : (a) (B) is more likely…
• The d-electron configuration of [Ru(en)₃ ]Cl₂ and [Fe(H₂O)₆]Cl₂ , respectively are :
• Among the statements (I – IV), the correct ones are: (I) Be has smaller atomic radius…
• The increasing order of the reactivity of the following compound in nucleophilic…
• Consider the hypothetical situation where the azimuthal quantum number, l, takes values…
• Match the following drugs with their therapeutic actions : (i) Ranitidine | (a)…
• The decreasing order of reactivity of the following compounds towards nucleophilic…
• The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass…
• An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per…
• Three isomers A, B and C (mol. formula C₈H₁₁N) give the following results : A and…
• The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid…
• If 250 cm³ of an aqueous solution containing 0.73 g of a protein A is isotonic with one…
• The five successive ionization enthalpies of an element are 800, 2427, 3658, 25024 and…
• For the reaction 2A + 3B + 3/2C → 3P, which statement is correct ?
• 6.023 × 10²² molecules are present in 10 g of a substance 'x'. The molarity of a…
• The number of > C=O groups present in a tripeptide Asp–Glu–Lys is ____.
• Complex A has a composition of H₁₂O₆Cl₃Cr. If the complex on treatment with conc.H₂SO₄…

Mathematics

• If the term independent of x in the expansion of ( 3/2x² - 1/3x )⁹ is k, then 18 k is…
• Let the latus ractum of the parabola y² = 4x be the common chord to the circles C₁ and…
• Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y…
• If ∫ sin⁻¹(√(x/(1+x)))dx = A(x)tan⁻¹(√x) + B(x) + C, where C is a constant of…
• The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right…
• If the tangent to the curve, y = eˣ at a point (c, eᶜ) and the normal to the parabola…
• Suppose f(x) is a polynomial of degree four, having critical points at –1, 0, 1. If T =…
• If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and…
• Let R₁ and R₂ be two relation defined as follows : R₁ = (a, b) ∈ R² : a² + b² ∈ Q and R₂…
• Let A be a 3 × 3 matrix such that adj A = [ 2, - 1, 1; - 1, 0, 2; 1, - 2, - 1 ] and B =…
• Let e₁ and e₂ be the eccentricities of the ellipse, x²/25 + y²/b² = 1(b < 5) and the…
• If the value of the integral ∫₀^(1/2) x²/( 1 - x² )^(3/2) dx is k/6, then k is equal to :
• If x³dy + xy dx = x²dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :
• lim _(x → a) (( a + 2x )^(1/3) - ( 3x )^(1/3))/(( 3a + x )^(1/3) - ( 4x )^(1/3)) (a ≠ 0)…
• Let a, b c ∈ R be such that a² + b² + c² = 1. If a cos θ = b cos ( θ + 2π/3 ) = c cos (…
• The set of all real values of λ for which the quadratic equations, (λ² + 1)x² – 4λx + 2…
• The probability that a randomly chosen 5-digit number is made from exactly two digits is :
• Let a plane P contain two lines r⃗ = î + λ ( î + ĵ ), λ ∈ R and r⃗ = - ĵ + μ ( ĵ - k̂ )…
• If z₁ , z₂ are complex numbers such that Re(z₁) = |z₁ – 1|, Re(z₂) = |z₂ – 1| , and…
• If the surface area of a cube is increasing at a rate of 3.6 cm²/sec, retaining its…
• The total number of 3-digit numbers, whose sum of digits is 10, is __________.
• If the sum of the series 20 + 193/5 + 191/5 + 184/5 + ... upto nth term is 488 and the…
• If a ΔABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has…
• Let xᵢ (1 ≤ i ≤ 10) be ten observations of a random variable X. If Σᵢ₌₁¹⁰ ( xᵢ - p ) = 3…

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