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JEE Main 2020 3 Sep Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20203 Sep, Evening shift

Physics 20Chemistry 15Mathematics 25

Physics

Q51When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a…Optics
Q55A galvanometer coil has 500 turns and each turn has an average area of 3 × 10^–4 m². If a torque of 1.5 Nm is required to keep this coil parallel to a…Magnetic Effects of Current and Magnetism
Q60A block starts moving up an inclined plane of inclination 30^(o) with an initial velocity of v₀. It comes back to its initial position with velocity v₀/2. The…Work, Energy and Power
Q5959Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and…Atoms and Nuclei
Q6099The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 × 10^–15)A¹/3 m. It follows that the mass density of a nucleus is of the…Atoms and Nuclei
Q6218A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block and sticks to it. If the velocity of…Rotational Motion
Q6465Two resistors 400 Ω and 800 Ω are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k Ω across 400 Ω resistor…Current Electricity
Q6599Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W…Dual Nature of Matter and Radiation
Q6702A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total…Electromagnetic Induction and Alternating Currents
Q6763The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is E = E₀ j cos (ω t - kx). The magnetic field B, at the moment…Electromagnetic Waves
Q6869Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?Electronic Devices
Q6870If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is: Planck’s constant h = 6.63 × 10^–34 J.s…Electronic Devices
Q7015Concentric metallic hollow spheres of radii R and 4R hold charges Q₁ and Q₂ respectively. Given that surface charge densities of the concentric spheres are…Electrostatics
Q7137The mass density of a planet of radius R varies with the distance r from its centre as ρ (r) = ρ ₀(1 - (r²)/(R²)). Then the gravitational field is maximum at:Gravitation
Q7296To raise the temperature of a certain mass of gas by 50^(o)C at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by…Kinetic Theory of Gases
Q7456A calorimeter of water equivalent 20 g contains 180 g of water at 25^(o)C. ‘m’ grams of steam at 100^(o)C is mixed in it till the temperature of the mixure is…Properties of Solids and Liquids
Q7972A metallic sphere cools from 50^(o)C to 40^(o) in 300 s. If atmospheric temperature around is 20^(o)C, then the sphere’s temperature after the next 5 minutes…Properties of Solids and Liquids
Q8196A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless horizontal plane. If half of the mass of…Oscillations and Waves
Q8236Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimension of solar constant is:Units and Measurements
Q8426Two light waves having the same wavelength λ in vacuum are in phase initially. Then the first wave travels a path L₁ through a medium of refractive index n₁…Optics

Chemistry

Q6An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation Cr₂O₇²⁻ + 14H⁺ + 6e^– → 2Cr³⁺ + 7H₂O The amount…Redox Reactions and Electrochemistry
Q11If 250 cm³ of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous solution containing 1.65 g of a protein B, at…Solutions
Q126.023 × 10²² molecules are present in 10 g of a substance 'x'. The molarity of a solution containing 5 g of substance 'x' in 2 L solution is _ _ _ × 10⁻³Some Basic Concepts in Chemistry
Q14The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is _ _ _ _ _ _.Some Basic Concepts in Chemistry
Q46The increasing order of the reactivity of the following compound in nucleophilic addition reaction is: Propanal, Benzaldehyde, Propanone, ButanoneOrganic Compounds Containing Oxygen
Q509For the reaction 2A + 3B + 3/2 C → 3P, which statement is correct ?Chemical Kinetics
Q620The d-electron configuration of [Ru(en)₃ ]Cl₂ and [Fe(H₂O)₆]Cl₂, respectively are:Coordination Compounds
Q701Complex A has a composition of H₁₂O₆Cl₃Cr. If the complex on treatment with conc.H₂SO₄ loses 13.5% of its original mass, the correct molecular formula of A…Coordination Compounds
Q763The incorrect statement is:d- and f-Block Elements
Q1024The incorrect statement(s) among (a) – (d) regarding acid rain is (are): (a) It can corrode water pipes. (b) It can damage structures made up of stone. (c) It…Environmental Chemistry
Q1107A mixture of one mole each of H₂, He and O₂ each are enclosed in a cylinder of volume V at temperature T. If the partial pressure of H₂ is 2 atm, the total…Gaseous State
Q1605Among the statements (I – IV), the correct ones are: (I) Be has smaller atomic radius compared to Mg. (II) Be has higher ionization enthalpy than Al. (III)…Classification of Elements and Periodicity in Properties
Q1606The five successive ionization enthalpies of an element are 800, 2427, 3658, 25024 and 32824 kJ mol^–1. The number of valence electrons in the element is:Classification of Elements and Periodicity in Properties
Q2039The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass percentage and molarity (M), respectively, are: (Take molar mass of…Some Basic Concepts in Chemistry
Q2200Consider the hypothetical situation where the azimuthal quantum number, l, takes values 0, 1, 2,....., n + 1, where n is the principal quantum number. Then…Atomic Structure

Mathematics

Q16Let a plane P contain two lines r = i + λ (i + j), λ R and r = - j + μ (j - k), μ R If Q(α, β, γ) is the foot of the perpendicular drawn from the point M(1…Three Dimensional Geometry
Q29Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x + 14y + 9z = 0 such that 15 ≤ x² + y² +…Matrices and Determinants
Q31If the tangent to the curve, y = eˣ at a point (c, e^(c)) and the normal to the parabola, y² = 4x at the point (1, 2) intersect at the same point on the…Coordinate Geometry
Q32The total number of 3-digit numbers, whose sum of digits is 10, is _ _ _ _ _.Permutations and Combinations
Q35If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4^(t)h A.M. is equal to 2ⁿd G.M., then m is equal to _…Sequence and Series
Q2575The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right angles also passes through the point:Three Dimensional Geometry
Q2746If the surface area of a cube is increasing at a rate of 3.6 cm²/sec, retaining its shape; then the rate of change of its volume (in cm³/sec), when the length…Limit, Continuity and Differentiability
Q2923If the term independent of x in the expansion of (3/2x² - 1/3x)⁹ is k, then 18 k is equal to:Binomial Theorem and Its Simple Applications
Q3212If z₁, z₂ are complex numbers such that Re(z₁) = |z₁ – 1|, Re(z₂) = |z₂ – 1|, and arg(z₁ - z₂) = (π)/6, then Im(z₁ + z₂) is equal to:Complex Numbers and Quadratic Equations
Q3378If the value of the integral ∫₀^(1/2) (x²)/((1 - x²)^(3/2)) dx is k/6, then k is equal to:Integral Calculus
Q3379Suppose f(x) is a polynomial of degree four, having critical points at –1, 0, 1. If T = x R | f(x) = f(0), then the sum of squares of all the elements of T is:Integral Calculus
Q3598If x³dy + xy dx = x²dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to:Differential Equations
Q3971Let e₁ and e₂ be the eccentricities of the ellipse, (x²)/25 + (y²)/(b²) = 1 (b < 5) and the hyperbola, (x²)/16 - (y²)/(b²) = 1 respectively satisfying e₁e₂ =…Coordinate Geometry
Q4027If ∫ sin ⁻¹(√(x/(1 + x))) dx = A(x) tan ⁻¹(x) + B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be:Integral Calculus
Q4232lim x → a ((a + 2x)^(1/3) - (3x)^(1/3))/((3a + x)^(1/3) - (4x)^(1/3)) (a ≠ 0) is equal to:Limit, Continuity and Differentiability
Q4332Let p, q, r be three statements such that the truth value of (p q) → (q r) is F. Then the truth values of p, q, r are respectively:Mathematical Reasoning
Q4523Let A be a 3 × 3 matrix such that adj A = [ 2 - 1 1 - 1 0 2 1 - 2 - 1 ] and B = adj(adj A). If |A| = λ and |(B⁻¹)^(T)| = μ, then the ordered pair, (| λ |, μ)…Matrices and Determinants
Q4671Let the latus ractum of the parabola y² = 4x be the common chord to the circles C₁ and C₂ each of them having radius 2 5. Then, the distance between the…Coordinate Geometry
Q4978The probability that a randomly chosen 5-digit number is made from exactly two digits is:Statistics and Probability
Q5075The set of all real values of λ for which the quadratic equations, (λ ² + 1)x² – 4 λ x + 2 = 0 always have exactly one root in the interval (0, 1) is:Complex Numbers and Quadratic Equations
Q5313If the sum of the series 20 + 19 3/5 + 19 1/5 + 18 4/5 +... upto nth term is 488 and the n^(t)h term is negative, then:Sequence and Series
Q5375Let R₁ and R₂ be two relation defined as follows: R₁ = (a, b) R²: a² + b² Q and R₂ = (a, b) R²: a² + b² Q, where Q is the set of all rational numbers. Then:Sets, Relations and Functions
Q5456Let x i (1 ≤ i ≤ 10) be ten observations of a random variable X. If Σ i = 1 ¹⁰ (x i - p) = 3 and Σ i = 1 ¹⁰ (x i - p)² = 9 where 0 ≠ p R, then the standard…Statistics and Probability
Q5535If a Δ ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates:Coordinate Geometry
Q5773Let a, b c R be such that a² + b² + c² = 1. If a cos θ = b cos (θ + (2π)/3) = c cos (θ + (4π)/3), where θ = (π)/9, then the angle between the vectors a i + b…Vector Algebra