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JEE Main 2020 6 Sep Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20206 Sep, Evening shift

Physics 21Chemistry 17Mathematics 25

Physics

Q44In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.8. In order to bring the power factor…Electromagnetic Induction and Alternating Currents
Q46The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then value of x is _ _ _ _ _.Rotational Motion
Q64A Young's double-slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the path…Optics
Q6101Given the masses of various atomic particles m p = 1.0072 u, m n = 1.0087 u, m e = 0.000548 u, m v = 0, m d = 2.0141 u, where p proton, n neutron, e electron…Atoms and Nuclei
Q6238Particle A of mass m₁ moving with velocity (3 i + j)m s⁻¹ collides with another particle B of mass m₂ which is at rest initially. Let V₁ and V₂ be the…Rotational Motion
Q6463A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit:Current Electricity
Q6546Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength of nitrogen molecule is close to: (Given: nitrogen molecule…Dual Nature of Matter and Radiation
Q6761For a plane electromagnetic wave, the magnetic field at a point x and time t is B (x,t) = [ 1.2 × 10⁻⁷ sin (0.5 × 10³x + 1.5 × 10¹¹t) k ] T The instantaneous…Electromagnetic Waves
Q6944Two identical electric point dipoles have dipole moments p ₁ = p i and p ₂ = - p i and are held on the x axis at distance ' a ' from each other. When…Electrostatics
Q6963Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distributed uniformly over it. Which one of the…Electrostatics
Q7045A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the…Optics
Q7229Two planets have masses M and 16 M and their radii are a and 2 a, respectively. The separation between the centres of the planets is 10 a. A body of mass m is…Gravitation
Q7375In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as:Thermodynamics
Q7583A particle moving in the xy plane experiences a velocity dependent force F = k(v y i + v x j), where v x and v y are the x and y components of its velocity v…Laws of Motion
Q7705A square loop of side 2 a and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to…Magnetic Effects of Current and Magnetism
Q7727A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge q is moving in a plane with speed v…Magnetic Effects of Current and Magnetism
Q7809When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops are coming at an angle…Kinematics
Q7901A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms^–1 at a point where the pressure is P pascal. At another point where…Properties of Solids and Liquids
Q8092The linear mass density of a thin rod AB of length L varies from A to B as λ (x) = λ ₀(1 + x/L), where x is the distance from A. If M is the mass of the rod…Rotational Motion
Q8197When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by y(t) = y₀ sin² ω t, where 'y' is…Oscillations and Waves
Q8354A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings 5.50 mm, 5.55 mm…Experimental Skills

Chemistry

Q1A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a major product. The mass percentage of carbon in P is _ _ _. (to the…Organic Compounds Containing Oxygen
Q5The rate of a reaction decreased by 3.555 times when the temperature was changed from 40^(o)C to 30^(o)C. The activation energy (in kJ mol^–1) of the reaction…Chemical Kinetics
Q10If the solubility product of AB₂ is 3.20 × 10^–11 M³, then the solubility of AB₂ in pure water is _ _ _ × 10^–4 mol L^–1. [Assuming that neither kind of ion…Equilibrium
Q12The atomic number of Unnilunium is _ _ _ _.Classification of Elements and Periodicity in Properties
Q162Which one of the following statements is not true?Biomolecules
Q413The value of K C is 64 at 800 K for the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g) The value of K C for the following reaction is: NH₃(g) ⇌ 1/2 N₂(g) + 3/2 H₂(g)Equilibrium
Q616For a d⁴ metal ion in an octahedral field, the correct electronic configuration is:Coordination Compounds
Q819Mischmetal is an alloy consisting mainly of:d- and f-Block Elements
Q996For the given cell: Cu(s) | Cu²⁺(C₁M) || Cu²⁺(C₂M) | Cu(s) change in Gibbs energy (Δ G) is negative, if:Redox Reactions and Electrochemistry
Q1246Dihydrogen of high purity (> 99.95%) is obtained through:Hydrogen
Q1438The element that can be refined by distillation is:Isolation of Elements
Q1685The correct match between Item - I and Item - II is: Item - I Item - II (a) Natural rubber (I) 1, 3-butadiene + styrene (b) Neoprene (II) 1, 3-butadiene +…Polymers
Q1748Match the following: Test/Method Reagent (i) Lucas Test (a) C₆H₅SO₂Cl/ aq. KOH (ii) Dumas method (b) HNO₃/ AgNO₃ (iii) Kjeldahl’s method (c) CuO/CO₂ (iv)…Purification and Characterisation of Organic Compounds
Q1943A crystal is made up of metal ions 'M₁' and 'M₂' and oxide ions. Oxide ions form a ccp lattice structure. The cation 'M₁' occupies 50% of octahedral voids and…Solid State
Q2017A set of solutions is prepared using 180 g of water as a solvent and 10 g of different nonvolatile solutes A, B and C. The relative lowering of vapour…Solutions
Q2075The average molar mass of chlorine is 35.5 g mol^–1. The ratio of ³⁵Cl to ³⁷Cl in naturally occuring chlorine is close to:Some Basic Concepts in Chemistry
Q2305For a reaction, 4M(s) + nO₂(g) → 2M₂O n (s) the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable…Chemical Thermodynamics

Mathematics

Q29Suppose that a function f: R → R satisfies f(x + y) = f(x)f(y) for all x, y R and f(1) = 3. If Σ i = 1 ⁿ f(i) = 363 then n is equal to _ _ _ _.Sets, Relations and Functions
Q35The sum of distinct values of λ for which the system of equations (λ - 1)x + (3λ + 1)y + 2λ z = 0 (λ - 1)x + (4λ - 2)y + (λ + 3)z = 0 2x + (3λ + 1)y + 3(λ…Matrices and Determinants
Q37The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowels never come together is _ _ _ _.Permutations and Combinations
Q41Consider the data on x taking the values 0, 2, 4, 8,....., 2ⁿ with frequencies ⁿC₀, ⁿC₁, ⁿC₂,...., ⁿC n respectively. If the mean of this data is 728/(2ⁿ)…Statistics and Probability
Q43If x and y be two non-zero vectors such that | x + y | = | x | and 2 x + λ y is perpendicular to y, then the value of λ is _ _ _ _ _.Vector Algebra
Q2418A plane P meets the coordinate axes at A, B and C respectively. The centroid of Δ ABC is given to be (1, 1, 2). Then the equation of the line through this…Three Dimensional Geometry
Q2646The set of all real values of λ for which the function f(x) = (1 - cos ²x)(λ + sin x),x (- (π)/2,(π)/2) has exactly one maxima and exactly one minima, is:Limit, Continuity and Differentiability
Q2773If the tangent to the curve, y = f (x) = xlog e x, (x > 0) at a point (c, f(c)) is parallel to the line-segment joining the points (1, 0) and (e, e), then c…Limit, Continuity and Differentiability
Q2821The area (in sq. units) of the region enclosed by the curves y = x² – 1 and y = 1 – x² is equal to:Integral Calculus
Q2922If the constant term in the binomial expansion of (x - k/(x²))¹⁰ is 405, then |k| equals:Binomial Theorem and Its Simple Applications
Q3156Let z = x + iy be a non-zero complex number such that z² = i | z |², where i = √(- 1), then z lies on the:Complex Numbers and Quadratic Equations
Q3385The integral ∫₁² eˣ.xˣ(2 + log e x) dx equals:Integral Calculus
Q3494If y = (2/(π)x - 1) cosec x is the solution of the differential equation, dy/dx + p(x)y = 2/(π) cosec x, 0 < x < (π)/2, then the function p(x) is equal to:Differential Equations
Q3732If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies:Coordinate Geometry
Q3821For a suitably chosen real constant a, let a function, f:R - - a → R be defined by f(x) = (a - x)/(a + x). Further suppose that for any real number x ≠ - a…Sets, Relations and Functions
Q3918The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards the summit at an inclination of 30°…Height and Distance
Q4197Let f: R → R be a function defined by f(x) = max x, x². Let S denote the set of all points in R, where f is not differentiable. Then:Limit, Continuity and Differentiability
Q4198For all twice differentiable functions f: R → R, with f(0) = f(1) = f'(0) = 0Limit, Continuity and Differentiability
Q4412Consider the statement: ‘‘For an integer n, if n³ – 1 is even, then n is odd.’’ The contrapositive statement of this statement is:Mathematical Reasoning
Q4458Let θ = (π)/5 and A = [ cos θ sin θ - sin θ cos θ ]. If B = A + A⁴, then det (B):Matrices and Determinants
Q4744The centre of the circle passing through the point (0, 1) and touching the parabola y = x² at the point (2, 4) is:Coordinate Geometry
Q5019The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A B) = 0.8, P(A C) = 0.3, P(A B C) = 0.2, P(B C) = β and…Statistics and Probability
Q5139If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to:Complex Numbers and Quadratic Equations
Q5211The common difference of the A.P. b₁, b₂, …, b m is 2 more than the common difference of A.P. a₁, a₂, …, a n. If a₄0 = –159, a₁₀₀ = –399 and b₁₀₀ = a₇₀, then…Sequence and Series
Q5583Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in this line is:Coordinate Geometry