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

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JEE Main 20206 Sep, Morning shift

Physics 17Chemistry 18Mathematics 25

Physics

Q47Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move…Rotational Motion
Q50Suppose that intensity of a laser is 315/(π) W/m². The rms electric field, in units of V/m associated with this source is close to the nearest integer is _ _…Electromagnetic Waves
Q54Initially a gas of diatomic molecules is contained in a cylinder of volume V₁ at a pressure P₁ and temperature 250 K. Assuming that 25% of the molecules get…Thermodynamics
Q59The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is (x/100)%. If the…Units and Measurements
Q5955An AC circuit has R= 100 Ω, C = 2 μ F and L = 80 mH, connected in series. The quality factor of the circuit is:Electromagnetic Induction and Alternating Currents
Q6049You are given that Mass of ₃⁷Li = 7.0160u, Mass of ₂⁴He = 4.0026u and Mass of ₁¹H = 1.0079u. When 20 g of ₃⁷Li is converted into ₂⁴He by proton capture, the…Atoms and Nuclei
Q6268A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in units of ms^–2) is of the order of:Kinematics
Q6547An electron, a doubly ionized helium ion (He⁺⁺) and a proton are having the same kinetic energy. The relation between their respective de-Broglie wavelengths…Dual Nature of Matter and Radiation
Q7044A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2 m behind the…Optics
Q7260A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less…Gravitation
Q7297Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom.The gas is maintained at a…Kinetic Theory of Gases
Q7554An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height h from the bottom. If the…Laws of Motion
Q7749An electron is moving along +x direction with a velocity of 6 × 10⁶ ms^–1. It enters a region of uniform electric field of 300 V/cm pointing along +y…Magnetic Effects of Current and Magnetism
Q7750A particle of charge q and mass m is moving with a velocity - v i (v ≠ 0) towards a large screen placed in the Y - Z plane at a distance d. If there is a…Magnetic Effects of Current and Magnetism
Q7937An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of the material of the wire is Y. If the…Properties of Solids and Liquids
Q8332A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation…Experimental Skills
Q8583If the potential energy between two molecules is given by U = - A/(r⁶) + B/(r¹²), then at equilibrium, separation between molecules, and the potential energy…Work, Energy and Power

Chemistry

Q2The number of Cl = O bonds in perchloric acid is, " _ _ _ _ ".Chemical Bonding and Molecular Structure
Q8Potassium chlorate is prepared by the electrolysis of KCl in basic solution 6OH⁻ + Cl⁻ → ClO₃⁻ + 3H₂O + 6e⁻ If only 60% of the current is utilized in the…Redox Reactions and Electrochemistry
Q10A spherical balloon of radius 3 cm containing helium gas has a pressure of 48 × 10^–3 bar. At the same temperature, the pressure, of a spherical balloon of…Gaseous State
Q15In an estimation of bromine by Carius method, 1.6 g of an organic compound gave 1.88 g of AgBr. The mass percentage of bromine in the compound is _ _ _ _…Principles Related to Practical Chemistry
Q17The elevation of boiling point of 0.10 m aqueous CrCl₃.xNH₃ solution is two times that of 0.05 m aqueous CaCl₂ solution. The value of x is _ _ _. [Assume 100%…Solutions
Q103Which of the following compounds shows geometrical isomerism?Some Basic Principles of Organic Chemistry
Q414The variation of equilibrium constant with temperature is given below: Temperature Equilibrium Constant T₁ = 25^(o)C K₁ = 10 T₂ = 100^(o)C K₂ = 100 The values…Equilibrium
Q415For the reaction Fe₂N(s) + 3/2 H₂(g) ⇌ 2Fe(s) + NH₃(g)Equilibrium
Q728The species that has a spin-only magnetic moment of 5.9 BM, is: (T d = tetrahedral)Coordination Compounds
Q818The lanthanoid that does NOT show +4 oxidation state is:d- and f-Block Elements
Q872The set that contains atomic numbers of only transition elements, is:d- and f-Block Elements
Q1089The presence of soluble fluoride ion upto 1 ppm concentration in drinking water, is:Environmental Chemistry
Q1308Arrange the following solutions in the decreasing order of pOH: (A) 0.01 M HCl (B) 0.01 M NaOH (C) 0.01 M CH₃COONa (D) 0.01 M NaClEquilibrium
Q1486The correct statement with respect to dinitrogen is:p-Block Elements
Q1686Consider the Assertion and Reason given below. Assertion (A): Ethene polymerized in the presence of Ziegler Natta Catalyst at high temperature and pressure is…Polymers
Q1882Among the sulphates of alkaline earth metals, the solubilities of BeSO₄ and MgSO₄ in water, respectively, are:S Block Elements
Q2038A solution of two components containing n₁ moles of the 1^(s)t component and n₂ moles of the 2ⁿd component is prepared. M₁ and M₂ are the molecular weights of…Some Basic Concepts in Chemistry
Q2247Kraft temperature is the temperature:Surface Chemistry

Mathematics

Q30Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If AD = 8 m, BC = 11 m and AB = 10 m; then the distance (in meters) of a…Height and Distance
Q31The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is found to be 45^(o). After walking a…Height and Distance
Q32Let f: R → R be defined as f(x) = \ x⁵ sin (1/x) + 5x², x < 0 0, x = 0 x⁵ cos (1/x) + λ x², x > 0. The value of λ for which f ''(0) exists, is _ _ _ _.Limit, Continuity and Differentiability
Q41Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m.n is…Sets, Relations and Functions
Q44If a and b are unit vectors, then the greatest value of 3 | a + b | + | a - b | is _ _ _.Vector Algebra
Q2419The shortest distance between the lines (x - 1)/0 = (y + 1)/(- 1) = z/1 and x + y + z + 1 = 0, 2x – y + z + 3 = 0 is:Three Dimensional Geometry
Q2647The position of a moving car at time t is given by f(t) = at² + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the…Limit, Continuity and Differentiability
Q2822The area (in sq. units) of the region A = (x, y): |x| + |y| ≤ 1, 2y² ≥ |x|Integral Calculus
Q2952If p denotes the fractional part of the number p, then (3²⁰⁰)/8, is equal to:Binomial Theorem and Its Simple Applications
Q3155The region represented by z = x + iy C: |z| – Re(z) ≤ 1 is also given by the inequality: z = x + iy C: |z| – Re(z) ≤ 1Complex Numbers and Quadratic Equations
Q3308lim x → 1 ((∫₀^((x - 1)²) t cos (t²)dt)/((x - 1) sin (x - 1)))Integral Calculus
Q3384If I₁ = ∫₀¹ (1 - x⁵⁰)¹⁰⁰ dx and I₂ = ∫₀¹ (1 - x⁵⁰)¹⁰¹ dx such that I₂ = α I₁ then α equals to:Integral Calculus
Q3594The general solution of the differential equation √(1 + x² + y² + x²y²) + xy dy/dx = 0 is: (where C is a constant of integration)Differential Equations
Q3779Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse, (x²)/4 + (y²)/2 = 1 from any of its foci?Coordinate Geometry
Q3865If f(x + y) = f(x)f(y) and Σ x = 1 ^∞ f(x) = 2, x, y N, where N is the set of all natural number, then the value of (f(4))/(f(2)) is:Sets, Relations and Functions
Q4328The negation of the Boolean expression p (~p q) is equivalent to:Mathematical Reasoning
Q4459Let m and M be respectively the minimum and maximum values of | cos ²x 1 + sin ²x sin 2x 1 + cos ²x sin ²x sin 2x cos ²x sin ²x 1 + sin 2x | Then the ordered…Matrices and Determinants
Q4575The values of λ and μ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y + λ z = μ has infinitely many solutions are, respectively:Matrices and Determinants
Q4743Let L₁ be a tangent to the parabola y² = 4(x + 1) and L₂ be a tangent to the parabola y² = 8(x + 2) such that L₁ and L₂ intersect at right angles. Then L₁ and…Coordinate Geometry
Q4794Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family…Permutations and Combinations
Q4979Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive…Statistics and Probability
Q5138If α and β be two roots of the equation x² – 64x + 256 = 0. Then the value of ((α ³)/(β ⁵))^(1/8) + ((β ³)/(α ⁵))^(1/8) is:Complex Numbers and Quadratic Equations
Q5260Let a, b, c, d and p be any non zero distinct real numbers such that (a² + b² + c²)p² – 2(ab + bc + cd)p + (b² + c² + d²) = 0. Then:Sequence and Series
Q5452If Σ i = 1 ⁿ (x i - a) = n and Σ i = 1 ⁿ (x i - a)² = na (n, a > 1) then the standard deviation of n observations x₁, x₂,..., x n is:Statistics and Probability
Q5612A ray of light coming from the point (2, 2 3) is incident at an angle 30^(o) on the line x = 1 at the point A. The ray gets reflected on the line x = 1 and…Coordinate Geometry