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JEE Main 2020 5 Sep Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20205 Sep, Morning shift

Physics 20Chemistry 18Mathematics 25

Physics

Q44A particle of mass 200 MeV/c² collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its…Atoms and Nuclei
Q48A beam of electrons of energy E scatters from a target having atomic spacing of 1 A^(o). The first maximum intensity occurs at θ = 60^(o). Then E (in eV) is _…Dual Nature of Matter and Radiation
Q49Two concentric circular coils, C₁ and C₂ are placed in the XY plane. C₁ has 500 turns, and a radius of 1 cm. C₂ has 200 turns and radius of 20 cm. C₂ carries…Electromagnetic Induction and Alternating Currents
Q52A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5 cm with a separation of 10 cm. The distance between…Optics
Q60A force F = (i + 2 j + 3 k) N acts at a point (4 i + 3 j - k) m. Then the magnitude of torque about the point (i + 2 j + k) m will be x N m. The value of x is…Rotational Motion
Q6169Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected in parallel in such a manner…Electrostatics
Q6428An electrical power line, having a total resistance of 2 Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately:Current Electricity
Q6466A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R₁ in series with it. The additional resistance that…Current Electricity
Q6762An electron is constrained to move along the y-axis with a speed of 0.1 c (c is the speed of light) in the presence of electromagnetic wave, whose electric…Electromagnetic Waves
Q6868With increasing biasing voltage of a photodiode, the photocurrent magnitude:Electronic Devices
Q7139The value of the acceleration due to gravity is g₁ at a height h = R/2 (R = radius of the earth) from the surface of the earth. It is again equal to g₁ at a…Gravitation
Q7376Number of molecules in a volume of 4 cm³ of a perfect monoatomic gas at some temperature T and at a pressure of 2 cm of mercury is close to? (Given, mean…Thermodynamics
Q7455A bullet of mass 5 g, travelling with a speed of 210 m/s, strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet…Thermodynamics
Q7704A 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…Magnetic Effects of Current and Magnetism
Q7858A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a…Kinematics
Q7987A hollow spherical shell at outer radius R floats just submerged under the water surface. The inner radius of the shell is r. If the specific gravity of the…Properties of Solids and Liquids
Q8052A wheel is rotating freely with an angular speed ω on a shaft. The moment of inertia of the wheel is I and the moment of inertia of the shaft is negligible…Rotational Motion
Q8303A physical quantity z depends on four observables a, b, c and d, as z = (a²b^(2/3))/(c d³). The percentages of error in the measurement of a, b, c and d are…Units and Measurements
Q8496Assume that the displacement(s) of air is proportional to the pressure difference (Δ p) created by a sound wave. Displacement (s) further depends on the speed…Oscillations and Waves
Q8552In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water…Oscillations and Waves

Chemistry

Q2The number of chiral carbon(s) present in peptide, Ile-Arg-Pro, is _ _ _.Biomolecules
Q7The total number of coordination sites in ethylenediaminetetraacetate (EDTA⁴–) is _ _ _.Coordination Compounds
Q11An oxidation-reduction reaction in which 3 electrons are transferred has a Δ Gº of 17.37 kJ mol^–1 at 25 ^(o)C. The value of E^(o) cell (in V) is _ _ _ ×…Redox Reactions and Electrochemistry
Q13The minimum number of moles of O₂ required for complete combustion of 1 mole of propane and 2 moles of butane is _ _ _.Hydrocarbons
Q15A soft drink was bottled with a partial pressure of CO₂ of 3 bar over the liquid at room temperature. The partial pressure of CO₂ over the solution approaches…Equilibrium
Q203Which of the following is not an essential amino acid:Biomolecules
Q295The structure of PCl₅ in the solid state is:Chemical Bonding and Molecular Structure
Q416Consider the following reaction: N₂O₄(g) ⇌ 2NO₂(g); Δ H^(o) = +58 kJ For each of the following cases (a, b), the direction in which the equilibrium shifts is…Equilibrium
Q449A flask contains a mixture of compounds A and B. Both compounds decompose by first-order kinetics. The half-lives for A and B are 300 s and 180 s…Chemical Kinetics
Q529The most appropriate reagent for conversion of C₂H₅CN into CH₃CH₂CH₂NH₂ isOrganic Compounds Containing Nitrogen
Q617The values of the crystal field stabilization energies for a high spin d⁶ metal ion in octahedral and tetrahedral fields, respectively, are:Coordination Compounds
Q816The correct electronic configuration and spin-only magnetic moment (BM) of Gd³⁺ (Z = 64), respectively, are:d- and f-Block Elements
Q817In the sixth period, the orbitals that are filled are:d- and f-Block Elements
Q1063The condition that indicates a polluted environment is:Environmental Chemistry
Q1269The equation that represents the water-gas shift reaction is:Hydrogen
Q1367An Ellingham diagram provides information about:Isolation of Elements
Q1928A diatomic molecule X₂ has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is 6.17 g cm^–3. The number of…Solid State
Q2117The difference between the radii of 3^(r)d and 4^(t)h orbits of Li²⁺ is R₁. The difference between the radii of 3^(r)d and 4^(t)h orbits of He⁺ is Δ R₂. Ratio…Atomic Structure

Mathematics

Q21The natural number m, for which the coefficient of x in the binomial expansion of (x^(m) + 1/(x²))²² is 1540, is.............Binomial Theorem and Its Simple Applications
Q28Let f(x) = x.[ x/2 ], for -10< x < 10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to _ _ _.Limit, Continuity and Differentiability
Q35Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is _ _ _ _ _.Permutations and Combinations
Q36The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ’SYLLABUS’ such that two letters…Permutations and Combinations
Q42If the line, 2x - y + 3 = 0 is at a distance 1/(5) and 2/(5) from the lines 4x - 2y + α = 0 and 6x - 3y + β = 0, respectively, then the sum of all possible…Coordinate Geometry
Q2493If (a, b, c) is the image of the point (1, 2, -3) in the line (x + 1)/2 = (y - 3)/(- 2) = z/(- 1), then a + b + c is:Three Dimensional Geometry
Q2649If the point P on the curve, 4x² + 5y² = 20 is farthest from the point Q(0, -4), then PQ² is equal to:Limit, Continuity and Differentiability
Q3183If the four complex numbers z, z, z - 2 Re (z) and z-2Re(z) represent the vertices of a square of side 4 units in the Argand plane, then |z| is equal to:Complex Numbers and Quadratic Equations
Q3383The value of ∫ (- π)/2 ^((π)/2) 1/(1 + e^(sin x))dx is:Integral Calculus
Q3595If y = y(x) is the solution of the differential equation (5 + eˣ)/(2 + y).dy/dx + eˣ = 0 satisfying y(0) = 1, then a value of y(log e 13) is:Differential Equations
Q3736If the co-ordinates of two points A and B are (7,0) and (- 7,0) respectively and P is any point on the conic, 9x² + 16y² = 144, then PA + PB is equal to:Coordinate Geometry
Q4023If ∫ (e²ˣ + 2eˣ - e⁻ˣ - 1)e^((eˣ + e⁻ˣ))dx = g(x)e^((eˣ + e⁻ˣ)) + c where c is a constant of integration, then g(0) is equal to:Integral Calculus
Q4121If S is the sum of the first 10 terms of the series tan ⁻¹(1/3) + tan ⁻¹(1/7) + tan ⁻¹(1/13) + tan ⁻¹(1/21) +.... then tan(S) is equal to:Trigonometry
Q4196If the function f(x) = \ k₁(x - π)² - 1, x ≤ π k₂ cos x, x > π. is twice differentiable, then the ordered pair (k₁, k₂) is equal to:Limit, Continuity and Differentiability
Q4280If α is positive root of the equation, p(x) = x² - x - 2 = 0, then lim x → α ⁺ (√(1 - cos (p(x))))/(x + α - 4) is equal to:Limit, Continuity and Differentiability
Q4330The negation of the Boolean expression x ~ y is equivalent to:Mathematical Reasoning
Q4460If the minimum and the maximum values of the function f:[ (π)/4,(π)/2 ] → R, defined by f(θ) = | - sin ²θ - 1 - sin ²θ 1 - cos ²θ - 1 - cos ²θ 1 12 10 - 2 |…Matrices and Determinants
Q4577Let λ R. The system of linear equations 2x₁ - 4x₂ + λ x₃ = 1 x₁ - 6x₂ + x₃ = 2 λ x₁ - 10x₂ + 4x₃ = 3 is inconsistent for:Matrices and Determinants
Q4685If the common tangent to the parabolas, y² = 4x and x² = 4y also touches the circle, x² + y² = c², then c is equal to:Coordinate Geometry
Q5083The product of the roots of the equation 9x² - 18|x| + 5 = 0 is:Complex Numbers and Quadratic Equations
Q5212If 3^(2 sin 2α - 1), 14 and 3^(4 - 2 sin 2α) are the first three terms of an A.P. for some α, then the sixth terms of this A.P. is:Sequence and Series
Q5310If 2¹⁰ + 2⁹.3¹ + 2⁸.3² +.....+ 2.3⁹ + 3¹⁰ = S - 2¹¹, then S is equal to:Sequence and Series
Q5405A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and…Sets, Relations and Functions
Q5454The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining…Statistics and Probability
Q5726If the volume of a parallelopiped, whose coterminus edges are given by the vectors a = i + j + n k, b = 2 i + 4 j - n k and c = i + n j + 3 k (n ≥ 0), is 158…Vector Algebra