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JEE Main 2020 4 Sep Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20204 Sep, Evening shift

Physics 19Chemistry 16Mathematics 25

Physics

Q48The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the screen for two different positions between the…Optics
Q50The change in the magnitude of the volume of an ideal gas when a small additional pressure Δ P is applied at a constant temperature, is the same as the change…Thermodynamics
Q59Orange light of wavelength 6000 × 10^–10 m illuminates a single slit of width 0.6 × 10^–4 m. The maximum possible number of diffraction minima produced on…Optics
Q5948A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the energy stored in the inductor…Electromagnetic Induction and Alternating Currents
Q6048Find the Binding energy per neucleon for ₅₀¹²⁰Sn. Mass of proton m p = 1.00783 U, mass of neutron m n = 1.00867 U and mass of tin nucleus m S n = 119.902199…Atoms and Nuclei
Q6178A capacitor C is fully charged with voltage V₀. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of…Electrostatics
Q6760The electric field of a plane electromagnetic wave is given by E = E₀(x + y) sin (kz - ω t) Its magnetic field will be given by:Electromagnetic Waves
Q6964A particle of charge q and mass m is subjected to an electric field E = E₀ (1 – a x²) in the x-direction, where a and E₀ are constants. Initially the particle…Electrostatics
Q7191A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the…Gravitation
Q7481Match the thermodynamic processes taking place in a system with the correct conditions. In the table: Δ Q is the heat supplied, Δ W is the work done and Δ U…Thermodynamics
Q7584A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv² where v is its speed. The maximum height…Laws of Motion
Q7640A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is…Magnetic Effects of Current and Magnetism
Q7725A circular coil has moment of inertia 0.8 kg m² around any diameter and is carrying current to produce a magnetic moment of 20 Am². The coil is kept initially…Magnetic Effects of Current and Magnetism
Q7903Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the…Properties of Solids and Liquids
Q7936A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is close to: (Given bulk modulus…Properties of Solids and Liquids
Q8094Consider two uniform discs of the same thickness and different radii R₁ = R and R₂ = α R made of the same material. If the ratio of their moments of inertia…Rotational Motion
Q8234A quantity x is given by (IF v² W L⁴) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is same as that…Units and Measurements
Q8531The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from 420 Hz to 490 Hz when he hears it after it gets reflected…Oscillations and Waves
Q8619A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired…Work, Energy and Power

Chemistry

Q1The number of chiral centres present in threonine is _ _ _ _.Biomolecules
Q10A 100 mL solution was made by adding 1.43 g of Na₂CO₃.xH₂O. The normality of the solution is 0.1 N. The value of x is _ _ _. (The atomic mass of Na is 23 g/mol)Redox Reactions and Electrochemistry
Q12The osmotic pressure of a solution of NaCl is 0.10 atm and that of a glucose solution is 0.20 atm. The osmotic pressure of a solution formed by mixing 1 L of…Solutions
Q13Consider the following equations: 2Fe²⁺ + H₂O₂ → xA + yB (in basic medium) 2MnO₄⁻ + 6H⁺ + 5H₂O₂ → x'C + y'D + z'E (in acidic medium) The sum of the…Some Basic Concepts in Chemistry
Q417If the equilibrium constant for A ⇌ B + C is K eq ^((1)) and that of B + C ⇌ P is K eq ^((2)), the equilibrium constant for A ⇌ P is:Equilibrium
Q618The one that can exhibit highest paramagnetic behaviour among the following is: gly = glycinato; bpy = 2, 2'-bipyridineCoordination Compounds
Q619The Crystal Field Stabilization Energy (CFSE) of [CoF₃(H₂O)₃] (Δ ₀ < P) is:Coordination Compounds
Q727The molecule in which hybrid MOs involve only one d-orbital of the central atom is:Coordination Compounds
Q871The incorrect statement(s) among (a) - (c) is (are) (a) W(VI) is more stable than Cr(VI). (b) In the presence of HCl, permanganate titrations provide…d- and f-Block Elements
Q942250 mL of a waste solution obtained from the workshop of a goldsmith contains 0.1 M AgNO₃ and 0.1 M AuCl. The solution was electrolyzed at 2V by passing a…Redox Reactions and Electrochemistry
Q1062The processes of calcination and roasting in metallurgical industries, respectively, can Iead to:Environmental Chemistry
Q1881An alkaline earth metal ‘M’ readily forms water soluble sulphate and water insoluble hydroxide. Its oxide MO is very stable to heat and does not have…S Block Elements
Q2165The shortest wavelength of H atom in the Lyman series is λ ₁. The longest wavelength in the Balmar series of He⁺ is:Atomic Structure
Q2248A sample of red ink (a colloidal suspension) is prepared by mixing eosin dye, egg white, HCHO and water. The component which ensures stability of the ink…Surface Chemistry
Q2322Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is:Chemical Thermodynamics
Q2357The process that is NOT endothermic in nature is:Chemical Thermodynamics

Mathematics

Q21Let PQ be a diameter of the circle x² + y² = 9. If α and β are the lengths of the perpendiculars from P and Q on the straight line, x + y = 2 respectively…Coordinate Geometry
Q25Let x and [x] denote the fractional part of x and the greatest integer ≤ x respectively of a real number x. If ∫₀ⁿ x,∫₀ⁿ [ x ]dx and 10(n² – n), (n N,n > 1)…Integral Calculus
Q34A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of ways, in which a candidate…Permutations and Combinations
Q40If the variance of the following frequency distribution: Class: 10–20 20–30 30–40 Frequency: 2 x 2 is 50, then x is equal to _ _Statistics and Probability
Q42If a = 2 i + j + 2 k, then the value of | i × (a × i) |² + | j × (a × j) |² + | k × (a × k) |² is equal to _ _Vector Algebra
Q2421The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line x/2 = y/3 = z/(- 6) is:Three Dimensional Geometry
Q2650The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x²–1 below the…Limit, Continuity and Differentiability
Q2989If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)ⁿ + 5 are in the ratio 5: 10: 14, then the…Binomial Theorem and Its Simple Applications
Q3071The circle passing through the intersection of the circles, x² + y² – 6x = 0 and x² + y² – 4y = 0, having its centre on the line, 2x – 3y + 12 = 0, also…Coordinate Geometry
Q3234If a and b are real numbers such that (2 + α)⁴ = a + bα where α = (- 1 + i 3)/2 then a + b is equal to:Complex Numbers and Quadratic Equations
Q3381The integral ∫ (π)/6 ^((π)/3) tan ³x. sin ²3x(2 sec ²x. sin ²3x + 3 tan x. sin 6x)dx is equal to:Integral Calculus
Q3596The solution of the differential equation dy/dx - (y + 3x)/(log e (y + 3x)) + 3 = 0 is: (where c is a constant of integration)Differential Equations
Q3731Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is 1/2. If P(1, β), β > 0 is a point on this ellipse, then the…Coordinate Geometry
Q3919The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the image of C in the lake from the point P…Height and Distance
Q4194Let f:(0,∞) → (0,∞) be a differentiable function such that f(1) = e and lim t → x (t²f²(x) - x²f²(t))/(t - x) = 0. If f(x) = 1, then x is equal to:Limit, Continuity and Differentiability
Q4195The function f(x) = \ (π)/4 + tan ⁻¹x, | x | ≤ 1 1/2(| x | - 1), | x | > 1. is:Limit, Continuity and Differentiability
Q4413Contrapositive of the statement: ‘If a function f is differentiable at a, then it is also continuous at a’, is:Mathematical Reasoning
Q4578If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+ λ z= μ has infinitely many solutions, thenMatrices and Determinants
Q4579Suppose the vectors x₁, x₂ and x₃ are the solutions of the system of linear equations, Ax = b when the vector b on the right side is equal to b₁, b₂ and b₃…Matrices and Determinants
Q4953In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on the two dice, in each throw is noted. A…Statistics and Probability
Q5141Let λ ≠ 0 be in R. If α and β are the roots of the equation, x² - x + 2 λ = 0 and α and γ are the roots of the equation, 3x² - 10x + 27λ = 0, then (β γ)/(λ)…Complex Numbers and Quadratic Equations
Q5179The minimum value of 2^(s)inx + 2^(c)osx is:Sequence and Series
Q5213Let a₁, a₂,..., an be a given A.P. whose common difference is an integer and S n = a₁ + a₂ +.... + a n. If a₁ = 1, a n = 300 and 15 ≤ n ≤ 50, then the ordered…Sequence and Series
Q5359Let i = 1 ⁵⁰ X i = i = 1 ⁿ Y i = T where each X i contains 10 elements and each Y i contains 5 elements. If each element of the set T is an element of exactly…Sets, Relations and Functions
Q5611If the perpendicular bisector of the line segment joining the points P(1,4) and Q(k, 3) has y-intercept equal to –4, then a value of k is:Coordinate Geometry