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

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JEE Main 20205 Sep, Evening shift

Physics 17Chemistry 14Mathematics 25

Physics

Q45The surface of a metal is illuminated alternately with photons of energies E₁ = 4 eV and E₂ = 2.5 eV respectively. The ratio of maximum speeds of the…Dual Nature of Matter and Radiation
Q48A prism of angle A = 1^(o) has a refractive index μ = 1.5. A good estimate for the minimum angle of deviation (in degrees) is close to N/10. Value of N is _ _.Optics
Q59A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the…Work, Energy and Power
Q6100A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the second is 100 s. The effective half life…Atoms and Nuclei
Q6153A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a battery of emf V. A dielectric slab of the…Electrostatics
Q6464A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6 mA it produces a deflection of…Current Electricity
Q6837The correct match between the entries in column I and column II are: I II Radiation Wavelength (a) Microwave (i) 100 m (b) Gamma rays (ii) 10^–15 m (c) A.M…Electromagnetic Waves
Q7016Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1, 3, 5, 7…Electrostatics
Q7140The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through the pole is ω. An…Gravitation
Q7480In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found to be n times the initial…Thermodynamics
Q7518Two different wires having lengths L₁ and L₂, and respective temperature coefficient of linear expansion α ₁ and α ₂, are joined end-to-end. Then the…Properties of Solids and Liquids
Q7582A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate (dM(t))/dt = bv²(t), where v(t) is its instantaneous…Laws of Motion
Q7726An iron rod of volume 10^–3 m³ and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a current of 0.5 A is passed through the…Magnetic Effects of Current and Magnetism
Q7902In an experiment to verify Stokes law, a small spherical ball of radius r and density ρ falls under gravity through a distance h in air before entering a tank…Properties of Solids and Liquids
Q8093A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T₁ and, (ii) back and forth in a direction…Rotational Motion
Q8233The quantities x = 1/(√(μ ₀ε ₀)), y = E/B and z = l/CR are defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and ε ₀, μ…Units and Measurements
Q8529A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from 440 Hz to 480 Hz, when it gets reflected from the…Oscillations and Waves

Chemistry

Q1The number of chiral carbons present in sucrose is _ _ _.Biomolecules
Q3For a reaction X + Y ⇌ 2Z, 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At equilibrium, the concentration of Z…Equilibrium
Q4Considering that Δ ₀ > P, the magnetic moment (in BM) of [Ru(H₂O)₆]²⁺ would be _ _ _ _ _.Coordination Compounds
Q12The volume, in mL, of 0.02 M K₂Cr₂O₇ solution required to react with 0.288 g of ferrous oxalate in acidic medium is _ _ _ _. (Molar mass of Fe = 56 g mol^–1)Redox Reactions and Electrochemistry
Q294The compound that has the largest H–M–H bond angle (M = N, O, S, C) is:Chemical Bonding and Molecular Structure
Q679Consider the complex ions, trans-[Co(en)₂Cl₂]⁺ (A) and cis-[Co(en)₂Cl₂]⁺ (B). The correct statement regarding them is:Coordination Compounds
Q1198The one that is NOT suitable for the removal of permanent hardness of water is:Hydrogen
Q1217Hydrogen peroxide, in the pure state, is:Hydrogen
Q1452Boron and silicon of very high purity can be obtained through:p-Block Elements
Q1553The correct order of the ionic radii of O²–, N³–, F^–, Mg²⁺, Na⁺ and Al³⁺ is:Classification of Elements and Periodicity in Properties
Q1684Which one of the following polymers is not obtained by condensation polymerisation?Polymers
Q1938An element crystallises in a face-centred cubic (fcc) unit cell with cell edge a. The distance between the centres of two nearest octahedral voids in the…Solid State
Q2183The correct statement about probability density (except at infinite distance from nucleus) is:Atomic Structure
Q2356Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol^–1, and 4 kJ mol^–1, respectively. The hydration enthalpy of NaCl is:Chemical Thermodynamics

Mathematics

Q19If the lines x + y = a and x – y = b touch the curve y = x² – 3x + 2 at the points where the curve intersects the x-axis, then a/b is equal to _ _ _ _.Limit, Continuity and Differentiability
Q22The coefficient of x⁴ in the expansion of (1 + x + x² + x³)⁶ in powers of x, is _ _ _.Binomial Theorem and Its Simple Applications
Q27Let A = a, b, c and B = 1, 2, 3, 4. Then the number of elements in the set C = f: A → B | 2 f(A) and f is not one-one is _ _ _.Sets, Relations and Functions
Q35In a bombing attack, there is 50% chance that a bomb will hit the target. Atleast two independent hits are required to destroy the target completely. Then the…Statistics and Probability
Q41Let the vectors a, b, c be such that | a | = 2, | b | = 4 and | c | = 4. If the projection of b on a is equal to the projection of c on a and b is…Vector Algebra
Q2420If for some α R, the lines L₁: (x + 1)/2 = (y - 2)/(- 1) = (z - 1)/1 and L₂: (x + 2)/(α) = (y + 1)/(5 - α) = (z + 1)/1 are coplanar, then the line L₂ passes…Three Dimensional Geometry
Q2648If x = 1 is a critical point of the function f(x) = (3x² + ax – 2 – a)eˣ, then:Limit, Continuity and Differentiability
Q2774Which of the following points lies on the tangent to the curve x⁴e^(y) + 2 √(y + 1) = 3 at the point (1, 0)?Limit, Continuity and Differentiability
Q2823The area (in sq. units) of the region A = (x, y): (x – 1)[x] ≤ y ≤ 2 x, 0 ≤ x ≤ 2, where [t] denotes the greatest integer function, is:Integral Calculus
Q3049If the length of the chord of the circle, x² + y² = r² (r > 0) along the line, y – 2x = 3 is r, then r² is equal to:Coordinate Geometry
Q3242The value of ((- 1 + i 3)/(1 - i))³⁰ is:Complex Numbers and Quadratic Equations
Q3525Let y = y(x) be the solution of the differential equation cosx dy/dx + 2ysinx = sin2x, x (0,(π)/2). If y ((π)/3) = 0, then y ((π)/4) is equal to:Differential Equations
Q3654The derivative of tan ⁻¹((√(1 + x²) - 1)/x) with respect to tan ⁻¹((2x√(1 - x²))/(1 - 2x²)) at x = 1/2 is:Limit, Continuity and Differentiability
Q3938If the line y = mx + c is a common tangent to the hyperbola (x²)/100 - (y²)/64 = 1 and the circle x² + y² = 36, then which one of the following is true?Coordinate Geometry
Q4022If ∫ (cos θ)/(5 + 7 sin θ - 2 cos ²θ) dθ = A log e | B(θ) | + C, where C is a constant of integration, then (B(θ))/A can be:Integral Calculus
Q4253lim x → 0 (x(e^((√(1 + x² + x⁴) - 1)/x) - 1))/(√(1 + x² + x⁴) - 1)Limit, Continuity and Differentiability
Q4329The statement (p → (q → p)) → (p → (p q)) is:Mathematical Reasoning
Q4461If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then | x a + y x + a y b + y y + b z c + y z + c | is equal to:Matrices and Determinants
Q4576If the system of linear equations x + y + 3z = 0 x + 3y + k²z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for some k R, then x + (y/z) is equal to:Matrices and Determinants
Q4773There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one…Permutations and Combinations
Q5140If α and β are the roots of the equation, 7x² – 3x – 2 = 0, then the value of (α)/(1 - α ²) + (β)/(1 - β ²) is equal to:Complex Numbers and Quadratic Equations
Q5259If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the…Sequence and Series
Q5311If the sum of the first 20 terms of the series log (7^(1/2)) x + log (7^(1/3)) x + log (7^(1/4)) x +... is 460, then x is equal to:Sequence and Series
Q5453If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equation:Statistics and Probability
Q5654If L = sin² ((π)/16) - sin² ((π)/8) and M = cos² ((π)/16) - sin² ((π)/8), then:Trigonometry