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

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JEE Main 20204 Sep, Morning shift

Physics 16Chemistry 15Mathematics 25

Physics

Q41In the line spectra of hydrogen atoms, difference between the largest and the shortest wavelengths of the Lyman series is 304 A⁰. The corresponding difference…Atoms and Nuclei
Q45In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal length of its objective lens is 1 cm. If…Optics
Q49A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temperature…Thermodynamics
Q53A circular disc of mass M and radius R is rotating about its axis with angular speed ω ₁. If another stationary disc having radius R/2 and same mass M is…Rotational Motion
Q6430A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the…Current Electricity
Q6549Particle A of mass m A = m/2 moving along the x-axis with velocity v₀ collides elastically with another particle B at rest having mass m B = m/3. If both…Dual Nature of Matter and Radiation
Q6836Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:Electromagnetic Waves
Q7138On the x-axis and at a distance x from the origin, the gravitational field due a mass distribution is given by Ax/((x² + a²)^(3/2)) in the x-direction. The…Gravitation
Q7299Match the C P /C V ratio for ideal gases with different type of molecules: Molecule Type C P /C V (A) Monatomic (I) 7/5 (B) Diatomic rigid molecules (II) 9/7…Thermodynamics
Q7457The specific heat of water = 4200 J kg⁻¹K⁻¹ and the latent heat of ice = 3.4 × 10⁵ J kg^–1. 100 grams of ice at 0^(o)C is placed in 200 g of water at 25^(o)C…Properties of Solids and Liquids
Q7613A small bar magnet placed with its axis at 30^(o) with an external field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it…Magnetic Effects of Current and Magnetism
Q7819Starting from the origin at time t = 0, with initial velocity 5 j ms⁻¹, a particle moves in the x-y plane with a constant acceleration of (10 i + 4 j) ms⁻²…Kinematics
Q7988A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s^–2. The density of water is 1 gm cm^–3 and water offers negligible drag force on the…Properties of Solids and Liquids
Q8235Dimensional formula for thermal conductivity is (here K denotes the temperature):Units and Measurements
Q8463A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm⁻² falls normally on a polariser (cross sectional area 3 × 10⁻⁴…Optics
Q8501For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is…Oscillations and Waves

Chemistry

Q3If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _ _ _ _. (Take: log 2…Chemical Kinetics
Q10At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At the same temperature, if one more mole…Solutions
Q11A 20.0 mL solution containing 0.2 g impure H₂O₂ reacts completely with 0.316 g of KMnO₄ in acid solution. The purity of H₂O₂ (in%) is _ _ _ _ _ _ _ (mol. wt…Some Basic Concepts in Chemistry
Q12The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts with 1 kg of dihydrogen is _ _ _ _.Some Basic Concepts in Chemistry
Q163What are the functional groups present in the structure of maltose?Biomolecules
Q233Which of the following will react with CHCl₃ + alc. KOH?Biomolecules
Q680The number of isomers possible for [Pt(en)(NO₂)₂] is:Coordination Compounds
Q726The pair in which both the species have the same magnetic moment (spin only) is:Coordination Compounds
Q815The elements with atomic numbers 101 and 104 belong to, respectively:d- and f-Block Elements
Q1437Among statements (a) - (d), the correct ones are (a) Lime stone is decomposed to CaO during the extraction of iron from its oxides. (b) In the extraction of…Isolation of Elements
Q1554The ionic radii of O²–, F^–, Na⁺ and Mg²⁺ are in the order:Classification of Elements and Periodicity in Properties
Q1852On combustion of Li, Na and K in excess of air, the major oxides formed, respectively, are:S Block Elements
Q2166The region in the electromagnetic spectrum where the Balmar series lines appear is:Atomic Structure
Q2249Match the following: (i) Foam (a) smoke (ii) Gel (b) cell fluid (iii) Aerosol (c) jellies (iv) Emulsion (d) rubber (e) froth (f) MilkSurface Chemistry
Q2327For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature (b) Compressibility factor z is not equal…Chemical Thermodynamics

Mathematics

Q16If the equation of a plane P, passing through the intersection of the planes, x + 4y - z + 7 = 0 and 3x + y + 5z = 8 is ax + by + 6z = 15 for some a, b R…Three Dimensional Geometry
Q18Let (2x² + 3x + 4)¹⁰ = Σ r = 0 ²⁰ a r x^(r) Then a₇/(a₁₃) is equal to _ _ _.Binomial Theorem and Its Simple Applications
Q28Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy² + x²y, for all real x and y. lim x → 0 (f(x))/x = 1, then f'(3) is…Limit, Continuity and Differentiability
Q31If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has infinitely many solutions, then a - b is equal to.........Matrices and Determinants
Q32The probability of a man hitting a target is 1/10. The least number of shots required, so that the probability of his hitting the target at least once is…Statistics and Probability
Q2713Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) ≥ 1 and f''(x) ≥ 4, for all x (1, 6), then:Limit, Continuity and Differentiability
Q2990The value of Σ r = 0 ²⁰ ^(50 - r)C₆ is equal to:Binomial Theorem and Its Simple Applications
Q3182Let u = (2z + i)/(z - ki), z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersects the y-axis at the points P and Q where PQ = 5, then…Complex Numbers and Quadratic Equations
Q3380Let f(x) = | x - 2 | and g(x) = f(f(x)), x [ 0,4 ]. Then ∫₀³ (g(x) - f(x)) dx is equal to:Integral Calculus
Q3597Let y = y(x) be the solution of the differential equation, xy'- y = x²(xcosx + sinx), x > 0. if y (π) = π then y''((π)/2) + y((π)/2) is equal to:Differential Equations
Q3672If (a + 2 b cos x)(a - 2 b cos y) = a² - b² where a > b > 0, then dx/dy at((π)/4,(π)/4) is:Limit, Continuity and Differentiability
Q3756Let (x²)/(a²) + (y²)/(b²) = 1 (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value of the function, φ (t)…Coordinate Geometry
Q3952Let P(3, 3) be a point on the hyperbola, (x²)/(a²) - (y²)/(b²) = 1. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then…Coordinate Geometry
Q4024Let f(x) = ∫ (x)/((1 + x)²)dx(x ≥ 0). Then f(3) – f(1) is eqaul to:Integral Calculus
Q4052The integral ∫ (x/(x sin x + cos x))²dx is equal to (where C is a constant of integration):Integral Calculus
Q4331Given the following two statements: (S₁):(q p) → (p q) is a tautology (S₂): q (p q) is a fallacy. Then:Mathematical Reasoning
Q4490If A = [ cos θ i sin θ i sin θ cos θ ], (θ = (π)/24) and A⁵ = [ a b c d ], where i = √(- 1) then which one of the following is not true?Matrices and Determinants
Q5027A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If BAC = 90^(o) and area (Δ ABC) = 5 5 s units, then the abscissa of the…Properties of Triangle
Q5060Let [t] denote the greatest integer ≤ t. Then the equation in x, [x]² + 2[x+2] - 7 = 0 has:Complex Numbers and Quadratic Equations
Q5142Let α and β be the roots of x² - 3x + p=0 and γ and δ be the roots of x² - 6x + q = 0. If α, β, γ, δ form a geometric progression.Then ratio (2q + p): (2q…Complex Numbers and Quadratic Equations
Q5312If 1+(1–2².1)+(1–4².3)+(1-6².5)+......+(1-20².19)= α - 220 β, then an ordered pair (α,β) is equal to:Sequence and Series
Q5404A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read both the newspapers, then a possible…Sets, Relations and Functions
Q5455The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of…Statistics and Probability
Q5590Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is the point of intersection of…Coordinate Geometry
Q5725Let x₀ be the point of Local maxima of f(x) = a.(b × c), where a = x i - 2 j + 3 k, b = - 2 i + x j - k, c = 7 i - 2 j + x k. Then the value of a. b + b. c +…Vector Algebra