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JEE Main 2020 8 Jan Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20208 Jan, Morning shift

Physics 16Chemistry 12Mathematics 25

Physics

Q42A body A, of mass m = 0.1 kg has an initial velocity of 3 i ms⁻¹. It collides elastically with another body, B of the same mass which has an initial velocity…Rotational Motion
Q45Four resistances of 15 Ω, 12 Ω, 4 Ω and 10 Ω respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel…Current Electricity
Q48A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive…Optics
Q52A particle is moving along the x-axis with its coordinate with the time 't' given be x(t) = 10 + 8t – 3t². Another particle is moving the y-axis with its…Kinematics
Q6168Effective capacitance of parallel combination of two capacitors C₁ and C₂ is 10 μF. When these capacitors are individually connected to a voltage source of…Electrostatics
Q6267A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length. The other end is fixed. The system is given an…Kinematics
Q6503The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resistance of 20 Ω, the null point on it is…Current Electricity
Q6635When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy T A eV end de-Broglie wavelength λ A…Dual Nature of Matter and Radiation
Q6982In finding the electric field using Gauss Law the formula | E | = (q enc)/(ε ₀| A |) is applicable. In the formula ε ₀ is permittivity of free space, A is the…Electrostatics
Q7064The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?Optics
Q7102The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability 4/3 for this wavelength, will be:Optics
Q7752Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 10¹² m/s² by an applied magnetic field (west to east). The value of…Magnetic Effects of Current and Magnetism
Q7989A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0°C such that its height…Properties of Solids and Liquids
Q7990Consider a solid sphere of radius R and mass density ρ (r) = ρ ₀(1 - (r²)/(R²)), 0 < r ≤ R The minimum density of a liquid in which it will float is:Properties of Solids and Liquids
Q8054Consider a uniform rod of mass M = 4m and length pivoted about its centre. A mass m moving with velocity v making angle θ = (π)/4 to the rod's long axis…Rotational Motion
Q8232The dimension of stopping potential V₀ in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere…Units and Measurements

Chemistry

Q25Arrange the following compounds in increasing order of C–OH bond length: methanol, phenol, p-ethoxyphenolOrganic Compounds Containing Oxygen
Q52The predominant intermolecular forces present in ethyl acetate, a liquid, are:Organic Compounds Containing Oxygen
Q124A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63^(o)C while the other boils at 60^(o)C What is the best way to…Some Basic Principles of Organic Chemistry
Q161Which of the following statement is not true for glucose?Biomolecules
Q448The rate of a certain biochemical reaction at physiological temperature (T) occurs 10⁶ times faster with enzyme than without. The change in the activation…Chemical Kinetics
Q684The complex that can show fac- and mer-isomers is:Coordination Compounds
Q1061Among the gases (a) – (e), the gases that cause greenhouse effect are: (a) CO₂ (b) H₂O (c) CFCs (d) O₂ (e) O₃Environmental Chemistry
Q1305The strength of an aqueous NaOH solution is most accurately determined by titrating: (Note: consider that an appropriate indicator is used)Equilibrium
Q1601The third ionization enthalpy is minimum for:Classification of Elements and Periodicity in Properties
Q1602The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are:Classification of Elements and Periodicity in Properties
Q2164For the Balmer series in the spectrum of H atom, ν = R H 1/(n₁²) - 1/(n₂²), the correct statements among (I) to (IV) are: (I) As wavelength decreases, the…Atomic Structure
Q2246As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order:Surface Chemistry

Mathematics

Q19Let the normal at a point P on the curve y² – 3x² + y + 10 = 0 intersect the y-axis at (0,3/2). If m is the slope of the tangent at P to the curve, then |m|…Limit, Continuity and Differentiability
Q30The number of all 3 × 3 matrices A, with enteries from the set –1, 0, 1 such that the sum of the diagonal elements of AA^(T) is 3, isMatrices and Determinants
Q33An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at the most three of them…Permutations and Combinations
Q35The least positive value of 'a' for which the equation 2x² + (a – 10)x + 33/2 = 2a has real roots isComplex Numbers and Quadratic Equations
Q37The sum Σ k = 1 ²⁰ (1 + 2 + 3 +... + k) is:Sequence and Series
Q2492The shortest distance between the lines (x - 3)/3 = (y - 8)/(- 1) = (z - 3)/1 and (x + 3)/(- 3) = (y + 7)/2 = (z - 6)/4 is:Three Dimensional Geometry
Q2699If c is a point at which Rolle's theorem holds for the function, f(x) = log e ((x² + α)/7x) in the interval [3, 4], where a R, then ƒ''(c) is equal toLimit, Continuity and Differentiability
Q2715Let ƒ(x) = xcos^–1(–sin|x|), x [ - (π)/2,(π)/2 ], then which of the following is true?Limit, Continuity and Differentiability
Q2828For a > 0, let the curves C₁: y² = ax and C₂: x² = ay intersect at origin O and a point P. Let the line x = b (0 < b < a) intersect the chord OP and the…Integral Calculus
Q3221If the equation, x² + bx + 45 = 0 (b R) has conjugate complex roots and they satisfy |z +1| = 2 √(10), then:Complex Numbers and Quadratic Equations
Q3601Let y = y(x) be a solution of the differential equation, √(1 - x²) dy/dx + √(1 - y²) = 0, |x| < 1. If y(1/2) = (3)/2, then y(- 1/(2)) is equal to:Differential Equations
Q3679Let ƒ(x) = (sin(tan^–1x) + sin(cot^–1x))² – 1, |x| > 1. If dy/dx = 1/2d/dx(sin ⁻¹(f(x))) and y(3) = (π)/6, then y(- 3) is equal to:Limit, Continuity and Differentiability
Q3730Let the line y = mx and the ellipse 2x² + y² = 1 intersect at a ponit P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes…Coordinate Geometry
Q3881The inverse function of f(x) = (8²ˣ - 8⁻²ˣ)/(8²ˣ + 8⁻²ˣ), x (-1, 1), is:Sets, Relations and Functions
Q4026If ∫ cos xdx sin ³x (1 + sin ⁶x)^(2/3) = f(x)(1 + sin ⁶x)^(1/λ) + c where c is a constant of integration, then λ f((π)/3) is equal toIntegral Calculus
Q4251lim x → 0 ((3x² + 2)/(7x² + 2))^(1/(x²)) is equal toLimit, Continuity and Differentiability
Q4335Which one of the following is a tautology?Mathematical Reasoning
Q4584For which of the following ordered pairs (μ, δ), the system of linear equations x + 2y + 3z = 1 3x + 4y + 5z = μ 4x + 4y + 4z = δ is inconsistent ?Matrices and Determinants
Q4696The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x² = 4y, internally in the ratio 1: 2, is:Coordinate Geometry
Q4828If a, b and c are the greatest value of ¹⁹C p, ²⁰C q and ²¹C r respectively, then:Permutations and Combinations
Q4955Let A and B be two independent events such that P(A) = 1/3 and P(B) = 1/6. Then, which of the following is TRUE?Statistics and Probability
Q5217Let ƒ: R → R be such that for all x R (2¹+x + 2¹–x), ƒ(x) and (3ˣ + 3^–x) are in A.P., then the minimum value of ƒ(x) isSequence and Series
Q5459The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 resepectively. Each of these 10 observations is multiplied by p and then reduced by…Statistics and Probability
Q5517Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of Δ PAB = 5 sq. units and it lies on the line, 3x + y – 4 λ = 0, then a…Coordinate Geometry
Q5724Let the volume of a parallelopiped whose coterminous edges are given by u = i + j + λ k, v = i + j + 3 k and w = 2 i + j + k be 1 cu. unit. If θ be the angle…Vector Algebra