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JEE Main 2019 8 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20198 Apr, Evening shift

Physics 19Chemistry 19Mathematics 29

Physics

Q5877A circuit connected to an ac source of emf e = e₀sin(100t) with t in seconds, gives a phase difference of π /4 between the emf e and current i. Which of the…Electromagnetic Induction and Alternating Currents
Q6096The ratio of mass densities of nuclei of ⁴⁰Ca and ¹⁶O is close to:-Atoms and Nuclei
Q6185A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC charge. The potential difference…Electrostatics
Q6213A body of mass m₁ moving with an unknown velocity of v₁ i^, undergoes a collinear collision with a body of mass m₂ moving with a velocity v₂ i^. After…Rotational Motion
Q6309In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antennas. If the height of the receiving…Communication Systems
Q6427A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum…Current Electricity
Q6543A nucleus A, with a finite de-broglie wavelength λ A, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as…Dual Nature of Matter and Radiation
Q6750The magnetic field of an electromagnetic wave is given by:- B^ → = 1.6 × 10⁻⁶ cos (2 × 10⁷z + 6 × 10¹⁵t)(2 i^ + j^)Wb/(m²) The associated electric field will…Electromagnetic Waves
Q7009The electric field in a region is given by E^ → = (Ax + B) i^, where E is in NC^–1 and x is in metres. The values of constants are A = 20 SI unit and B = 10…Electrostatics
Q7037A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm apart from each other. The…Optics
Q7183A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy delivered by the rocket launcher, what should be the…Gravitation
Q7368The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to: [Boltzmann Constant…Kinetic Theory of Gases
Q7933Young's moduli of two wires A and B are in the ratio 7: 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires…Properties of Solids and Liquids
Q8050An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a uniform electric field E. If…Rotational Motion
Q8120A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will…Oscillations and Waves
Q8227If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear…Units and Measurements
Q8297In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second…Units and Measurements
Q8372Let | A₁^ → | = 3, | A₂^ → | = 5 and | A₁^ → + A₂^ → | = 5. The value of (2 A₁^ → + 3 A₂^ →)(3 A₁^ → - 2A₂^ →) is:-Kinematics
Q8397Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star:-Optics

Chemistry

Q72Which of the following compounds will show the maximum 'enol' content?Some Basic Principles of Organic Chemistry
Q159Fructose and glucose can be distinguished by:Biomolecules
Q261The covalent alkaline earth metal halide (X = Cl, Br, I) is:Chemical Bonding and Molecular Structure
Q364Among the following molecules / ions, C₂²⁻,N₂²⁻,O₂²⁻,O₂ which one is diamagnetic and has the shortest bond length?Chemical Bonding and Molecular Structure
Q410For the following reactions, equilibrium constants are given: S(s) + O₂(g) ⇋ SO₂(g); K₁ = 10⁵² 2S(s) + 3O₂(g) ⇋ 2SO₃(g); K₂ = 10¹²⁹ The equilibrium constant…Equilibrium
Q506For a reaction scheme A k₁ B k₂ C, if the rate of formation of B is set to be zero then the concentration of B is given by:Chemical Kinetics
Q560The compound that inhibits the growth of tumors is:Coordination Compounds
Q719The calculated spin-only magnetic moments (BM) of the anionic and cationic species of [Fe(H₂O)₆]₂ and [Fe(CN)₆], respectively, are:Coordination Compounds
Q867The statement that is INCORRECT about the interstitial compounds is:d- and f-Block Elements
Q988Calculate the standard cell potential in (V) of the cell in which following reaction takes place: Fe²⁺(aq) + Ag⁺(aq) → Fe³⁺(aq) + Ag (s) Given that E_ A g⁺…Redox Reactions and Electrochemistry
Q1087The maximum prescribed concentration of copper in drinking water is:Environmental Chemistry
Q1146Which one of the following alkenes when treated with HCl yields majorly an anti Markovnikov product?Organic Compounds Containing Halogens
Q1165Polysubstitution is a major drawback in:Hydrocarbons
Q1215The strength of 11.2 volume solution of H₂O₂ is: [Given that molar mass of H = 1 g mol–1 and O = 16 g mol^–1]Hydrogen
Q1434The Mond process is used for theIsolation of Elements
Q19450.27 g of a long chain fatty acid was dissolved in 100 cm³ of hexane. 10 mL of this solution was added dropwise to the surface of water in a round watch…Solid State
Q2092The percentage composition of carbon by mole in methane is:Some Basic Concepts in Chemistry
Q2176If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength λ, then for 1.5 p momentum of the…Atomic Structure
Q23175 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If C V = 28 JK^–1mol^–1, calculate Δ U and…Chemical Thermodynamics

Mathematics

Q2377If a point R(4, y, z) lies on the line segment joining the points P(2, –3, 4) and Q(8, 0, 10), then the distance of R from the origin is:Three Dimensional Geometry
Q2412The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y+ 4z = 5 which is perpendicular to the plane x – y +…Three Dimensional Geometry
Q2641The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 isLimit, Continuity and Differentiability
Q2771Given that the slope of the tangent to a curve y = y(x) at any point (x, y) is 2y x². If the curve passes through the centre of the circle x² + y² – 2x – 2y =…Limit, Continuity and Differentiability
Q2882Let S(α) = (x, y): y² ≤ x, 0 ≤ x ≤ α and A(α) is area of the region S(α). If for a λ, 0 < λ < 4, A(λ): A(4) = 2: 5, then λ equalsIntegral Calculus
Q2918If the fourth term in the binomial expansion of (√(x^((1/(1 + log ₁₀x)))) + x^(1/12))⁶ is equal to 200, and x > 1, then the value of x is:Binomial Theorem and Its Simple Applications
Q3123The tangent and the normal lines at the point (3, 1) to the circle x² + y² = 4 and the x-axis form a triangle. The area of this triangle (in square units) is:Coordinate Geometry
Q3240If z = (3)/2 + i/2(i = √(- 1)), then (1 + iz + z⁵ + iz⁸)⁹ is equal to:Complex Numbers and Quadratic Equations
Q3362Let f(x) = ∫₀ˣ g(t)dt where g is a non-zero even function. If ƒ(x + 5) = g(x), then ∫₀ˣ f(t)dt equals-Integral Calculus
Q3657If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of ƒ(ƒ(ƒ(x))) + (ƒ(x))² at x = 1 is:Limit, Continuity and Differentiability
Q3753In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5 3), then the…Coordinate Geometry
Q3854Let ƒ(x) = aˣ (a > 0) be written as ƒ(x) = ƒ₁ (x) + ƒ₂ (x), where ƒ₁ (x) is an even function of ƒ₂ (x) is an odd function. Then ƒ₁ (x + y) + ƒ₁ (x – y) equalsSets, Relations and Functions
Q3916Two vertical poles of heights, 20 m and 80 m stand a part on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the…Height and Distance
Q3987If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to the hyperbola at (4,6) is:Coordinate Geometry
Q4014If ∫ dx/(x³(1 + x⁶)^(2/3)) = xf(x)(1 + x⁶)^(1/3) + C where C is a constant of integration, then the function ƒ(x) is equal toIntegral Calculus
Q4134Let ƒ: [–1,3] → R be defined as f(x) = \ | x | + [ x ], - 1 ≤ x < 1 x + | x |, 1 ≤ x < 2 x + [ x ], 2 ≤ x ≤ 3. where [t] denotes the greatest integer less…Limit, Continuity and Differentiability
Q4186Let ƒ: R → R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then lim x → 0 ((1 + f(3 + x) - f(3))/(1 + f(2 - x) - f(2)))^(1/x) is equal toLimit, Continuity and Differentiability
Q4324Which one of the following statements is not a tautology?Mathematical Reasoning
Q4452Let the number 2,b,c be in an A.P. and A = [ 1 1 1 2 b c 4 b² c² ]. If det(A) [2, 16], then c lies in the interval:Matrices and Determinants
Q4739The tangent to the parabola y² = 4x at the point where it intersects the circle x² + y² = 5 in the first quadrant, passes through the point:Coordinate Geometry
Q4792The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0,1,2,3,4,5 (repetition of digits is allowed) is:Permutations and Combinations
Q4908The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is:Statistics and Probability
Q5094The number of integral values of m for which the equation (1 + m²)x² – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is:Complex Numbers and Quadratic Equations
Q5249If three distinct numbers a, b, c are in G.P. and the equations ax² + 2bx + c = 0 and dx² + 2ex + ƒ = 0 have a common root, then which one of the following…Sequence and Series
Q5305The sum Σ k = 1 ²⁰ k1/(2^(k)) is equal toSequence and Series
Q5439A student scores the following marks in five tests: 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests…Statistics and Probability
Q5502Suppose that the points (h,k), (1,2) and (–3,4) lie on the line L₁. If a line L₂ passing through the points (h,k) and (4,3) is perpendicular to L₁, then k h…Coordinate Geometry
Q5606If the system of linear equations x – 2y + kz = 1 2x + y + z = 2 3x – y – kz = 3 has a solution (x,y,z), z ≠ 0, then (x,y) lies on the straight line whose…Coordinate Geometry
Q5806Let a^ → = 3 i^ + 2 j^ + x k^ and b^ → = i^ - j^ + k^, for some real x. Then | a^ → × b^ → | = r is possible if:Vector Algebra