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

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JEE Main 20198 Apr, Morning shift

Physics 20Chemistry 20Mathematics 30

Physics

Q5878An alternating voltage v(t) = 220 sin 100 π t volt is applied to a purely resistance load of 50 Ω. The time taken for the current to rise from half of the…Electromagnetic Induction and Alternating Currents
Q5990Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He⁺ ions in n = 1 and n = 2 states. The possible transition of helium ions as they…Atoms and Nuclei
Q6151Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 10⁶ V/m. The plate area is 10^–4 m². What is…Electrostatics
Q6210If 10²² gas molecules each of mass 10^–26 kg collide with a surface (perpendicular to it) elastically per second over an area 1 m² with a speed 10⁴ m/s, the…Rotational Motion
Q6308The wavelength of the carrier waves in a modern optical fiber communication network is close to:Communication Systems
Q6379A 200 Ω resistor has a certain color code. If one replaces the red color by green in the code, the new resistance will be:Current Electricity
Q6542Two particles move at right angle to each other. Their de-Broglie wavelengths are λ ₁ and λ ₂ respectively. The particles suffer perfectly inelastic…Dual Nature of Matter and Radiation
Q6751A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is…Electromagnetic Waves
Q6961The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of intensity 2000 V/m. At equilibrium…Electrostatics
Q7010A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the…Electrostatics
Q7038An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mirror of focal length 10 cm is placed at…Optics
Q7451A thermally insulated vessel contains 150g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and…Properties of Solids and Liquids
Q7723A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B i^. The torque on the coil due to the…Magnetic Effects of Current and Magnetism
Q7816Ship A is sailing towards north-east with velocity v^ → = 30 i^ + 50 j^ km/hr where i^ points east and j^, north. Ship B is at a distance of 80 km east and…Kinematics
Q7898Water from a pipe is coming at a rate of 100 litres per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of…Properties of Solids and Liquids
Q7932A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1 p ms^–2, what will be the tensile stress that…Properties of Solids and Liquids
Q8002A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass. The boy keeps a stone weighing 0.02kg…Properties of Solids and Liquids
Q8090A thin circular plate of mass M and radius R has its density varying as ρ (r) = ρ ₀r with ρ ₀ as constant and r is the distance from its centre. The moment of…Rotational Motion
Q8228In SI units, the dimensions of √((₀)/(μ ₀)) is:Units and Measurements
Q8421In an interference experiment the ratio of amplitudes of coherent waves is a₁/a₂ = 1/3. The ratio of maximum and minimum intensities of fringes will be:Optics

Chemistry

Q71In the following compounds, the decreasing order of basic strength will be:Some Basic Principles of Organic Chemistry
Q160Maltose on treatment with dilute HCI gives:Biomolecules
Q498For the reaction 2A + B → C, the values of initial rate at diffrent reactant concentrations are given in the table below. The rate law for the reaction is…Chemical Kinetics
Q527Which of the following amines can be prepared by Gabriel phthalimide reaction ?Organic Compounds Containing Nitrogen
Q612The correct order of the spin-only magnetic moment of metal ions in the following low-spin complexes, [V(CN)₆]⁴–,[Fe(CN)₆]⁴–, [Ru(NH₃)₆]³⁺, and [Cr(NH₃)₆]²⁺…Coordination Compounds
Q989Given that E^Θ O₂/H₂O = 1.23 V; E^Θ S₂O₈²⁻/SO₄²⁻ = 2.05 V E^Θ _ B r₂ /B r^ - = 1.09 V E^Θ _ A u³⁺ /Au = 1.4 V The strongest oxidizing agent is:Redox Reactions and Electrochemistry
Q1057Assertion: Ozone is destroyed by CFCs in the upper stratosphere. Reason: Ozone holes increase the amount of UV radiation the earth.Environmental Chemistry
Q1058Which is wrong with respect to our responsiblity as a human being to protect our environment?Environmental Chemistry
Q1194100 mL of a water sample contains 0.81 g of calcium bicrabonate and 0.73 g of magnesium bicarbonate. The hardness of this water sample expressed in terms of…Hydrogen
Q1333If solublity product of Zr₃(PO₄)₄ is denoted by K s p and its molar solubility is denoted by S, then which of the following relation between S and K s p is…Equilibrium
Q1366With respect to an ore, Ellingham diagram helps to predict the feasibility of its.Isolation of Elements
Q1567The size of the iso-electronic species Cl^–, Ar and Ca²⁺ is affected by:Classification of Elements and Periodicity in Properties
Q1649The lathanide ion that would show colour is:Classification of Elements and Periodicity in Properties
Q1792In order to oxidise a mixture of one mole of each of FeC₂O₄, Fe₂(C₂O₄)₃, FeSO₄ and Fe₂(SO₄)₃ in acidic medium, the number of moles of KMnO₄ required is:Redox Reactions and Electrochemistry
Q1849The correct order of hydration enthapies of alkali metal ions is:S Block Elements
Q1924Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids, The structure of…Solid State
Q2014The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on mixing the two liquids, the sum of their initial volume is equal…Solutions
Q2198The quantum number of four electrons are given below: n = 4, l = 2, m l =–2, m s = –1/2 n = 3, l = 2, m l = 1, m s = +1/2 n = 4, l = 1, m l = 0, m s = +1/2 n…Atomic Structure
Q2320Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume…Chemical Thermodynamics
Q2353For silver, C p (J K^–1 mol^–1) = 23 +0.01 T. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of Δ H…Chemical Thermodynamics

Mathematics

Q2411The equation of a plane containing the line of intersection of the planes 2x – y – 4 = 0 and y + 2z – 4 = 0 and passing through the point (1, 1, 0) is:Three Dimensional Geometry
Q2490The length of the perpendicular from the point (2, –1, 4) on the straight line, (x + 3)/10 = (y - 2)/(-7) = z/1 is:Three Dimensional Geometry
Q2566The magnitude of the projection of the vector 2i^ + 3j^ + k^ on the vector perpendicular to the plane containing the vectors i^ + j^ + k^ and i^ + 2j^ + 3k^…Three Dimensional Geometry
Q2642If S₁ and S₂ are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x⁴ + 12x³ – 36x² + 25, x R, then:Limit, Continuity and Differentiability
Q2710Let ƒ: [0, 2] → R be a twice differentiable function such that ƒ''(x) > 0, for all x (0, 2). If φ (x) = ƒ(x) + ƒ(2 – x), then φ is:Limit, Continuity and Differentiability
Q2881The area (in sq. units) of the region A = (x, y) R × R| 0 ≤ x ≤ 3, 0 ≤ y ≤ 4, y ≤ x² + 3x is:Integral Calculus
Q2982The sum of the co-efficients of all even degree terms in x in the expansion of (x + √(x³ - 1))⁶ + (x - √(x³ - 1))⁶, (x > 1) is equal to:Binomial Theorem and Its Simple Applications
Q2988The sum of the series 2.²⁰C₀ + 5.²⁰C₁ + 8.²⁰C₂ + 11.²⁰C₃ +... +62.²⁰C₂₀ is equal to:Binomial Theorem and Its Simple Applications
Q3081The sum of the squares of the lengths of the chords intercepted on the circle, x² + y² = 16, by the lines, x + y = n, n N, where N is the set of all natural…Coordinate Geometry
Q3275If α and β be the roots of the equation x² – 2x + 2 = 0, then the least value of n for which ((α)/(β))ⁿ = 1 is:Complex Numbers and Quadratic Equations
Q3369If f(x) = (2 - x cos x)/(2 + x cos x) and g(x) = log e x, (x > 0) then the value of integral ∫ - (π)/4 ^((π)/4) g(f(x))dx isIntegral Calculus
Q3592Let y = y(x) be the solution of the differential equation, (x² + 1)²dy/dx + 2x(x² + 1)y = 1 such that y(0) = 0. If ay(1) = π 32, then the value of 'a' is:Differential Equations
Q3678If 2y = (cot ⁻¹((3 cos x + sin x)/(cos x - 3 sin x)))², x (0,(π)/2) then dy dx is equal to:Limit, Continuity and Differentiability
Q3775If the tangents on the ellipse 4x² + y² = 8 at the points (1, 2) and (a, b) are perpendicular to each other, then a² is equal to:Coordinate Geometry
Q3860If f(x) = log e ((1 - x)/(1 + x)), | x | < 1 then f(2x/(1 + x²)) is equal toSets, Relations and Functions
Q4050∫ (sin 5x/2)/(sin x/2)dx is equal to (where c is a constant of integration)Integral Calculus
Q4093If α = cos ⁻¹(3/5), β = tan ⁻¹(1/3) where 0 < α,β < (π)/2, then α - β is equal to:Trigonometry
Q4274lim x → 0 (sin ²x)/(2 - √(1 + cos x)) equals:Limit, Continuity and Differentiability
Q4410The contrapositive of the statement "If you are born in India, then you are a citizen of India", is:Mathematical Reasoning
Q4499Let A = (cos α - sin α sin α cos α), (α R) such that A³² = (0 - 1 1 0) then a value of α isMatrices and Determinants
Q4567The greatest value of c R for which the system of linear equations x – cy – cz = 0 cx – y + cz = 0 cx + cy – z = 0 has a non-trivial solution, is:Matrices and Determinants
Q4738The shortest distance between the line y = x and the curve y² = x – 2 is:Coordinate Geometry
Q4791All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even…Permutations and Combinations
Q4950Let A and B be two non-null events such that A B. Then, which of the following statements is always correct?Statistics and Probability
Q5080The sum of the solutions of the equation | x - 2 | + x (x - 4) + 2 = 0 (x > 0) is equal to:Complex Numbers and Quadratic Equations
Q5210The sum of all natural numbers 'n' such that 100 < n < 200 and H.C.F. (91, n) > 1 is:Sequence and Series
Q5443The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two…Statistics and Probability
Q5567Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of Δ AOP is 4, is:Coordinate Geometry
Q5610A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in:Coordinate Geometry
Q5635If cos(α + β) = 3/5,sin (α - β) = 5/13 and 0 < α, β < π 4, then tan(2 α) is equal to:Trigonometry