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JEE Main 2019 10 Jan Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 201910 Jan, Evening shift

Physics 22Chemistry 18Mathematics 29

Physics

Q6046Consider the nuclear fission Ne²⁰ → 2He⁴ + C¹² Given that the binding energy/ nucleon of Ne²⁰, He⁴ and C¹² are, respectively, 8.03 MeV, 7.07 MeV and 7.86 MeV…Atoms and Nuclei
Q6152A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between its plates. The charging battery is now…Electrostatics
Q6344The modulation frequency of an AM radio station is 250 kHz, which is 10% of the carrier wave. If another AM station approaches you for license what broadcast…Communication Systems
Q6424A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected…Current Electricity
Q6629A metal plate of area 1 × 10^–4 m² is illuminated by a radiation of intensity 16 mW/m². The work function of the metal is 5 eV. The energy of the incident…Dual Nature of Matter and Radiation
Q6685The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, the change in the energy of the…Electromagnetic Induction and Alternating Currents
Q6755The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression E (x,y) = 10 j cos [ (6x + 8z) ]. The…Electromagnetic Waves
Q7012Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to put a fifth charge Q at the origin of…Electrostatics
Q7040The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of cornea (7.8 mm). This surface separateds…Optics
Q7186Two stars of masses 3 × 10³¹ kg each, and at distance 2 × 10¹¹ m rotate in a plane about their common centre of mass O. A meteorite passes through O moving…Gravitation
Q7362Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20^(o)C to 90^(o)C. Work done by gas is close to – (Gas constant R = 8.31…Thermodynamics
Q7371Two kg of a monoatomic gas is at a pressure of 4 × 10⁴ N/m². The density of the gas is 8 kg/m³. What is the order of energy of the gas due to its thermal…Thermodynamics
Q7447An unknown metal of mass 192 g heated to a temperature of 100^(o)C was immersed into a brass calorimeter of mass 128 g containing 240 g of water at a…Properties of Solids and Liquids
Q7579Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle θ with each other. If the force Q is doubled, then their resultant also gets…Laws of Motion
Q7620At some location on earth, the horizontal component of earth’s magnetic field is 18 × 10^–6 T. At this location, magnetic needle of length 0.12 m and pole…Magnetic Effects of Current and Magnetism
Q7722A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective axes…Magnetic Effects of Current and Magnetism
Q8118A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be…Oscillations and Waves
Q8152A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI…Oscillations and Waves
Q8191A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and…Oscillations and Waves
Q8300The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume…Units and Measurements
Q8376Two vectors A and B have equal magnitudes. The magnitude of (A + B) is 'n' times the magnitude of (A - B). The angle between A and B is -Kinematics
Q8582A particle which is experiencing a force, given by F = 3 i - 12 j, undergoes a displacement of d = 4 i particle had a kinetic energy of 3 J at the beginning…Work, Energy and Power

Chemistry

Q201Which of the following tests cannot be used for identifying amino acids?Biomolecules
Q4125.1 g NH₄SH is introduced in 3.0 L evacuated flask at 327ºC. 30% of the solid NH₄SH decomposed to NH₃ and H₂S as gases. The Kp of the reaction at 327^(o)C is…Equilibrium
Q677A reaction of cobalt (III) chloride and ethylenediamine in a 1: 2 mole ratio generates two isomeric products A (violet coloured) and B (green coloured). A can…Coordination Compounds
Q722The difference in the number of unpaired electrons of a metal ion in its high spin and low-spin octahedral complexes is two. The metal ion is:Coordination Compounds
Q809The 71^(s)t electron of an element X with an atomic number of 71 enters into the orbital:d- and f-Block Elements
Q992In the cell Pt | (s) | H₂(g, 1 bar) | HCl(aq) | AgCl | (s) | Ag(s)|Pt(s) the cell potential is 0.92 V when a 10^–6 molal HCl solution is used. The standard…Redox Reactions and Electrochemistry
Q1056The reaction that is NOT involved in the ozone layer depletion mechanism in the stratosphere is:Environmental Chemistry
Q1433The electrolytes usually used in the electroplating of gold and silver, respectively are:Isolation of Elements
Q1746The correct match between item 'I' and item 'II' is: Item 'I' (compound) Item 'II' (reagent) (A) Lysine (P) 1-naphthol (B) Furfural (Q) ninhydrin (C)…Principles Related to Practical Chemistry
Q1796In the reaction of oxalate with permanganate in acidic medium, the number of electrons involved in producing one molecule of CO₂ is:Redox Reactions and Electrochemistry
Q1848Sodium metal on dissolution in liquid ammonia gives a deep blue solution due to the formation of:S Block Elements
Q1909A compound of formula A₂B₃ has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids is occupied by the other atoms:Solid State
Q1978Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal solution of glucose in the same…Solutions
Q2037The amount of sugar (C₁₂H₂₂O₁₁) required to prepare 2L of its 0.1 M aqueous solution is:Some Basic Concepts in Chemistry
Q2160The ground state energy of hydrogen atom is – 13.6 eV. The energy of second excited state of He⁺ ion in eV is:Atomic Structure
Q2244Haemoglobin and gold sol are examples of:Surface Chemistry
Q2321An ideal gas undergoes isothermal compression from 5m³ to 1 m³ against a constant external pressure of 4 Nm^–2. Heat released in this process is used to…Chemical Thermodynamics
Q2365The process with negative entropy change is:Chemical Thermodynamics

Mathematics

Q2416On which of the following lines lies the point of intersection of the line, (x - 4)/2 = (y - 5)/2 = (z - 3)/1 and the plane, x + y + z = 2 ?Three Dimensional Geometry
Q2570The plane which bisects the line segment joining the points (–3, –3, 4) and (3, 7, 6) at right angles, passes through which one of the following points ?Three Dimensional Geometry
Q2639A helicopter is flying along the curve given by y – x³/2 = 7, (x ≥ 0). A soldier positioned at the point (1/2,7) wants to shoot down the helicopter when it is…Limit, Continuity and Differentiability
Q2772The tangent to the curve, y = xex² passing through the point (1, e) also passes through the pointLimit, Continuity and Differentiability
Q2920The positive value of λ for which the co-efficient of x² in the expression x² (x + (λ)/(x²))¹⁰ is 720, is -Binomial Theorem and Its Simple Applications
Q3047If the area of an equilateral triangle inscribed in the circle x² + y² + 10x + 12y + c = 0 is 27 3 sq units then c is equal to:Coordinate Geometry
Q3238Let z = ((3)/2 + i/2)⁵ + ((3)/2 - i/2)⁵. If R(z) and 1(z) respectively denote the real and imaginary parts of z, then:Complex Numbers and Quadratic Equations
Q3303If ∫₀ˣ f(t) dt = x² + ∫ x ¹ t²f(t) dt then f ' (1/2) is -Integral Calculus
Q3373The value of ∫ - π /2 ^(π /2) dx/([ x ] + [ sin x ] + 4), where [t] denotes the greatest integer less than or equal to t, isIntegral Calculus
Q3515Let f be a differentiable function such that f '(x) = 7 - 3/4(f(x))/x, (x > 0) and f(1) ≠ 4. Then lim x → 0' xf (1/x):Differential Equations
Q3590The curve amongst the family of curves represented by the differential equation, (x² – y²)dx + 2xy dy = 0 which passes through (1, 1) is:Differential Equations
Q3750Let S = (x,y) R²:(y²)/(1 + r) - (x²)/(1 - r) r ≠ ± 1. Then S represents:Coordinate Geometry
Q3816Let N be the set of natural numbers and two functions f and g be defined as f, g: N → N such that f(n) = \ (n + 1)/2; if n is odd n/2; if n is even.; and g(n)…Sets, Relations and Functions
Q4018If ∫ x⁵.e - 4x³ dx = 1/48 e - 4x³ f(x) + C, where C is a constant of inegration, then f(x) is equal to -Integral Calculus
Q4120The value of cot (Σ n = 1 ¹⁹ cot ⁻¹ (1 + Σ p = 1 ⁿ 2p)) is:Trigonometry
Q4190Let f: (- 1, 1) → R be a function defined by f(x) = max - | x |, - √(1 - x²) \. If K be the set of all points at which f is not differentiable, then K has…Limit, Continuity and Differentiability
Q4408Consider the following three statements: P: 5 is a prime number Q: 7 is a factor of 192 R: L.C.M. of 5 and 7 is 35 Then the truth value of which one of the…Mathematical Reasoning
Q4455Let A = [ 2 b 1 b b² + 1 b 1 b 2 ] where b > 0. Then the minimum value of (det (A))/b is -Matrices and Determinants
Q4570The number of values of θ (0, π) for which the system of linear equations x + 3y + 7z = 0 - x + 4y + 7z = 0 (sin3 θ)x + (cos2 θ)y + 2z = 0. has a non-trival…Matrices and Determinants
Q4669The length of the chord of the parabola x² = 4y having equation x – 2 y + 4 2 = 0 is -Coordinate Geometry
Q4823If Σ r = 0 ²⁵ ⁵⁰C r.^(50 - r)C 25 - r = K(⁵⁰C₂₅), then K is equal to:Permutations and Combinations
Q4876If the probability of hitting a target by a shooter, in any shot, is 1/3, then the minimum number of independent shots at the target required by him so that…Statistics and Probability
Q5132The value of λ such that sum of the squares of the roots of the quadratic equation, x² + (3 – λ)x + 2 = λ has the least value is -Complex Numbers and Quadratic Equations
Q5254Let a₁, a₂, a₃,..... a₁₀ be in G.P. with a i > 0 for i = 1, 2, ….., 10 and S be the set of pairs (r, k), r, k N (the set of natural numbers) for which | log e…Sequence and Series
Q5447If mean and standard deviation of 5 observations x₁, x₂, x₃, x₄, x₅ are 10 and 3, respectively, then the variance of 6 observations x₁, x₂, ….., x₅ and –50 is…Statistics and Probability
Q5533Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in which quadrant:Coordinate Geometry
Q5609Two sides of a parallelogram are along the lines, x + y = 3 x – y + 3 = 0. If its diagonals intersect at (2, 4), then one of its vertex is:Coordinate Geometry
Q5676The value of cos (π)/(2²). cos (π)/(2³)..... cos (π)/(2¹⁰). sin (π)/(2¹⁰) is -Trigonometry
Q5689If α = (λ - 2) a + b and β = (4λ - 2) a + 3 b be two given vectors a and b are non-collinear. The value of λ for which vectors α and β are collinear, is -Vector Algebra