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JEE Main 2018 15 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 201815 Apr, Evening shift

Physics 21Chemistry 17Mathematics 29

Physics

Q5981Muon (μ ^ -) is a negatively charged (|q| = |e|) particle with a mass m_ μ = 200 m e, where m e is the mass of the electron and e is the electronic charge. If…Atoms and Nuclei
Q6087An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8: 27. The ratio of the radii of the nuclei (assumed…Atoms and Nuclei
Q6183A parallel plate capacitor with area 200 cm² and separation between the plates 1.5 cm, is connected across a battery of emf V. If the force of attraction…Electrostatics
Q6208A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown particle are seen moving at…Rotational Motion
Q6264A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 3.5 revolutions per second. A coin placed at a distnce of 1.25 cm from the…Kinematics
Q6343The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance 49 μ H and a capacitance of 2.5 nF. It is modulated by an audio…Communication Systems
Q6396A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge density of the rod is ρ, how long will…Current Electricity
Q6421A constant voltages is applied between two ends of a metallic wire. If the length is halved and the radius of the wire is doubled, the rate of heat developed…Current Electricity
Q6536If the de Broglie wavelengths associated with a proton and an α -particle are equal, then the ratio of velocities of the proton and the α -particle will be:Dual Nature of Matter and Radiation
Q6698At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in the same…Electromagnetic Induction and Alternating Currents
Q6742A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t₁ it is found that the electric field is zero at a spatial…Electromagnetic Waves
Q6958A solid ball of radius R has a charge density ρ given by ρ = ρ o (1 - 0.5ex r -0.1em/ -0.15em 0.25ex R) for 0 ≤ r ≤ R. The electric field outside the ball is:Electrostatics
Q7034A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 10 cm. The separation between the two lenses is 2…Optics
Q7361The value closest to the thermal velocity of a Helium atom at room temperature (300 K) in ms⁻¹ is: [k B =1.4 × 10⁻²³ J/K; m H e = 7 × 10 ⁻²⁷ kg ]Thermodynamics
Q7553A body of mass 2 kg slides down with an acceleration of 3 m/s² on a rough inclined plane having a slope of 30^(o). The external force required to take the…Laws of Motion
Q7675A current of 1 A is flowing on the sides of an equilateral triangle of side 4.5 × 10⁻² m. The magnetic field at the center of the triangle will be:Magnetic Effects of Current and Magnetism
Q7971A body takes 10 minutes to cool from 60^(o)C to 50^(o)C. The tempertature of surroundings is constant at 25^(o)C. Then, the temperature of the body after next…Properties of Solids and Liquids
Q7979When an air bubble of radius r rises from the bottom to the surface of a lake its radius becomes 5r/4. Taking the atmospheric pressure to be equal to 10 m…Properties of Solids and Liquids
Q8148Two simple harmonic motions, as shown below, are at right angles. They are combined to form Lissajous figures. x(t) = A sin (at + δ) y(t) = B sin (bt)…Oscillations and Waves
Q8223The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the…Units and Measurements
Q84875 beats / econd are heard when a tuning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m…Oscillations and Waves

Chemistry

Q116Two compounds I and II are eluted by column chromatography (adsorption of I > II). Which one of following is a correct statement ?Some Basic Principles of Organic Chemistry
Q408At a certain temperature in a 5 L vessel, 2 moles of carbon monoxide and 3 moles of chlorine were allowed to reach equilibrium according to the reaction, CO +…Equilibrium
Q471For a first order reaction, A → P, t₁/2 (half-life) is 10 days The time required for 1/4 ^(t)h conversion of A (in days) is: (ln 2 = 0.693, ln 3 = 1.1)Chemical Kinetics
Q673The total number of possible isomers for square-planar [Pt(Cl)(NO₂)(NO₃)(SCN)]²⁻ is:Coordination Compounds
Q717The correct order of spin-only magnetic moments among the following is: (Atomic number: Mn = 25, Co = 27, Ni = 28, Zn = 30)Coordination Compounds
Q1081Biochemical Oxygen Demand (BOD) value can be a measure of water pollution caused by the organic matter. Which of the following statements is correct ?Environmental Chemistry
Q1169When 2-butyne is treate with H₂/Lindlar's catalyst, compound X is produced as the major product and when treated with Na/liq. NH₃ it produces Y as the major…Hydrocarbons
Q1301Following four solutions are prepared by mixing different volumes of NaOH and HCl of different concentrations, pH of which one of them will be equal to 1 ?Equilibrium
Q1506In KO₂, the nature of oxygen species and the oxydation state of oxygen atom are, respectively:p-Block Elements
Q1570The correct order of electron affinity is:Classification of Elements and Periodicity in Properties
Q1678Which of the following statements is not true ?Polymers
Q1919All of the following share the same crystal structure except:Solid State
Q2009Two 5 molal solutions are prepared by dissolving a non-electrolyte non-volatile solute separately in the solvents X and Y. The molecular weights of the…Solutions
Q2089For per gram of reactant, the maximum quantity of N₂ gas is produced in which of the following thermal decomposition reactions ? (Given: Atomic wt. - Cr = 52…Some Basic Concepts in Chemistry
Q2114The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is:Atomic Structure
Q2297Given (i) 2Fe₂O₃(s) → 4Fe(s) + 3O₂(g); Δ r G^(o) = + 1487.0 kJ mol⁻¹ (ii) 2CO(g) + O₂(g) → 2CO₂(g); Δ r G^(o) = - 514.4 kJ mol⁻¹ Free energy change, Δ r G^(o)…Chemical Thermodynamics
Q2298Δ f G^(o) at 500 K for substance 'S' in liquid state and gaseous state are +100.7 kcl mol-¹ and +103 kcal mol⁻¹, respectively. Vapour pressure of liquid 'S'…Chemical Thermodynamics

Mathematics

Q2376An angle between the lines whose direction cosines are gien by the equations, l + 3m + 5n = 0 and 5 l m - 2mn + 6n l = 0, is:Three Dimensional Geometry
Q2557A plane bisects the line segment joining the points (1, 2, 3) and (- 3, 4, 5) at rigt angles. Then this plane also passes through the point:Three Dimensional Geometry
Q2977The coefficien of x¹⁰ in the expansion of (1 + x)²(1 + x²)³(1 + x³)⁴ is equal to:Binomial Theorem and Its Simple Applications
Q3122The tangent to the circle C₁: x² + y² - 2x - 1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C₂ whose center is (3, - 2). The radius of…Coordinate Geometry
Q3252If |z - 3 + 2i| ≤ 4 then the difference between the greatest value and the least value of |z| is:Complex Numbers and Quadratic Equations
Q3359The value of integral ∫ (π)/4 ^((3π)/4) x/(1 + sin x)dx is:Integral Calculus
Q3361If I₁ = ∫₀¹ e⁻ˣ cos ²x 1mu dx; I₂ = ∫₀¹ e^(- x²) cos ²x 1mu dx and I₃ = ∫₀¹ e^(- x³) dx; thenIntegral Calculus
Q3587The curve satifying the differeial equation, (x² - y²) dx + 2xydy = 0 and passing through the point (1, 1) is:Differential Equations
Q3677If f(x) = sin⁻¹ ((2 × 3ˣ)/(1 + 9ˣ)), then f' (- 1/2) equals:Limit, Continuity and Differentiability
Q3880Let f: A → B be a function defined as f(x) = (x - 1)/(x - 2), Where A = R - 2 and B = R - 1. Then f is:Sets, Relations and Functions
Q3910A tower T₁ of height 60 m is located exactly opposite to a tower T₂ of height 80 m on a straight road. Fromthe top of T₁, if the angle of depression of the…Height and Distance
Q3949A normal to the hyperbola, 4x² - 9y² = 36 meets the co-ordinate axes x and y at A and B, respectively. If the parallelogram OABP (O being the origin) is…Coordinate Geometry
Q4047If ∫ (2x + 5)/(√(7 - 6x - x²)) dx = A√(7 - 6x - x²) + B sin ⁻¹ ((x + 3)/4) + C (where C is a constant of integration), then the ordered pair (A, B) is equal to:Integral Calculus
Q4131Let f(x) = \ (x - 1)^(1/(2 - x)), x > 1,x ≠ 2 k,x = 2. Thevaue of k for which f s continuous at x = 2 is:Limit, Continuity and Differentiability
Q4225Let f(x) be a polynomial of degree 4 having extreme values at x = 1 and x = 2. If lim x → 0 ((f(x))/(x²) + 1) = 3 then f(- 1) is equal to:Limit, Continuity and Differentiability
Q4272lim x → 0 (x tan 2x - 2x tan x)/((1 - cos 2x)²) equals:Limit, Continuity and Differentiability
Q4406Consider the following two statements: Statement p: The value of sin 120^(o) can be derived by taking θ = 240^(o) in the equation 2sin (θ)/2 = √(1 + sin θ)…Mathematical Reasoning
Q4479Suppose A is any 3 × 3 non-singular matrix and (A - 3I) (A - 5I) = O where I = I₃ and O = O₃. If α A + β A⁻¹ = 4I, then α + β is equal to:Matrices and Determinants
Q4561If the system of linear equations x + ay + z = 3 x + 2y + 2z = 6 x + 5y + 3z = b has no solution, then:Matrices and Determinants
Q4667Tangents drawn from the point (- 8, 0) to the parabola y² = 8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle…Coordinate Geometry
Q4845The number of four letter words that can be formed using the letters of the word BARRACK is:Permutations and Combinations
Q4945A player X has a biased coin whose probability of showing heads is p and a player Y has a fair coin. They start playing a game with their own coins and play…Statistics and Probability
Q5130If f(x) is a quadratic expression such that f (1) + f (2) = 0, and - 1 is a root of f (x) = 0, then the other root of f(x) = 0 is:Complex Numbers and Quadratic Equations
Q5248If a, b, c are in A.P. and a², b², c² are in G.P. such that a < b < c and a + b + c = 3/4, then the value of a is:Sequence and Series
Q5300Let A n = (3/4) - (3/4)² + (3/4)³ -..... + (- 1)ⁿ-1 (3/4)ⁿ and B n = 1 - A n. Then, the least dd natural numbr p, so that B n > A n, for all n ≥ p, is:Sequence and Series
Q5437If the mean of the data: 7, 8, 9, 7, 8, 7, λ, 8 is 8, then the variance of this data is:Statistics and Probability
Q5551The foot of the perpendicular drawn from the origin, on the line, 3x + y = λ (λ ≠ 0) is P. If the line meets x-axis at A and y-axis at B, then the ratio BP…Coordinate Geometry
Q5602The sides of a rhombus ABCD are parallel to the lines, x - y + 2 = 0 and 7x - y + 3 = 0. If the diagonals of the rhombus intersect P(1, 2) and the vertex A…Coordinate Geometry
Q5688If the position vectors of the vertices A, B and C of a Δ ABC are respectively 4 i + 7 j + 8 k, 2 i + 3 j + 4 k, and 2 i + 5 j + 7 k, then the position…Vector Algebra