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JEE Main 2017 8 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20178 Apr, Morning shift

Physics 22Chemistry 19Mathematics 29

Physics

Q5980According to Bohr’s theory, the time averaged magnetic field at the centre (i.e. nucleus) of a hydrogen atom due to the motion of electrons in the n^(t)h…Atoms and Nuclei
Q6045Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is: (given binding energy per nucleon for deuteron = 1.1 MeV…Atoms and Nuclei
Q6176The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 μ C charge, its radius will be: [ Take: 1/(4 π ₀) = 9 ×…Electrostatics
Q6339A signal of frequency 20 kHz and peak voltage of 5 Volt is used to modulate a carrier wave of frequency 1.2 MHz and peak voltage 25 Volts. Choose the correct…Communication Systems
Q6625The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency n falls on a metal surface. If the incident frequency is…Dual Nature of Matter and Radiation
Q6680A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The two loops are in the same plane. The…Electromagnetic Induction and Alternating Currents
Q6741Magnetic field in a plane electromagnetic wave is given by B = B₀ sin (k x + ω t) j T Expression for corresponding electric field will be: Where c is speed of…Electromagnetic Waves
Q6866What is the conductivity of a semiconductor sale having electron concentration of 5 × 10¹⁸ m⁻³, hole concentration of 5 × 10¹⁹ m⁻³, electron mobility of 2.0…Electronic Devices
Q7005There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at P, in the region, is found to vary between…Electrostatics
Q7099Let the refractive index of a denser medium with respect to a rarer medium be n₁₂ and its critical angle be θ C. At an angle of incidence A when light is…Optics
Q7132If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the earth would have to rotate about its…Gravitation
Q7290An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (C p) and at constant volume (C v) is:Kinetic Theory of Gases
Q7446In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150^(o)C. Immediately, it is put into water of volume 150 cc at 27^(o)C kept in a…Properties of Solids and Liquids
Q7512A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by Δ T. The net…Properties of Solids and Liquids
Q7699A magnetic dipole in a constant magnetic field has:Magnetic Effects of Current and Magnetism
Q7741In a certain region static electric and magnetic fields exist. The magnetic field is given by B = B₀(i + 2 j - 4 k). If a test charge moving with a velocity =…Magnetic Effects of Current and Magnetism
Q8107In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the…Rotational Motion
Q8145A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are…Oscillations and Waves
Q8146The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 s^−1. At, t = 0 the displacement is 5 m. What is the maximum…Oscillations and Waves
Q8222Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In terms of these, the dimensions of…Units and Measurements
Q8393A single slit of width b is illuminated by a coherent monochromatic light of wavelength λ. If the second and fourthminima in the diffraction pattern at a…Optics
Q8578An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as t → ∞ is:Work, Energy and Power

Chemistry

Q115Which of the following statements is not true about partition chromatography?Some Basic Principles of Organic Chemistry
Q197Among the following, the essential amino acid is:Biomolecules
Q286sp³d² hybridization is not displayed by:Chemical Bonding and Molecular Structure
Q357Which of the following is paramagnetic ?Chemical Bonding and Molecular Structure
Q444The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reaction B should be Increased from 300 K so…Chemical Kinetics
Q860The pair of compounds having metals in their highest oxidation state is:d- and f-Block Elements
Q982What is the standard reduction potential (E^(o)) for Fe³⁺ → Fe ? Given that: Fe²⁺ + 2e^ - → Fe; E_ F e²⁺ /Fe ^(o) = - 0.47 V Fe³⁺ + e^ - → Fe²⁺; E_ F e³⁺ /F…Redox Reactions and Electrochemistry
Q983Consider the following standard electrode potentials (E^(o) in volts) in aqueous solution: Element M³⁺ /M M⁺ /M A1 -1.66 + 0.55 T1 +1.26 - 0.34 Based on these…Redox Reactions and Electrochemistry
Q1014Identify the pollutant gases largely responsible for the discoloured and lustreless nature of marble of the Taj Mahal.Environmental Chemistry
Q1211In which of the following reactions, hydrogen peroxide acts as an oxidizing agent ?Hydrogen
Q1298Additin of sodium hydroxide solution to a weak acid (HA)results in a buffer of pH 6. If ionition constant of HA is 10⁻⁵, the ratio of salt to acid…Equilibrium
Q1597Consider the following ionization enthalpies of two elements 'A' and 'B'. Element Ionization enthalpy (kJ/mol) 1^(s)t 2ⁿd 3^(r)d A 899 1757 14847 B 737 1450…Classification of Elements and Periodicity in Properties
Q1766A solution containing a group-IV cation gives a precipitate on passing H₂S. A solution of this precipitate in dil.HCl produces a white precipitate with NaOH…Principles Related to Practical Chemistry
Q19615 g of Na₂SO₄ was dissolved in x g of H₂O. The change in freezing point was found to be 3.82^(o)C. If Na₂SO₄ is 81.5% ionised, the value of x (K f for…Solutions
Q2030Excess of NaOH (aq) was added to 100 mL of FeCl₃ (aq) resulting into 2.14 g of Fe(OH)₃. The molarity of FeCl₃ (aq) is: (Given molar mass of Fe = 56 g mol^−1…Some Basic Concepts in Chemistry
Q2157If the shortest wavelength in Lyman series of hydrogen atom is A, then the longestwavelength in Paschen series of He⁺ is:Atomic Structure
Q2235Among the following, correct statement is:Surface Chemistry
Q2347For a reaction, A(g) → A(); Δ H= - 3RT. The correct statement for the reaction is:Chemical Thermodynamics
Q2348The enthalpy change on freezing of 1 mol of water at 5^(o)C to ice at −5^(o)C is: (Given Δ f usH = 6 kJ mol⁻¹ at 0^(o)C, C p (H₂O, = 75.3J mol⁻¹ K⁻¹) C p (H₂O…Chemical Thermodynamics

Mathematics

Q2401The coordinates of the foot of the perpendicular from the point (1, - 2, 1) on the plane containing the lines, (x + 1)/6 = (y - 1)/7 = (z - 3)/8 and (x - 1)/3…Three Dimensional Geometry
Q2402The line of intersection of the planes r.(3 i - j + k) = 1 and r.(i + 4 j - 2 k) = 2, is:Three Dimensional Geometry
Q2763The tangent at the point (2, - 2) to the curve, x²y² - 2x = 4(1 - y) does not pass through the point:Limit, Continuity and Differentiability
Q2807The area (in sq. units) of the smaller portion enclosed between the curves, x² + y² = 4 and y² = 3x, is:Integral Calculus
Q2891If (27)⁹⁹⁹ is divided by 7, then the remainder is:Binomial Theorem and Its Simple Applications
Q3045If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles cos ⁻¹(1/7) and sec⁻¹ (7) at the center…Coordinate Geometry
Q3108If a point P has co-ordinates (0, - 2) and Q is any point on the circle, x² + y² - 5x - y + 5 = 0, then the maximum value of (PQ)² is:Coordinate Geometry
Q3177Let z C, the set of complex numbers. Then the equation, 2|z + 3i| - |z - i| = 0 represents:Complex Numbers and Quadratic Equations
Q3354The integral ∫ (π)/12 ^((π)/4) (8 cos 2x)/((tan x + cot x)³) dx equals:Integral Calculus
Q3511The curve satisfying the differential equation, ydx - (x + 3y²)dy = 0 and passing through the point (1, 1), also passes through the point:Differential Equations
Q3665If y = [ x + √(x² - 1) ]¹⁵ + [ x - √(x² - 1) ]¹⁵, then (x² - 1) d²y d x² + xdy/dx is equal to:Limit, Continuity and Differentiability
Q3747Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is 3/5 and the distance between its foci is 6…Coordinate Geometry
Q3814Let f(x) = 2¹⁰.x + 1 and g(x)=3¹⁰.x - 1. If (fog) (x) = x, then x is equal to:Sets, Relations and Functions
Q3939The locus of the point of intersection of the straight lines, tx - 2y - 3t = 0 x - 2ty + 3 = 0 (t R), is:Coordinate Geometry
Q4044The integral ∫ √(1 + 2 cot x(cos ecx + cot x)) dx (0 < x < (π)/2) is equal to: (where C is a constant of integration)Integral Calculus
Q4089The value of tan⁻¹ [ (√(1 + x²) + √(1 - x²))/(√(1 + x²) - √(1 - x²)) ], | x | < 1/2,x ≠ 0, is equal to:Trigonometry
Q4223lim x → 3 (√(3x) - 3)/(√(2x - 4) - 2) is equal to:Limit, Continuity and Differentiability
Q4425Let A be any 3 × 3 invertible matrix. Then which one of the following is not always true ?Matrices and Determinants
Q4443If S = \ x [ 0,2π ]:| 0 cos x - sin x sin x 0 cos x cos x sin x 0 | = 0 \, then Σ x S tan ((π)/3 + x) is equal to:Matrices and Determinants
Q4558The number of real values of λ for which the system of linear equations 2x + 4y - λ z = 0 4x + λ y + 2z = 0 λ x + 2y + 2z = 0 has infinitely many solutions, is:Matrices and Determinants
Q4679If the common tangents to the parabola, x² = 4y and the circle, x² + y² = 4 intersect at the point P, then the distance of P from the origin, is:Coordinate Geometry
Q4842If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in English dictionary, then the position of the…Permutations and Combinations
Q4904Three persons P, Q and R independently try to hit a target. I the probabilities of their hitting the target are 3/4,1/2 and 5/8 respectively, then the…Statistics and Probability
Q4905An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is:Statistics and Probability
Q5126Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x - 1 and it leaves remainder 6 when divided by x + 1; then:Complex Numbers and Quadratic Equations
Q5176If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then (a + b)/(a - b) is equal to:Sequence and Series
Q5297If the sum of the first n terms of the series 3 + √(75) + √(243) + √(507) +...... is 435 3, then n equals:Sequence and Series
Q5414The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If now the mean age…Statistics and Probability
Q5802The area (in sq. units) of the parallelogram whose diagonals are along the vectors 8 i - 6 j and 3 i + 4 j - 12 k, is:Vector Algebra