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JEE Main 2017 9 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20179 Apr, Morning shift

Physics 19Chemistry 17Mathematics 30

Physics

Q5874A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5 Ω, L=25 mH and C=1000 μ F. The total…Electromagnetic Induction and Alternating Currents
Q5979The acceleration of an electron in the first orbit of the hydrogen atom (n = 1) is:Atoms and Nuclei
Q6044Imagine that a reactor converts all given mass into energy and that it operates at a power level of 10⁹ watt. The mass of the fuel consumed per hour in the…Atoms and Nuclei
Q6303A signal is to be transmitted through a wave of wavelength λ, using a linear antenna. The length l of the antenna and effective power radiated P e ff will be…Communication Systems
Q6510A uniform wire of length 1 and radius r has a resistance of 100 Ω. It is recast into a wire of radius r/2. The resistance of new wire will be:Current Electricity
Q6596A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW is used the approximate number of…Dual Nature of Matter and Radiation
Q6740The electric field component of a monochromatic radiation is given by E = 2 E₀ i cos kz cos ω t Its magnetic field B is then given by:Electromagnetic Waves
Q6898The current gain of a common emitter amplifier is 69. If the emitter current is 7.0 mA, collector current is:Electronic Devices
Q7032In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is…Optics
Q7360N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the…Thermodynamics
Q7513A steel rail of length 5 m and area of cross section 40cm² is prevented from expanding along its length while the temperature rises by 10^(o)C. If coefficient…Properties of Solids and Liquids
Q7700A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is parallel to the direction of the…Magnetic Effects of Current and Magnetism
Q7872A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has…Kinematics
Q7895Two tubes of radii r₁ and r₂, and lengths l₁ and l₂, respectively, are connected in series and a liquid flows through each of them in stream line conditions…Properties of Solids and Liquids
Q8117A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 Nm^−1 and oscillates in a damping medium of damping constant 10^−2 kg s^−1…Oscillations and Waves
Q8292A physical quantity P is described by the relation P = a ^ 0.5ex 1 -0.1em/ -0.15em 0.25ex 2 b² c³ d⁻⁴ If the relative errors in the measurement of a, b, c and…Units and Measurements
Q8394A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 A° and diffraction bands are observed on a screen 0.5 m from the…Optics
Q8484In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs of radii r₁ and r₂. The two spherical…Oscillations and Waves
Q8485A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by y(x, t) = 0.5 sin…Oscillations and Waves

Chemistry

Q151The incorrect statement among the following is:Biomolecules
Q287The group having triangular planar structures is:Chemical Bonding and Molecular Structure
Q433The following reaction occurs in the Blast Furnace where iron ore is reduced to iron metal: Fe₂O₃(s) + 3 CO(g) 2 Fe(1) + 3 CO₂(g) Using the Le Chatelier’s…Equilibrium
Q445The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is: (Assume activation energy and…Chemical Kinetics
Q588[Co₂(CO)₈] displays:Coordination Compounds
Q861Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?d- and f-Block Elements
Q984To find the standard potential of M³⁺/M electrode,the following cell is constituted: Pt/M/M³⁺(0.001 mol L^−1)/Ag⁺(0.01 mol L^−1)/Ag The emf of the cell is…Redox Reactions and Electrochemistry
Q1055Which of the following is a set of greenhouse gases?Environmental Chemistry
Q1111At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of dinitrogen (N₂) at 4 bar. The molar mass of gaseous molecule is:Gaseous State
Q129950 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pK b of ammonia solution is 4.75, the pH of the mixture will be:Equilibrium
Q1598The electronic configuration with the highest ionization enthalpy is:Classification of Elements and Periodicity in Properties
Q1632Which one of the following is an oxide?Classification of Elements and Periodicity in Properties
Q2008A solution is prepared by mixing 8.5 g of CH₂Cl₂ and 11.95 g of CHCl₃. If vapour pressure of CH₂Cl₂ and CHCl₃ at 298 K are 415 and 200 mmHg respectively, the…Solutions
Q2058What quantity (in mL) of a 45% acid solution of a mono-protic strong acid must be mixed with a 20% solution of the same acid to produce 800 mL of a 29.875%…Some Basic Concepts in Chemistry
Q2158The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with:Atomic Structure
Q2316A gas undergoes change from state A to state B. In this process, the heat absorbed and work done by the gas is 5 J and 8 J, respectively. Now gas is brought…Chemical Thermodynamics
Q2325An ideal gas undergoes isothermal expansion at constant pressure. During the process:Chemical Thermodynamics

Mathematics

Q2403If the line, (x - 3)/1 = (y + 2)/(- 1) = (z + λ)/(- 2) lies in the plane, 2x−4y+3z=2, then the shortest distance between this line and the line, (x - 1)/12 =…Three Dimensional Geometry
Q2554If x = a, y = b, z = c is a solution of the system of linear equations x + 8y + 7z = 0 9x + 2y + 3z = 0 x + y + z = 0 such that the point (a, b, c) lies on…Three Dimensional Geometry
Q2555If a variable plane, at a distance of 3 units from the origin, intersects the coordinate axes at A, B and C, then the locus of the centroid of Δ ABC is:Three Dimensional Geometry
Q2707The function f defined by f(x) = x³ - 3x² + 5x + 7, is:Limit, Continuity and Differentiability
Q2764A tangent to the curve, y = f(x) at P(x, y) meets x-axis at A and y-axis at B. If AP: BP = 1: 3 and f(1) = 1, then the curve also passes through the point:Limit, Continuity and Differentiability
Q2912The coefficient of x^−5 in the binomial expansion of ((x + 1)/(x^(2/3) - x^(1/3) + 1) - (x - 1)/(x - x^(1/2)))¹⁰, where x ≠ 0, 1, is:Binomial Theorem and Its Simple Applications
Q3021The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60^(o). If the area of the quadrilateral is 4 3, then the perimeter…Coordinate Geometry
Q3046A line drawn through the point P(4, 7) cuts the circle x² + y² = 9 at the points A and B. Then PA⋅PB is equal to:Coordinate Geometry
Q3178The equation Im ((iz - 2)/(z - i)) + 1 = 0, z C, z ≠ i represents a part of a circle having radius equal to:Complex Numbers and Quadratic Equations
Q3284If lim n → ∞ (1^(a) + 2^(a) +...... + n^(a))/((n + 1)^(a - 1)[ (na + 1) + (na + 2) +..... + (na + n) ]) = 1/60 for some positive real number a, then a is…Integral Calculus
Q3355If ∫₁² dx/((x² - 2x + 4)^(3/2)) = k/(k + 5), then k is equal to:Integral Calculus
Q3512If 2x = y ^(1/5) + y ^(- 1/5) and (x² - 1) d²y d x² + λ x dy/dx + ky = 0, then λ + k is equal to:Differential Equations
Q3705Let f be a polynomial function such that f (3x) = f ' (x). f '' (x), for all x R. Then:Limit, Continuity and Differentiability
Q3748The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the points (4, −1) and (−2, 2) is:Coordinate Geometry
Q3796The function f: N → N defined by f (x) = x - 5 [ x/5 ], Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is:Sets, Relations and Functions
Q4045If f ((3x - 4)/(3x + 4)) = x + 2, x ≠ - 4/3, and ∫ f(x) dx = A log |. 1 - x |. + Bx + C, then the ordered pair (A, B) is equal to: (where C is a constant of…Integral Calculus
Q4090A value of x satisfying the equation sin[cot^−1 (1+ x)] = cos [tan^−1 x], is:Trigonometry
Q4130The value of k for which the function f(x) = \ (4/5)^((tan 4x)/(tan 5x)), 0 < x < (π)/2 k + 2/5, x = (π)/2. is continuous at x = (π)/2, is:Limit, Continuity and Differentiability
Q4405Contrapositive of the statement ‘If two numbers are not equal, then their squares are not equal’, is:Mathematical Reasoning
Q4659For two 3 × 3 matrices A and B, let A + B = 2B^(T) and 3A + 2B = I₃, where B^(T) is the transpose of B and I₃ is 3 × 3 identity matrix. Then:Matrices and Determinants
Q4705If y = mx + c is the normal at a point on the parabola y² = 8x whose focal distance is 8 units, then | c | is equal to:Coordinate Geometry
Q4766The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B₁ and a particular girl G₁ never sit adjacent to each…Permutations and Combinations
Q4944Let E and F be two independent events. The probability that both E and F happen is 1/12 and the probability that neither E nor F happens is 1/2, then a value…Statistics and Probability
Q4973From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these…Statistics and Probability
Q5092The sum of all the real values of x satisfying the equation 2(x - 1)(x² + 5x - 50) = 1 is:Complex Numbers and Quadratic Equations
Q5195If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is:Sequence and Series
Q5296Let S n = 1/(1³) + (1 + 2)/(1³ + 2³) + (1 + 2 + 3)/(1³ + 2³ + 3³) +......... + (1 + 2 +....... + n)/(1³ + 2³ +...... + n³). If 100 S n = n, then n is equal to:Sequence and Series
Q5435The sum of 100 observations and the sum of their squares are 400 and 2475, respectively. Later on, three observations, 3, 4 and 5, were found to be incorrect…Statistics and Probability
Q5601A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30^(o) with…Coordinate Geometry
Q5803If the vector b = 3 j + 4 k is written as the sum of a vector b₁, paralel to a = i + j and a vector b₂, perpendicular to a, then b₁ × b₂ is equal to:Vector Algebra