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JEE Main 2016 9 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20169 Apr, Morning shift

Physics 23Chemistry 24Mathematics 29

Physics

Q5978A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon. This photon strikes a doubly ionized lithium atom (z = 3) in excited state and…Atoms and Nuclei
Q6167Three capacitors each of 4 μ F are to be connected in such a way that the effective capacitance is 6 μ F. This can be done by connecting them:Electrostatics
Q6338An audio signal consists of two distinct sounds: one a human speech signal in the frequency band of 200 Hz to 2700 Hz, while the other is a high frequency…Communication Systems
Q6452A 50 Ω resistance is connected to a battery of 5 V. A galvanometer of resistance 100 Ω is to be used as an ammeter to measure current through the resistance…Current Electricity
Q6623When photons of wavelength λ ₁ are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength λ ₂ are…Dual Nature of Matter and Radiation
Q6834Microwave oven acts on the principle of:Electromagnetic Waves
Q6848The truth table given in fig. represents: A B Y 0 0 0 0 1 1 1 0 1 1 1 1Electronic Devices
Q6865An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of R = 100 Ω, and a maximum power of…Electronic Devices
Q6897An unknown transistor needs to be identified as a npn or pnp type. A multimeter, with + ve and − ve terminals, is used to measure resistance between different…Electronic Devices
Q7003The potential (in volts) of a charge distribution is given by. V(z) = 30 - 5x² for | z | ≤ 1 m. V(z) = 35 - 10 | z | for | z | ≥ 1 m. V(z) does not depend on…Electrostatics
Q7031To find the focal length of a convex mirror, a student records the following data: Object Pin Convex Lens Convex Mirror Image Pin 22.2 cm 32.2 cm 45.8 cm 71.2…Optics
Q7444200 g water is heated from 40^(o)C to 60^(o)C. Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of…Thermodynamics
Q7473The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is:Thermodynamics
Q7510A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0^(o)C. If the temperature of the wire is increased…Properties of Solids and Liquids
Q7551A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket…Laws of Motion
Q7698A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75^(o). One of the fields has a magnitude of 15 mT. The…Magnetic Effects of Current and Magnetism
Q7769To know the resistance G of a galvanometer by half deflection method, a battery of emf V E and resistance R is used to deflect the galvanometer by angle θ. If…Magnetic Effects of Current and Magnetism
Q7928A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends…Properties of Solids and Liquids
Q8144Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are…Oscillations and Waves
Q8221In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical…Units and Measurements
Q8416In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standing near…Optics
Q8518Two engines pass each other moving in opposite directions with uniform speed of 30 m/s. One of them is blowing a whistle of frequency 540 Hz. Calculate the…Oscillations and Waves
Q8602A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional force W/20 on the car. While moving…Work, Energy and Power

Chemistry

Q7Bouveault-Blanc reduction reaction involves:Organic Compounds Containing Oxygen
Q285The group of molecules having identical shape is:Chemical Bonding and Molecular Structure
Q496The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below: O₃(g) + Cl ^ (g) → O₂(g) + ClO ^…Chemical Kinetics
Q510The artificial sweetener that has the highest sweetness value in comparison to cane sugar is:Chemistry in Everyday Life
Q525The test to distinguish primary, secondary and tertiary amines is:Organic Compounds Containing Nitrogen
Q607Identify the correct trend given below: (Atomic No.=Ti: 22, Cr: 24 and Mo: 42)Coordination Compounds
Q714Which one of the following complexes will consume more equivalents of aqueous solution of Ag(NO₃)?Coordination Compounds
Q858Which one of the following species is stable in aqueous solution?d- and f-Block Elements
Q980What will occur if a block of copper metal is dropped into a beaker containing a solution of 1M ZnSO₄?Redox Reactions and Electrochemistry
Q1078BOD stands for:Environmental Chemistry
Q1126At very high pressures, the compressibility factor of one mole of a gas is given by:Gaseous State
Q11785 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperature and pressure, the alkane is:Hydrocarbons
Q1267Identify the incorrect statement regarding heavy water:Hydrogen
Q1527The non-metal that does not exhibit positive oxidation state is:p-Block Elements
Q1540Which intermolecular force is most responsible in allowing xenon gas to liquefy?p-Block Elements
Q1675Assertion: Rayon is a semisynthetic polymer whose properties are better than natural cotton. Reason: Mechanical and aesthetic properties of cellulose can be…Polymers
Q1873The correct order of the solubility of alkaline-earth metal sulphates in water is:S Block Elements
Q1989The solubility of N₂ in water at 300 K and 500 torr partial pressure is 0.01 g L^−1. The solubility (in g L^−1) at 750 torr partial pressure is:Solutions
Q2066The amount of arsenic pentasulphide that can be obtained when 35.5 g arsenic acid istreated with excess H₂S in the presence of conc. HCl (assuming 100%…Some Basic Concepts in Chemistry
Q2067An organic compound contains C, H and S. The minimum molecular weight of the compound containing 8% sulphur is: (atomic weight of S = 32 amu)Some Basic Concepts in Chemistry
Q2195The total number of orbitals associated with the principal quantum number 5 is:Atomic Structure
Q2232The most appropriate method of making egg-albumin sol is:Surface Chemistry
Q2293A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous at high temperature. Identify the correct statement about the reaction among…Chemical Thermodynamics
Q2294For the reaction, A(g) + B(g) → C(g) + D(g), Δ H^(o) and Δ S^(o) are, respectively, − 29.8 kJ mol^−1 and −0.100 kJ K^−1 mol^−1 at 298 K. The equilibrium…Chemical Thermodynamics

Mathematics

Q2486The shortest distance between the lines x/2 = y/2 = z/1 and (x + 2)/(- 1) = (y - 4)/8 = (z - 5)/4 lies in the interval:Three Dimensional Geometry
Q2553The distance of the point (1, − 2, 4) from the plane passing through the point (1, 2, 2) and perpendicular to the planes x − y + 2z = 3 and 2x − 2y + z + 12 =…Three Dimensional Geometry
Q2634The minimum distance of a point on the curve y = x²−4 from the origin is:Limit, Continuity and Differentiability
Q2759If the tangent at a point P, with parameter t, on the curve x = 4t² + 3, y = 8t³−1, t R, meets the curve again at a point Q, then the coordinates of Q are:Limit, Continuity and Differentiability
Q2805The area (in sq. units) of the region described by A= (x, y) |. y ≥ x² - 5x + 4, x + y ≥ 1, y ≤ 0 is:Integral Calculus
Q2910For x R, x ≠ -1, if (1 + x)²⁰¹⁶ + x(1 + x)²⁰¹⁵ + x²(1 + x)²⁰¹⁴ +.... + x²⁰¹⁶ = Σ i = 0 ²⁰¹⁶ a i xⁱ, then a₁₇ is equal to:Binomial Theorem and Its Simple Applications
Q3044A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?Coordinate Geometry
Q3147The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there 2 2 units in the…Complex Numbers and Quadratic Equations
Q3353If 2∫₀¹ tan ⁻¹xdx = ∫₀¹ cot ⁻¹ (1 - x + x²)dx, then ∫₀¹ tan ⁻¹ (1 - x + x²)dx is equalto:Integral Calculus
Q3585If f(x) is a differentiable function in the interval (0, ∞) such that f (1) = 1 and lim t → x (t²f(x) - x²f(t))/(t - x) = 1, for each x > 0, then f(0.5ex 3…Differential Equations
Q3773If the tangent at a point on the ellipse (x²)/27 + (y²)/3 = 1 meets the coordinate axes at A and B, and O is the origin, then the minimum area (in sq. units)…Coordinate Geometry
Q3813For x R, x ≠ 0, Let f₀(x) = 1/(1 - x) and f n +1 (x) = f₀(f n (x)), n = 0, 1, 2,.... Then the value of f₁₀₀(3) + f₁ (2/3) + f₂ (3/2) is equal to:Sets, Relations and Functions
Q3960Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e² − 18e + 5 = 0. If S(5, 0)…Coordinate Geometry
Q4005If ∫ dx/(cos ³x√(2 sin 2x)) = (tan x)^(A) + C (tan x)^(B) + k, where k is a constant of integration, then A + B +C equals:Integral Calculus
Q4181If the function f(x) = \ - x x < 1 a + cos ⁻¹(x + b), 1 ≤ x ≤ 2. is differentiable at x = 1, then a/b is equal to:Limit, Continuity and Differentiability
Q4250If lim x → ∞ (1 + a/x - 4/(x²))²ˣ = e³, then 'a' is equal to:Limit, Continuity and Differentiability
Q4403Consider the following two statements: P: If 7 is an odd number, then 7 is divisible by 2. Q: If 7 is a prime number, then 7 is an odd number If V₁ is the…Mathematical Reasoning
Q4442The number of distinct real roots of the equation, | cos x sin x sin x sin x cos x sin x sin x sin x cos x | = 0 in the interval [ - (π)/4,(π)/4 ] is:Matrices and Determinants
Q4658If P = [ (3)/2 1/2 - 1/2 (3)/2 ],A = [ 1 1 0 1 ] Q = PAP^(T), then P^(T) Q²⁰¹⁵ P is:Matrices and Determinants
Q4789If the four letter words (need not be meaningful) are to be formed using the letters from the word “MEDITERRANEAN” such that the first letter is R and the…Permutations and Combinations
Q4820The value of Σ r = 1 ¹⁵ r² ((¹⁵C r)/(¹⁵C r - 1)) is equal to:Permutations and Combinations
Q4943If A and B are any two events such that P(A) = 2/5 and P (A B) = 3/20, hen the conditional probability, P(A |. (A' B')), where A' denotes the complement of A…Statistics and Probability
Q5054If the equations x² + bx−1 = 0 and x² + x + b = 0 have a common root different from −1, then | b | is equal to:Complex Numbers and Quadratic Equations
Q5174Let x, y, z be positive real numbers such that x + y + z = 12 and x³y⁴z⁵ = (0.1) (600)³. Then x³ + y³ + z³is equal to:Sequence and Series
Q5434If the mean deviation of the numbers 1, 1 + d,..., 1 +100d from their mean is 255, then a value of d is:Statistics and Probability
Q5565If a variable line drawn through the intersection of the lines x/3 + y/4 = 1 and x/4 + y/3 = 1, meets the coordinate axes at A and B, (A ≠ B), then the locus…Coordinate Geometry
Q5600The point (2, 1) is translated parallel to the line L: x− y = 4 by 2 3 units. If the newpoint Q lies in the third quadrant, then the equation of the line…Coordinate Geometry
Q5659If m and M are the minimum and the maximum values of 4 + 1/2 sin² 2x - 2cos⁴ x, x R, then M - m is equal to:Trigonometry
Q5765In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3 i + j - k, - i + 3 j + p k and 5 i + q j - 4 k, then…Vector Algebra