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JEE Main 2016 10 Apr Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 201610 Apr, Morning shift

Physics 17Chemistry 21Mathematics 30

Physics

Q6206A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for…Rotational Motion
Q6337A modulated signal C m (t) has the form C m (t) = 30 sin 300 π t + 10 (cos 200 π t −cos 400 π t). The carrier frequency c, the modulating frequency (message…Communication Systems
Q6420The resistance of an electrical toaster has a temperature dependence given by R(T) = R₀ [1 + α (T − T₀)] in its range of operation. At T₀ = 300 K, R = 100 Ω…Current Electricity
Q6624A photoelectric surface is illuminated successively by monochromatic light of wavelengths λ and (λ)/2. If the maximum kinetic energy of the emitted…Dual Nature of Matter and Radiation
Q6697A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B = B₀e ^((- t)/r), where B₀ and τ are…Electromagnetic Induction and Alternating Currents
Q6739Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:Electromagnetic Waves
Q6896The ratio (R) of output resistance r₀, and the input resistance ri in measurements of input and output characteristics of a transistor is typically in the…Electronic Devices
Q7004Within a spherical charge distribution of charge density ρ (r), N equipotential surfaces of potential V₀, V₀ + Δ V, V₀ + 2 Δ V,.......... V₀ + N Δ V (Δ V >…Electrostatics
Q7098To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are:Optics
Q7578A particle of mass m is acted upon by a force F given by the empirical law F = R/(t²) v(t). If this law is to be tested experimentally by observing the motion…Laws of Motion
Q7619A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over…Magnetic Effects of Current and Magnetism
Q7927A thin 1 m long rod has a radius of 5 mm. A force of 50 π kN is applied at one end to determine its Young’s modulus. Assume that the force is exactly known…Properties of Solids and Liquids
Q8067Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the…Rotational Motion
Q8143In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed…Oscillations and Waves
Q8392Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the…Optics
Q8519A toy-car, blowing its horn, is moving with a steady speed of 5 m/s, away from a wall. An observer, towards whom the toy car is moving, is able to hear 5…Oscillations and Waves
Q8603A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n² R t² where n is a…Work, Energy and Power

Chemistry

Q62The correct statement about the synthesis of erythritol (C(CH₂OH)4) used in the preparation of PETN is:Organic Compounds Containing Oxygen
Q195Observation of “Rhumann’s purple” is a confirmatory test for the presence of:Biomolecules
Q251The bond angle H - X - H is the greatest in the compound:Chemical Bonding and Molecular Structure
Q407A solid XY kept in an evacuated sealed container undergoes decomposition to form a mixture of gases X and Y at temperature T. The equilibrium pressure is 10…Equilibrium
Q497The rate law for the reaction below is given by the expression k [A] [B] A + B → Product If the concentration of B is increased from 0.1 to 0.3 mole, keeping…Chemical Kinetics
Q587Which of the following is an example of homoleptic complex?Coordination Compounds
Q857The transition metal ions responsible for color in ruby and emerald are, respectively:d- and f-Block Elements
Q915Identify the correct statement:Redox Reactions and Electrochemistry
Q935Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing 0.2 Faraday electricity through an aqueous solution of potassium succinate…Redox Reactions and Electrochemistry
Q1054Which one of the following substances used in dry cleaning is a better strategy to control environmental pollution?Environmental Chemistry
Q1121Initially, the root mean square (rms) velocity of N₂ molecules at certain temperature is u. If this temperature is doubled and all the nitrogen molecules…Gaseous State
Q1241Identify the reaction which does not liberate hydrogen:Hydrogen
Q1377Extraction of copper by smelting uses silica as an additive to remove:Isolation of Elements
Q1528Aqueous solution of which salt will not contain ions with the electronic configuration 1s²2s²2p⁶3s²3p⁶ ?p-Block Elements
Q1646The following statements concern elements in the periodic table. Which of the following is true ?Classification of Elements and Periodicity in Properties
Q1676Which of the following polymers is synthesized using a free radical polymerization technique ?Polymers
Q1745Sodium extract is heated with concentrated HNO₃ before testing for halogens because:Principles Related to Practical Chemistry
Q1790The volume of 0.1N dibasic acid sufficient to neutralize 1 g of a base that furnishes 0.04 mole of OH^− in aqueous solution is:Redox Reactions and Electrochemistry
Q1959An aqueous solution of a salt MX₂ at certain temperature has a van’t Hoff factor of 2. The degree of dissociation for this solution of the salt is:Solutions
Q2233Gold numbers of some colloids are: Gelatin: 0.005 - 0.01, Gum Arabic: 0.15 - 0.25; Oleate: 0.04 - 1.0; Starch: 15 - 25. Which among these is a better…Surface Chemistry
Q2314If 100 mole of H₂O₂ decompose at 1 bar and 300 K, the work done (kJ) by one mole of O₂(g) as it expands against 1 bar pressure is: 2H₂O₂(l) 2H₂O(l) + O₂(g) (R…Chemical Thermodynamics

Mathematics

Q2375ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C(λ, 5, μ). If the median through A is equally inclined to the coordinate axes, then…Three Dimensional Geometry
Q2398The number of distinct real values of λ for which the lines (x - 1)/1 = (y - 2)/2 = (z + 3)/(λ ²) and (x - 3)/1 = (y - 2)/(λ ²) = (z - 1)/2 are coplanar is:Three Dimensional Geometry
Q2706Let f(x) = sin⁴x + cos⁴ x. Then f is an increasing function in the interval:Limit, Continuity and Differentiability
Q2760Let C be a curve given by y(x) = 1 + √(4x - 3),x > 3/4. If P is a point on C, such that the tangent at P has slope 2/3, then a point through which the normal…Limit, Continuity and Differentiability
Q2911If the coefficients of x^−2 and x^−4 in the expansion of (x^(1/3) + 1/(2x^(1/3)))¹⁸,(x > 0), are m and n respectively, then m/n is equal to:Binomial Theorem and Its Simple Applications
Q3119Equation of the tangent to the circle, at the point (1, −1), whose centre is the point of intersection of the straight lines x − y = 1 and 2x + y = 3 is:Coordinate Geometry
Q3301For x R, x ≠ 0, if y(x) is a differentiable function such that x ∫₁ˣ y (t) dt = (x + 1) ∫₁ˣ ty (t) dt, then y (x) equals: (where C is a constant.)Integral Calculus
Q3352The value of the integral ∫₄¹⁰ ([ x² ]dx)/([ x² - 28x + 196 ] + [ x² ]), where [x] denotes the greatest integer less than or equal to x, is:Integral Calculus
Q3509The solution of the differential equation dy/dx + y/2 sec x = (tan x)/2y, where 0 ≤ x < (π)/2, and y (0) = 1, is given by:Differential Equations
Q3905The angle of elevation of the top of a vertical tower from a point A, due east of it is 45^(o). The angle of elevation of the top of the same tower from a…Height and Distance
Q3961A hyperbola whose transverse axis is along the major axis of the conic, (x²)/3 + (y²)/4 = 4 and has vertices at the foci of this conic. If the eccentricity of…Coordinate Geometry
Q4004The integral ∫ dx/((1 + x)√(x - x²)) is equal to: (where C is a constant of integration.)Integral Calculus
Q4129Let a, b R, (a ≠ 0). If the function f defined as f(x) = \ (2x²)/a, 0 ≤ x < 1 a, 1 ≤ x < 2 (2b² - 4b)/(x³), 2 ≤ x < ∞. is continuous in the interval [0, ∞)…Limit, Continuity and Differentiability
Q4270lim x → 0 ((1 - cos 2x)²)/(2x tan x - x tan 2x) is:Limit, Continuity and Differentiability
Q4404The contrapositive of the following statement, “If the side of a square doubles, then its area increases four times”, is:Mathematical Reasoning
Q4441If A = [ - 4 - 1 3 1 ], then the determinant of the matrix (A²⁰¹⁶ − 2A²⁰¹⁵ − A²⁰¹⁴) is:Matrices and Determinants
Q4478Let A be a 3 × 3 matrix such that A² - 5A + 7I = 0 Statement - I: A⁻¹ = 1/7 (5I - A). Statement - II: The polynomial A³ - 2A² - 3A + I can be reduced to 5(A…Matrices and Determinants
Q4704P and Q are two distinct points on the parabola, y² = 4x, with parameters t and t₁ respectively. If the normal at P passes through Q, then the minimum value…Coordinate Geometry
Q4806The sum Σ r = 1 ¹⁰ (r² + 1) × (r!) is equal to:Permutations and Combinations
Q4821If ⁿ⁺²C ₆ ⁿ⁻²P₂ = 11, then n satisfies the equation:Permutations and Combinations
Q4874An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this experiment is:Statistics and Probability
Q5124If x is a solution of the equation, √(2x + 1) - √(2x - 1) = 1, (x ≥ 1/2), then √(4x² - 1) is equal to:Complex Numbers and Quadratic Equations
Q5175If A > 0, B > 0 and A + B = (π)/6, then the minimum value of tanA + tanB is:Sequence and Series
Q5194Let a₁, a₂, a₃,......., a n,..... be in A.P. If a₃ + a₇ + a₁₁ + a₁₅ = 72, then the sum of its first 17 terms is equal to:Sequence and Series
Q5294Let z = 1 + ai be a complex number, a > 0, such that z³ is a real number. Then the sum 1 + z + z² +.....+ z¹¹ is equal to:Sequence and Series
Q5353Let P = θ: sin θ - cos θ = 2 cos θ and Q = θ: sin θ + cos θ = 2 sin θ be two sets. ThenSets, Relations and Functions
Q5433The mean of 5 observations is 5 and their variance is 124. If three of the observations are 1, 2 and 6; then the mean deviation from the mean of the data is:Statistics and Probability
Q5500A ray of light is incident along a line which meets another line, 7x − y + 1 = 0, at the point (0, 1). The ray is then reflected from this point along the…Coordinate Geometry
Q5589A straight line through origin O meets the lines 3y = 10 − 4x and 8x + 6y + 5 = 0 at points A and B respectively. Then O divides the segment AB in the ratio:Coordinate Geometry
Q5687Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are a, b, c and (a + b + c)/4 respectively, then the position…Vector Algebra