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JEE Main 2019 9 Apr Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 20199 Apr, Evening shift

Physics 26Chemistry 17Mathematics 30

Physics

Q5994A He⁺ ion is in its first excited state. Its ionization energy is:-Atoms and Nuclei
Q6150The parallel combination of two air filled parallel plate capacitors of capacitance C and nC is connected to a battery of voltage, V. When the capacitors are…Electrostatics
Q6211A particle of mass 'm' is moving with speed '2v' and collides with a mass '2m' moving with speed 'v' in the same direction. After collision, the first mass is…Rotational Motion
Q6236A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v. There is no friction between the particle and the…Rotational Motion
Q6310The physical sizes of the transmitter and receiver antenna in a communication system are:-Communication Systems
Q6460The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it in order…Current Electricity
Q6511A metal wire of resistance 3 Ω is elongated to make a uniform wire of double its previous length. This new wire is now bent and the ends joined to make a…Current Electricity
Q6512In a conductor, if the number of conduction electrons per unit volume is 8.5 × 10²⁸ m^–3 and mean free time is 25ƒs (femto second), it's approximate…Current Electricity
Q6544A particle 'P' is formed due to a completely inelastic collision of particles 'x' and 'y' having de-Broglie wavelengths ' λ x ' and ' λ y ' respectively. If x…Dual Nature of Matter and Radiation
Q6682Two coils 'P' and 'Q' are separated by some distance. When a current of 3 A flows through coil 'P', a magnetic flux of 10^–3 Wb passes through 'Q'. No current…Electromagnetic Induction and Alternating Currents
Q674850 W/m² energy density of sunlight is normally incident on the surface of a solar panel. Some part of incident energy (25%) is reflected from the surface and…Electromagnetic Waves
Q6960Four point charges –q, +q, +q and –q are placed on y-axis at y = –2d, y = –d, y = +d and y = +2d, respectively. The magnitude of the electric field E at a…Electrostatics
Q7036A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x₁ and x₂ (x₁ > x₂) from the lens. The…Optics
Q7182A test particle is moving in a circular orbit in the gravitational field produced by a mass density ρ (r) = K/(r²). Identify the correct relation between the…Gravitation
Q7295The specific heats, C P and C V of a gas of diatomic molecules, A, are given (in units of J mol^–1 K^–1) by 29 and 22, respectively. Another gas of diatomic…Thermodynamics
Q7452A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is stretched by 2 cm and released so that it…Thermodynamics
Q7770A moving coil galvanometer has a coil with 175 turns and area 1 cm². It uses a torsion band of torsion constant 10^–6 N-m/rad. The coil is placed in a…Magnetic Effects of Current and Magnetism
Q7825The position vector of a particle changes with time according to the relation r (t) = 15t² i + (4 - 20t²) j What is the magnitude of the acceleration at t = 1 ?Kinematics
Q7884The position of a particle as a function of time t, is given by x(t) = at + bt² – ct³ where a, b and c are constants. When the particle attains zero…Kinematics
Q7984A wooden block floating in a bucket of water has 4/5 of its volume submerged. When certain amount of an oil is poured into the bucket, it is found that the…Properties of Solids and Liquids
Q8049A thin smooth rod of length L and mass M is rotating freely with angular speed ω ₀ about an axis perpendicular to the rod and passing through its center. Two…Rotational Motion
Q8088Moment of inertia of a body about a given axis is 1.5 kg m². Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the…Rotational Motion
Q8298The area of a square is 5.29 cm². The area of 7 such squares taking into account the significant figures is:-Units and Measurements
Q8398Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the telescope…Optics
Q8524Two cars A and B are moving away from each other in opposite directions. Both the cars are moving with a speed of 20 ms^–1 with respect to the ground. If an…Oscillations and Waves
Q8547A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its…Oscillations and Waves

Chemistry

Q198The peptide that gives positive ceric ammonium nitrate and carbylamine tests is:Biomolecules
Q333HF has highest boiling point among hydrogen halides, because it has:Chemical Bonding and Molecular Structure
Q362Among the following species, the diamagnetic molecule isChemical Bonding and Molecular Structure
Q550Hinsberg's reagent is:Organic Compounds Containing Nitrogen
Q720The correct statements among I to III are: (I) Valence bond theory cannot explain the color exhibited by transition metal complexes. (II) Valence bond theory…Coordination Compounds
Q811The maximum number of possible oxidation states of actinoides are shown by:d- and f-Block Elements
Q941A solution of Ni(NO₃)₂ is electrolysed between platinum electrodes using 0.1 Faraday electricity. How many mole of Ni will be deposited at the cathode?Redox Reactions and Electrochemistry
Q1059The layer of atmosphere between 10 km to 50 km above the sea level is called as:Environmental Chemistry
Q1129At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as p = RT/(V - b) at T…Gaseous State
Q1382Assertion: For the extraction of iron, haematite ore is used. Reason: Haematite is a carbonate ore of iron.Isolation of Elements
Q1412The one that is not a carbonate ore is:Isolation of Elements
Q1450The correct statements among I to III regarding group 13 element oxides are, (I) Boron trioxide is acidic. (II) Oxides of aluminium and gallium are…p-Block Elements
Q192510 mL of 1mM surfactant solution forms a monolayer covering 0.24 cm² on a polar substrate. If the polar head is approximated as cube, what is its edge length?Solid State
Q1964Molal depression constant for a solvent is 4.0 kg mol^–1. The depression in the freezing point of the solvent for 0.03 mol kg^–1 solution of K₂SO₄ is: (Assume…Solutions
Q2034What would be the molality of 20% (mass/ mass) aqueous solution of KI? (molar mass of KI = 166 g mol^–1)Some Basic Concepts in Chemistry
Q2182Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (The Bohr radius is represented by a₀)Atomic Structure
Q2319During compression of a spring the work done is 10kJ and 2kJ escaped to the surroundings as heat. The change in internal energy, Δ U(inkJ) is:Chemical Thermodynamics

Mathematics

Q2489The vertices B and C of a Δ ABC lie on the line, (x + 2)/3 = (y - 1)/0 = z/4 such that BC = 5 units. Then the area (in sq. units) of this triangle, given that…Three Dimensional Geometry
Q2564Let P be the plane, which contains the line of intersection of the planes, x + y + z – 6 = 0 and 2x + 3y + z + 5 = 0 and it is perpendicular to the xy-plane…Three Dimensional Geometry
Q2742A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ⁻¹(1/2). Water is poured into it at a constant rate of 5 cubic…Limit, Continuity and Differentiability
Q2815The area (in sq. units) of the region A = (x, y): y ² 2 ≤ x ≤ y + 4 is:-Integral Calculus
Q2981If some three consecutive in the binomial expansion of (x + 1)ⁿ is powers of x are in the ratio 2: 15: 70, then the average of these three coefficient is:-Binomial Theorem and Its Simple Applications
Q3022A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (–8, 5) and (6, 5)…Coordinate Geometry
Q3093The common tangent to the circles x ² + y² = 4 and x² + y² + 6x + 8y – 24 = 0 also passes through the point:Coordinate Geometry
Q3153Let z C be such that |z| < 1. If ω = (5 + 3z)/(5(1 - z)) z, then:Complex Numbers and Quadratic Equations
Q3304If f: R → R is a differentiable function and f(2) = 6, then lim x → 2 (∫₆^(f(x)) 2tdt)/((x - 2)) is:-Integral Calculus
Q3367The value of the integral ∫₀¹ x cot ⁻¹ (1 - x² + x⁴)dx is:-Integral Calculus
Q3520If cos xdy/dx - y sin x = 6x, (0 < x < (π)/2) and y((π)/3) = 0 then y((π)/6) is equal to:-Differential Equations
Q3720If the tangent to the parabola y² = x at a point (α, β), (β > 0) is also a tangent to the ellipse, x² + 2y² = 1, then α is equal to:Coordinate Geometry
Q3842The domain of the definition of the function f(x) = 1/(4 - x²) + log ₁₀(x³ - x) isSets, Relations and Functions
Q3915Two poles standing on a horizontal ground are of heights 5m and 10 m respectively. The line joining their tops makes an angle of 15º with ground. Then the…Height and Distance
Q4048∫ e^(sec x) (sec x tan xf(x) + sec x tan x + se x² x)dx = e^(s)ecxf(x) + C then a possible choice of f(x) is:-Integral Calculus
Q4136If f(x) = [x] - [ x/4 ],x 4, where [x] denotes the greatest integer function, thenLimit, Continuity and Differentiability
Q4137If the function f(x) = \ a|π - x| + 1,x ≤ 5 b|x - π | + 3,x > 5. is continuous at x = 5, then the value of a – b is:-Limit, Continuity and Differentiability
Q4322If p ⇒ (q r) is false, then the truth values of p, q, r are respectively:-Mathematical Reasoning
Q4566If the system of equations 2x + 3y – z = 0, x + ky – 2z = 0 and 2x – y + z = 0 has a non-trival solution (x, y, z), then x/y + y/z + z/x + k is equal to:-Matrices and Determinants
Q4661The total number of matrices A = (0 2y 1 2x y - 1 2x - y 1) (x, y R,x ≠ y) for which A^(T)A = 3I₃ is:-Matrices and Determinants
Q4708The area (in sq. units) of the smaller of the two circles that touch the parabola, y² = 4x at the point (1, 2) and the x-axis is:-Coordinate Geometry
Q5095If m is chosen in the quadratic equation (m² + 1) x² – 3x + (m² + 1)² = 0 such that the sum of its roots is greatest, then the absolute difference of the…Complex Numbers and Quadratic Equations
Q5203If the sum and product of the first three term in an A.P. are 33 and 1155, respectively, then a value of its 11^(t)h term is:-Sequence and Series
Q5304The sum of the series 1 + 2 × 3 + 3 × 5 + 4 × 7 +.... upto 11th term is:-Sequence and Series
Q5309Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row consists of two balls and so on…Sequence and Series
Q5401Two newspapers A and B are published in a city. It is known that 25% of the city populations reads A and 20% reads B while 8% reads both A and B. Further, 30%…Sets, Relations and Functions
Q5416The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35 respectively, then y/x is equal toStatistics and Probability
Q5503If the two lines x + (a – 1) y = 1 and 2x + a²y = 1 (a R – 0, 1) are perpendicular, then the distance of their point of intersection from the origin is:Coordinate Geometry
Q5665The value of sin 10º sin30º sin50º sin70º is:-Trigonometry
Q5769If a unit vector a makes angles π /3 with i, π / 4 with j and θ (0, π) with k, then a value of θ is:-Vector Algebra