Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2019 11 Jan Evening shift Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

80days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 201911 Jan, Evening shift

Physics 23Chemistry 16Mathematics 29

Physics

Q5992In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is λ. If an electron jumps from N-shell…Atoms and Nuclei
Q6235A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same direction on the moving particle…Rotational Motion
Q6462A galvanometer having a resistance of 20 Ω and 30 divisions on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected…Current Electricity
Q6632In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in the stopping potential is…Dual Nature of Matter and Radiation
Q6684A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a…Electromagnetic Induction and Alternating Currents
Q6753A 27 mW laser beam has a cross-sectional area of 10 mm². The magnitude of the maximum electric field in this electromagnetic wave is given by: [Given…Electromagnetic Waves
Q6941An electric field of 1000 V/m is applied to an electric dipole at angle of 45^(o). The value of electric dipole moment is 10^–29 C.m. What is the potential…Electrostatics
Q7101A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material…Optics
Q7449When 100 g of a liquid A at 100^(o)C is added to 50 g of a liquid B at temperature 75^(o)C, the temperature of the mixture becomes 90^(o)C. The temperature of…Thermodynamics
Q7450A metal ball of mass 0.1 kg is heated upto 500^(o)C and dropped into a vessel of heat capacity 800 JK^–1 and containing 0.5 kg water. The initial temperature…Thermodynamics
Q7478In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where K is a constant. In this…Thermodynamics
Q7515Two rods A and B of identical dimensions are at temperature 30^°C. If A is heated upto 180^(o)C and B upto T^(o)C, then the new lengths are the same. If the…Thermodynamics
Q7516A thermometer graduated according to a linear scale reads a value x₀ when in contact with boiling water, and x₀/3 when in contact with ice. What is the…Properties of Solids and Liquids
Q7638A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 × 10^–6 J/ T when a magnetic intensity of 60 × 10³ A/m is…Magnetic Effects of Current and Magnetism
Q7745The region between y = 0 and y = d contains a magnetic field B = B z. A particle of mass m and charge q enters the region with a velocity v = v i. If d =…Magnetic Effects of Current and Magnetism
Q7746A particle of mass m and charge q is in an electric and magnetic field given by E = 2 i + 3 j; B = 4 j + 6 k. The charged particle is shifted from he origin…Magnetic Effects of Current and Magnetism
Q7844A particle moves from the point (2.0 i + 4.0 j) m, at t = 0, with an initial velocity (5.0 i + 4.0 j) ms⁻¹. It is acted upon by a constant force which…Kinematics
Q8109The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the…Rotational Motion
Q8119A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating up and down with a small…Oscillations and Waves
Q8192The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of simple pendulum on the Earth is 2 s…Oscillations and Waves
Q8193A pendulum is executing simple harmonic motion and its maximum kinetic energy is K₁. If the length of the pendulum is doubled and it performs simple harmonic…Oscillations and Waves
Q8224If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young,s modulus will be:Units and Measurements
Q8396In a double-slit experiment, green light (5303 A°) falls on a double slit having a separation of 19.44 μ m and awidht of 4.05 μ m. The number of bright…Optics

Chemistry

Q473The reaction 2X → B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h. When the initial concentration of X is 0.5…Chemical Kinetics
Q528A compound 'X' on treatment with Br₂/NaOH, provided C₃H₉N, which gives positive carbylamine test. Compound 'X' is:Organic Compounds Containing Nitrogen
Q590The coordination number of Th in K₄[Th(C₂O₄)₄(OH₂)₂] is: (C₂O ₄²⁻ = Oxalato)Coordination Compounds
Q761A 4KOH,O₂ 2 B (Green) + 2H₂O 3 B 4HCl 2 C (Purple) + Mn O₂ + 2H₂O 2 C H₂O.KI 2 A (Purple) + 2KOH + D In the above sequence of reactions, A and D…d- and f-Block Elements
Q990Given the equilibrium constant: K C of the reaction: Cu(s) + 2Ag⁺ (aq) → Cu²⁺ (aq) + 2Ag(s) is 10 × 10¹⁵, calculate the E cell ⁰ of this reaciton at 298 K…Redox Reactions and Electrochemistry
Q1015The higher concentration of which gas in air can cause stiffness of flower buds?Environmental Chemistry
Q1016Taj Mahal is being slowly disfigured and discoloured. This is primarily due to:Environmental Chemistry
Q1589The correct option with respect to the Pauling electronegativity values of the element is:Classification of Elements and Periodicity in Properties
Q1923The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is: (Edge length is represented by 'a')Solid State
Q1965K₂Hgl₄ is 40% ionised in aqueous solution. The value of its van't Hoff factor (i) is:Solutions
Q203625 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume of this HCl solution required to titrate 30 mL of 0.2 M…Some Basic Concepts in Chemistry
Q2173The de Broglie wavelength (λ) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v₀ is threshold frequency]:Atomic Structure
Q2237Among the colloids cheese (C), milk (M), and smoke (S), the correct combination of the dispersed phase and dispersion medium, respectively is:Surface Chemistry
Q2301For the equilibrium, 2H₂O H₃O⁺ + OH^ -, the value of Δ G^(o) at 298 K is approximately:Chemical Thermodynamics
Q2302The reaction, MgO(s) + C(s) → Mg(s) + CO(g), for which Δ r H^(o) + 491.1 kJ mol^–1 and Δ r S^(o) = 198.0 JK^–1 mol^–1, is not feasible at 298 K. Temperature…Chemical Thermodynamics
Q2303The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by Δ r G^(o) = A – BT Where A and B are non-zero constants…Chemical Thermodynamics

Mathematics

Q2414Two lines (x - 3)/1 = (y + 1)/3 = (z - 6)/(- 1) and (x + 5)/7 = (y - 2)/(- 6) = (z - 3)/4 intersect at the point R. The reflection of R in the xy-plane has…Three Dimensional Geometry
Q2568If the point (2, α, β) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane 2x – 5y = 15, then 2 α – 3…Three Dimensional Geometry
Q2708Let f(x) = x/(√(a² + x²)) - (d - x)/(√(b² + (d - x)²)), x R, where a, b and d are non-zero real constants. Then:Limit, Continuity and Differentiability
Q2817The area (in sq. units) in the first quadrant bounded by the parabola, y = x² + 1, the tangent to it at the point (2, 5) and the coordinate axes is:Integral Calculus
Q2983Let S n = 1 + q + q² +..... + qⁿ and T n = 1 + ((q + 1)/2) + ((q + 1)/2)² +......+ ((q + 1)/2)ⁿ where q is a real number and q ≠ 1. If ¹⁰¹C₁ + ¹⁰¹C₂. S₁ +…Binomial Theorem and Its Simple Applications
Q2984Let (x + 10)⁵⁰ + (x - 10)⁵⁰ = a₀ + a₁x + a₂x² +.... + a₅₀x⁵⁰, for all x R; then a₂/a₀ is equal toBinomial Theorem and Its Simple Applications
Q3254Let z be a complex number such that |z| + z = 3 + i (where i = √(- 1)). Then |z| is equal to:Complex Numbers and Quadratic Equations
Q3371The integral ∫ π /6 ^(π /4) dx/(sin 2x(tan ⁵x + cot ⁵x)) equals:Integral Calculus
Q3516The solution of the differential equation, dy/dx = (x – y)², when y(1) = 1, is:Differential Equations
Q3751Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this…Coordinate Geometry
Q3798The number of functions f from 1, 2, 3,...., 20 onto 1, 2, 3,...., 20 such that f(k) is a multiple of 3, whenever k is a multiple of 4, is:Sets, Relations and Functions
Q3799Let a function f: (0, ∞) → (0, ∞) be defined by f(x) = | 1 - 1/x |. Then f is:Sets, Relations and Functions
Q3942A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this…Coordinate Geometry
Q3964If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is:Coordinate Geometry
Q4016If ∫ (x + 1)/(√(2x - 1)) dx = f(x) √(2x - 1) + C, where C is a constant of integration, then f(x) is equal to:Integral Calculus
Q4094All x satisfying the inequality (cot^–1 x)²– 7(cot^–1 x) + 10 > 0, lie in the interval:Trigonometry
Q4188Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – π) cos |x| is not differentiable. Then the set K is equal to:Limit, Continuity and Differentiability
Q4273lim x → 0 x cot (4x) sin ²x cot ² (2x) is equal to:Limit, Continuity and Differentiability
Q4409Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is:Mathematical Reasoning
Q4454If | a - b - c 2a 2a 2b b - c - a 2b 2c 2c c - a - b | = (a + b + c) (x + a + b + c)², x ≠ 0, then x is equal to:Matrices and Determinants
Q4520Let A and B be two invertible matrices of order 3 × 3. If det(ABA^(T)) = 8 and det(AB^–1) = 8, then det (BA^–1 B^(T)) is equal to:Matrices and Determinants
Q4717If the area of the triangle whose one vertex is at the vertex of the parabola, y² + 4(x – a²) = 0 and the othertwo vertices are the points of intersection of…Coordinate Geometry
Q4879A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If X be the number of white balls drawn…Statistics and Probability
Q4975Let S = 1, 2,......, 20. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randonly chosen subset of S…Statistics and Probability
Q5134Let α and β be the roots of the quadratic equation x² sin θ – x(sin θ cos θ + 1) + cos θ = 0 (0 < θ < 45^(o)), and α < β. Then Σ n = 0 ^∞ (α ⁿ + ((- 1)ⁿ)/(β…Complex Numbers and Quadratic Equations
Q5177Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression x^(m) yⁿ (1 + x^(2m))(1 + y²ⁿ) is:Sequence and Series
Q5206If 19^(t)h term of a non-zero A.P. is zero, then its (49^(t)h term): (29^(t)h term) is:Sequence and Series
Q5608If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the diagonal AD is:Coordinate Geometry
Q5767Let 3 i + j, i + 3 j and β i + (1 - β) j respectively be the position vectors of the points A, B and C with respect to the origin O. If the distance of C from…Vector Algebra