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

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JEE Main 201911 Jan, Morning shift

Physics 20Chemistry 21Mathematics 30

Physics

Q5993A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 A°. The radius of the atom in the excited state, in terms of…Atoms and Nuclei
Q6216A body of mass 1 kg falls freely from a height of 100 m, on a platform mass 3 kg which is mounted on a spring having spring constant k = 1.25 × 10⁶ N/m. The…Rotational Motion
Q6265A particle is moving along a circular path with a constant speed of 10 ms^–1. What is the magnitude of the change in velocity of the particle, when it moves…Kinematics
Q6266A body is projected at t = 0 with a velocity 10 ms^–1 at an angle of 60^(o) with the horizontal. The radius of curvature of its trajectory at t = 1s is R…Kinematics
Q6345An amplitude modulated signal is given by V(t) = 10[1 + 0.3cos(2.2 × 10⁴ t)] sin(5.5 × 10⁵ t). Here t is in seconds. The sideband frequencies (in kHz) are…Communication Systems
Q6425Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to…Current Electricity
Q6540If the de Broglie wavelength of an electron is equal to the 10^–3 times the wavelength of a photon of frequency 6 × 10¹⁴ Hz, then the speed of electron is…Dual Nature of Matter and Radiation
Q6681There are two long co-axial solenoids of same length l. The inner and outer coils have radii r₁ and r₂ and number of turns per unit length n₁ and n₂…Electromagnetic Induction and Alternating Currents
Q6754An electromagnetic wave of intensity 50 Wm^–2 enters in a medium of refractive index 'n' without any loss. The ratio of the magnitudes of electric, and the…Electromagnetic Waves
Q7039An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at…Optics
Q7189A satellite is revolving in a circular orbit at a height h form the earth surface, such that h < < R where R is the earth. Assuming that the effect of earth's…Gravitation
Q7292A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. considering only translational and rotational modes, the total internal…Thermodynamics
Q7448Ice at –20^(o)C is added to 50 g of water at 40^(o)C. When the temperature of the mixture reaches 0^(o)C, it is found that 20 g of ice is still unmelted. The…Properties of Solids and Liquids
Q7479A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVˣ = constant…Thermodynamics
Q7744In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path if a magnetic field 100 mT is then…Magnetic Effects of Current and Magnetism
Q7986A liquid of density ρ is coming out of a hose pipe of radius a with horizontal speed and hits a mesh. 50% of the liquid passes through the mesh unaffected…Properties of Solids and Liquids
Q8151A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin (π t)/90. The ratio of kinetic to potential energy of this…Oscillations and Waves
Q8230The force of interaction between two atoms is given by F = α β exp (- (x²)/(α kt)); where x is the distance, k is the Boltzmann constant and T is temperature…Units and Measurements
Q8425In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is 1/8 th of wavelength. The ratio…Optics
Q8492Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450 t – 9x) where distance and time are measured in SI units. The…Oscillations and Waves

Chemistry

Q119The correct match between items I and II is: Item-I (Mixture) Item-II (Seperation method) (A) H₂O: Sugar (P) Sublimation (B) H₂O: Aniline (Q)…Some Basic Principles of Organic Chemistry
Q411Consider the reaction N₂(g) + 3H₂(g) 2NH₃(g) The equilibrium constant of the above reaction is K p. If pure ammonia is left to dissociate, the partial…Equilibrium
Q446If a reaction follows the Arrhenius equation, the plot ln k vs 1/((RT)) gives straight line with a gradient (- y) unit. The energy required to active the…Chemical Kinetics
Q558Match the metals (column I) with the coordination compound(s)/enzyme(s) (column II) (Column I) Metals (Column II) Coordination compounds(s) enzyme(s) (A) Co…Coordination Compounds
Q868The element that usually does NOT show variable oxidation states is:d- and f-Block Elements
Q991For the cell Zn(s) |Zn²⁺ (aq)| |Mˣ+ (aq)| M(s), different half cells and their standard electrode potentials are given below: Mˣ+ (aq)/M(s) Au³⁺(aq)/Au(s)…Redox Reactions and Electrochemistry
Q1022Peroxyacetyl nitrate (PAN), an eye irritant is produced by:Environmental Chemistry
Q1085The concentration of dissolved oxygen (DO) in cold water can go upto:Environmental Chemistry
Q1205NaH is an example of:Hydrogen
Q1244The correct statements among (a) to (d) regarding H₂ as a fuel are: (a) It produces less pollutants than petrol. (b) A cylinder of compressed dihydrogen…Hydrogen
Q1410Match the ores (column A) with the metals (column B): (Column A) ores (Column B) Metals (I) Siderite (a) Zinc (II) Kaolinite (b) Copper (III) Malachite (c)…Isolation of Elements
Q1552The correct order of the atomic radii of C, Cs, Al, and S is:Classification of Elements and Periodicity in Properties
Q1877The amphoteric hydroxide is:S Block Elements
Q1922A solid having density of 9 × 10³ kg m^–3 forms face centred cubic crystals of edge length 200 2 pm. What is the molar mass of the solid? [Avogadro constant 6…Solid State
Q1966The freezing point of a diluted milk sample is found to be –0.2^(o)C, while it should have been –0.5^(o)C for pure milk. How much water has been added to pure…Solutions
Q2059A 10 mg effervescent tablet containing sodium bicarbonate and oxalic acid releases 0.25 ml of CO₂ at T = 298.15 K and p = 1 bar. If molar volume of CO₂ is…Some Basic Concepts in Chemistry
Q2071An organic compound is estimated through Duma's method and was found to evolve 6 moles of CO₂. 4 moles of H₂O and 1 mole of nitrogen gas. The formula of the…Some Basic Concepts in Chemistry
Q2161Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this purpose? [R H = 1 × 10⁵…Atomic Structure
Q2243An example of solid sol is:Surface Chemistry
Q2300For the chemical reaction X Y, the standard reaction Gibbs energy depends on temperature T (in K) as Δ r G^(o) (in kJ mol^–1) = 120 - 3/8 T. The major…Chemical Thermodynamics
Q2366Two blocks of the same metal having same mass and at temperature T₁ and T₂, respectively, are brought in contact with each other and allowed to attain thermal…Chemical Thermodynamics

Mathematics

Q2415The plane containing the line (x - 3)/2 = (y + 2)/(- 1) = (z - 1)/3 and also containing its projection on the plane 2x + 3y - z = 5, contains which one of the…Three Dimensional Geometry
Q2569The direction ratios of normal to the plane through the points (0, –1, 0) and (0, 0, 1) and making an angle (π)/4 with the plane y - z + 5 = 0 are:Three Dimensional Geometry
Q2643The maximum value of the function f(x) = 3x³ – 18x² + 27x – 40 on the set S = x R:x² + 30 ≤ 11x is:Limit, Continuity and Differentiability
Q2818The area (in sq. units) of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is:Integral Calculus
Q2955The sum of the real values of x for which the middle term in the binomial expansion of ((x³)/3 + 3/x)⁸ equals 5670 is:Binomial Theorem and Its Simple Applications
Q2985The value of r for which ²⁰C r ²⁰C₀ + ²⁰C r - 1 ²⁰C₁ + ²⁰C r - 2 ²⁰C₂ +.....+ ²⁰C₀ ²⁰C r is maximum, isBinomial Theorem and Its Simple Applications
Q3078The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from…Coordinate Geometry
Q3079A square is inscribed in the circle x² + y² – 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes. Then the distance of the vertex of this square…Coordinate Geometry
Q3096Two circles with equal radii are intersecting at the points (0, 1) and (0, –1). The tangent at the point (0, 1) to one of the circles passes through the…Coordinate Geometry
Q3239Let (- 2 - 1/3i)³ = (x + iy)/27(i = √(- 1)), where x and y are real numbers, then y - x equals:Complex Numbers and Quadratic Equations
Q3372The value of the integral ∫₋₂² (sin ²x)/([ x/(π) ] + 1/2) dx (where [x] denotes the greatest integer less than or equal to x) isIntegral Calculus
Q3591If y(x) is the solution of the differential equation dy/dx + ((2x + 1)/x)y = e⁻²ˣ, x > 0, where y(1) = 1/2e⁻², thenDifferential Equations
Q3687If xlog e (log e x) - x² + y² = 4(y > 0), then dy/dx at x = e is equal to:Limit, Continuity and Differentiability
Q3774If tangents are drawn to the ellipse x2 + 2y² = 2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted…Coordinate Geometry
Q3862Let f k (x) = 1/k(sin ^(k)x + cos ^(k)x) for k = 1, 2, 3,... Then for all x R, the value of f₄(x) - f₆(x) is equal toSets, Relations and Functions
Q3888Let f: R → R be defined by f(x) = x/(1 + x²),x R. Then the range of f is:Sets, Relations and Functions
Q3937Equation of a common tangent to the parabola y² = 4x and the hyperbola xy = 2 is:Coordinate Geometry
Q4017If ∫ (√(1 - x²))/(x⁴) dx = A(x) (√(1 - x²))^(m) + C, for a suitable chosen integer m and a function A(x), where C is a constant of integration, then…Integral Calculus
Q4189Let f(x) = \ - 1 - 2 ≤ x < 0 x² - 1, 0 ≤ x ≤ 2. and g(x) = | f(x) | + f(| x |). Then, in the interval (–2, 2), g is:Limit, Continuity and Differentiability
Q4277Let [x] denote the greatest integer less than or equal to x. Then lim x → 0 (tan (π sin ²x) + (| x | - sin (x[ x ]))²)/(x²)Limit, Continuity and Differentiability
Q4326If q is false and p q r is true, then which one of the following statements is a tautology ?Mathematical Reasoning
Q4569If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z = b x – 3y + 2z = c where a, b, c are non zero real numbers, has more one solution, then:Matrices and Determinants
Q4660Let A = (0 2q r p q - r p - q r). If AA^(T) = I₃, then | p | is:Matrices and Determinants
Q4949Two integers are selected at random from the set 1, 2,...., 11. Given that the sum of selected numbers is even, the conditional probability that both the…Statistics and Probability
Q5040In a triangle, the sum of lengths of two sides is x and the product of the lengths of the same two sides is y. If x² – c² = y, where c is the length of the…Properties of Triangle
Q5133If one real root of the quadratic equation 81x² + kx + 256 = 0 is cube of the other root, then a value of k isComplex Numbers and Quadratic Equations
Q5252Let a₁, a₂,......, a₁₀ be a G.P. If a₃/a₁ = 25, then a₉/a₅ equalsSequence and Series
Q5253The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is 27/19.Then the common ratio of this series is:Sequence and Series
Q5446The outcome of each of 30 items was observed; 10 items gave an outcome 1/2 – d each, 10 items gave outcome 1/2 each and the remaining 10 items gave outcome…Statistics and Probability
Q5810Let a = i + 2 j + 4 k, b = i + λ j + 4 k and c = 2 i + 4 j + (λ ² - 1) k be coplanar vectors. Then the non-zero vector a × c is:Vector Algebra