JEE Main 2020 (Online) 9th January Morning Slot — Question Paper

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Physics

• One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released…
• Consider a force F⃗ = - xî + yĵ . The work done by this force in moving a particle from…
• A body of mass m = 10 kg is attached to one end of a wire of length 0.3 m. The maximum…
• In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced…
• Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A…
• The electric fields of two plane electromagnetic plane waves in vacuum are given by E₁⃗…
• Water flows in a horizontal tube (see figure). The pressure of water changes by 700 Nm…
• A quantity f is given by f=√(hc⁵/G) where c is speed of light, G universal gravitational…
• If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main…
• The distance x covered by a particle in one dimensional motion varies with time t as x²…
• An electric dipole of moment p⃗ = ( - î - 3ĵ + 2k̂ ) × 10⁻²⁹ C.m is at the origin (0, 0…
• Both the diodes used in the circuit shown are assumed to be ideal and have negligible…
• A particle moving with kinetic energy E has de Broglie wavelength λ. If energy ΔE is…
• A body A of mass m is moving in a circular orbit of radius R about a planet. Another…
• The aperture diameter of a telescope is 5m. The separation between the moon and the…
• Radiation, with wavelength 6561 Aᵒ falls on a metal surface to produce photoelectrons…
• In the given circuit diagram, a wire is joining points B and D. The current in this wire…
• A long, straight wire of radius a carries a current distributed uniformly over its…
• Three harmonic waves having equal frequency ν and same intensity I₀, have phase angles…
• A vessel of depth 2h is half filled with a liquid of refractive index 2√2 and the upper…
• Three solid spheres each of mass m and diameter d are stuck together such that the lines…
• A charged particle of mass 'm' and charge 'q' moving under the influence of uniform…
• Two particles of equal mass m have respective initial velocities uî and u( (î + ĵ)/2 )…
• Consider a sphere of radius R which carries a uniform charge density ρ. If a sphere of…

Chemistry

• The acidic, basic and amphoteric oxides, respectively, are :
• The electronic configurations of bivalent europium and trivalent cerium are (atomic…
• According to the following diagram, A reduces BO₂ when the temperature is :
• The major product Z obtained in the following reaction scheme is :
• The Kₛₚ for the following dissociation is 1.6 × 10 –5 PbCl₂₍ₛ₎ ⇋ Pb_((aq))²⁺ +…
• 108 g of silver (molar mass 108 g mol –1 ) is deposited at cathode from AgNO₃(aq)…
• The molarity of HNO₃in a sample which has density 1.4 g/mL and mass percentage of 63% is…
• Complex X of composition Cr(H₂O)₆Clₙ has a spin only magnetic moment of 3.83 BM. It…
• 'X' melts at low temperature and is a bad conductor of electricity in both liquid and…
• For the following reactions A→(700K) Product A→ _(catalyst)^(500K) Product it was found…
• B has a smaller first ionization enthalpy than Be. Consider the following statements…
• [Pd(F)(Cl)(Br)(I)] 2– has n number of geometrical isomers. Then, the spin-only magnetic…
• The correct order of heat of combustion for following alkadienes is :
• If enthalpy of atomisation for Br₂₍₁₎ is x kJ/mol and bond enthalpy for Br₂ is y kJ/mol…
• The increasing order of basicity for the following intermediates is (from weak to…
• The hardness of a water sample containing 10 –3 M MgSO₄ expressed as CaCO₃ equivalents…
• A chemist has 4 samples of artificial sweetener A, B, C and D. To identify these…
• The compound that cannot act both as oxidising and reducing agent is :
• If the magnetic moment of a dioxygen species is 1.73 B.M, it may be :
• Which of these will produce the highest yield in Friedel Crafts reaction?
• The de Broglie wavelength of an electron in the 4th Bohr orbit is :
• How much amount of NaCl should be added to 600 g of water (ρ = 1.00 g/mL) to decrease…

Mathematics

• If for all real triplets (a, b, c), ƒ(x) = a + bx + cx²; then ∫₀¹ f(x)dx is equal to :
• If the number of five digit numbers with distinct digits and 2 at the 10ᵗʰ place is 336…
• If for x ≥ 0, y = y(x) is the solution of the differential equation (x + 1)dy = ((x +…
• The number of real roots of the equation, e⁴ˣ + e³ˣ – 4e²ˣ + eˣ + 1 = 0 is :
• The product 2^(1/4).4^(1/16).8^(1/48).16^(1/128) ... to ∞ is equal to :
• If the vectors, p⃗ = ( a + 1 )î + aĵ + ak̂, q⃗ = aî + ( a + 1 )ĵ + ak̂ and r⃗ = aî + aĵ…
• The value of ∫₀^(2π) (xsin ⁸x)/(sin ⁸x + cos ⁸x) dx is equal to :
• The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the…
• In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are…
• Let the observations xᵢ (1 ≤ i ≤ 10) satisfy the equations, Σᵢ₌₁¹⁰ ( x₁ - 5 ) = 10 and…
• The coefficient of x⁴ is the expansion of (1 + x + x²)¹⁰ is _____.
• A circle touches the y-axis at the point (0, 4) and passes through the point (2, 0)…
• If for some α and β in R, the intersection of the following three places x + 4y – 2z = 1…
• Let z be complex number such that | (z - i)/(z + 2i) | = 1 and |z| = 5/2. Then the value…
• Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be…
• A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness…
• If ƒ'(x) = tan –1 (secx + tanx), -π/2<x<π/2, and ƒ(0) = 0, then ƒ(1) is equal to :
• If f(x) = { (sin (a + 2)x + sin x)/x;, x < 0; b ;, x = 0; (( x + 3x² )^(1/3) -…
• The integral ∫ dx/(x+4)^(8/7)(x-3)^(6/7) is equal to : (where C is a constant of…
• The value of cos³(π/8) cos(3π/8)+sin³(π/8) sin(3π/8) is :
• If e₁ and e₂ are the eccentricities of the ellipse, x²/18 + y²/4 = 1 and the hyperbola…
• Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for…
• If the matrices A = [ 1, 1, 2; 1, 3, 4; 1, - 1, 3 ], B = adjA and C = 3A, then (| adjB…

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