JEE Main 2020 (Online) 5th September Evening Slot — Question Paper

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Physics

• A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it…
• A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates…
• Two coherent sources of sound, S₁ and S₂, produce sound waves of the same wavelength, λ…
• The velocity (v) and time (t) graph of a body in a straight line motion is shown in the…
• The surface of a metal is illuminated alternately with photons of energies E₁ = 4 eV and…
• A galvanometer is used in laboratory for detecting the null point in electrical…
• In an experiment to verify Stokes law, a small spherical ball of radius r and density ρ…
• A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The…
• Two different wires having lengths L₁ and L₂, and respective temperature coefficient of…
• The quantities x = 1/√μ₀ε₀, y = E/B and z = l/CR are defined where C-capacitance…
• In an adiabatic process, the density of a diatomic gas becomes 32 times its initial…
• A driver in a car, approaching a vertical wall notices that the frequency of his car…
• A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane…
• An infinitely long, straight wire carrying current I, one side opened rectangular loop…
• A prism of angle A = 1ᵒ has a refractive index μ = 1.5. A good estimate for the minimum…
• The correct match between the entries in column I and column II are : I | II ; Radiation…
• In the circuit, given in the figure currents in different branches and value of one…
• An iron rod of volume 10 –3 m³ and relative permeability 1000 is placed as core in a…
• A radioactive nucleus decays by two different processes. The half life for the first…
• The acceleration due to gravity on the earth’s surface at the poles is g and angular…
• Nitrogen gas is at 300ᵒC temperature. The temperature (in K) at which the rms speed of a…
• A spaceship in space sweeps stationary interplanetary dust. As a result, its mass…
• Ten charges are placed on the circumference of a circle of radius R with constant…

Chemistry

• Hydrogen peroxide, in the pure state, is :
• For a dimerization reaction, 2A(g) → A₂(g) at 298 K, ΔUᵒ = –20 kJ mol –1 , ΔSᵒ = –30 JK…
• The final major product of the following reaction is :
• The rate constant (k) of a reaction is measured at differenct temperatures (T), and the…
• The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :
• The major product formed in the following reaction is : CH₃CH = CHCH(CH₃)₂ →(HBr)
• Consider the complex ions, trans-[Co(en)₂Cl₂]⁺ (A) and cis-[Co(en)₂Cl₂]⁺ (B). The…
• Reaction of ammonia with excess Cl₂ gives :
• Considering that Δ₀ > P, the magnetic moment (in BM) of [Ru(H₂O)₆]²⁺ would be _________.
• Which one of the following polymers is not obtained by condensation polymerisation?
• For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a…
• The increasing order of boiling points of the following compounds is :
• The variation of molar conductivity with concentration of an electrolyte (X) in aqueous…
• The one that is NOT suitable for the removal of permanent hardness of water is :
• An element crystallises in a face-centred cubic (fcc) unit cell with cell edge a. The…
• The volume, in mL, of 0.02 M K₂Cr₂O₇ solution required to react with 0.288 g of ferrous…
• The correct order of the ionic radii of O 2– , N 3– , F – , Mg²⁺, Na⁺ and Al³⁺ is :
• Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol –1 , and 4 kJ mol –1…
• Among the following compounds, geometrical isomerism is exhibited by :
• Boron and silicon of very high purity can be obtained through :
• Adsorption of a gas follows Freundlich adsorption isotherm. If x is the mass of the gas…
• The number of chiral carbons present in sucrose is _____.
• The correct statement about probability density (except at infinite distance from…

Mathematics

• The derivative of tan ⁻¹( (√(1 + x²) - 1)/x ) with respect to tan ⁻¹( 2x√(1 - x²)/(1 -…
• The coefficient of x⁴ in the expansion of (1 + x + x² + x³)⁶ in powers of x, is ______.
• If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2…
• If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the…
• Let y = y(x) be the solution of the differential equation cosxdy/dx + 2ysinx = sin2x, x…
• If ∫ (cos θ)/(5+7 sin θ-2cos²θ)dθ = Alogₑ|B(θ)|+C, where C is a constant of integration…
• The value of ( (- 1 + i√3)/(1 - i) )³⁰ is :
• If the length of the chord of the circle, x² + y² = r² (r > 0) along the line, y – 2x =…
• Let the vectors a⃗, b⃗, c⃗ be such that | a⃗ | = 2, | b⃗ | = 4 and | c⃗ | = 4. If the…
• In a bombing attack, there is 50% chance that a bomb will hit the target. Atleast two…
• If the system of linear equations x + y + 3z = 0 x + 3y + k²z = 0 3x + y + 3z = 0 has a…
• If α and β are the roots of the equation, 7x² – 3x – 2 = 0, then the value of α/(1 - α…
• Which of the following points lies on the tangent to the curve x⁴eʸ + 2√(y + 1) = 3 at…
• If for some α ∈ R, the lines L₁ : (x + 1)/2 = (y - 2)/(- 1) = (z - 1)/1 and L₂ : (x +…
• If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers…
• The area (in sq. units) of the region A = (x, y) : (x – 1)[x] ≤ y ≤ 2√x, 0 ≤ x ≤ 2…
• If the sum of the first 20 terms of the series log _(( 7^(1/2) ))x + log _(( 7^(1/3) ))x…
• If L = sin²(π/16) - sin²(π/8) and M = cos²(π/16) - sin²(π/8), then :
• There are 3 sections in a question paper and each section contains 5 questions. A…
• If the line y = mx + c is a common tangent to the hyperbola x²/100 - y²/64 = 1 and the…
• If x = 1 is a critical point of the function f(x) = (3x² + ax – 2 – a)eˣ , then :
• lim _(x → 0) x( e^(( √(1 + x² + x⁴) - 1 )/x) - 1 )/(√(1 + x² + x⁴) - 1)
• Let A = a, b, c and B = 1, 2, 3, 4. Then the number of elements in the set C = f : A → B…

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