JEE Main 2020 (Online) 3rd September Morning Slot — Question Paper

Download this paper as a PDF (14 pages, with answer key)

Physics

• A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it…
• Model a torch battery of length l to be made up of a thin cylindrical bar of radius ‘a’…
• Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness…
• The magnetic field of a plane electromagnetic wave is B⃗ = 3 × 10⁻⁸sin [ 200π ( y + ct )…
• In the circuit shown in the figure, the total charge is 750 μC and the voltage across…
• In a radioactive material, fraction of active material remaining after time t is 9/16…
• When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid…
• When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm…
• An observer can see through a small hole on the side of a jar (radius 15 cm) at a point…
• Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of…
• A charged particle carrying charge 1 μC is moving with velocity ( 2î + 3ĵ + 4k̂ ) ms –1…
• When a diode is forward biased, it has a voltage drop of 0.5 V. The safe limit of…
• A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal…
• A balloon filled with helium (32ᵒC and 1.7 atm.) bursts. Immediately afterwards the…
• In a Young’s double slit experiment, light of 500 nm is used to produce an interference…
• A 750 Hz, 20 V (rms) source is connected to a resistance of 100 Ω, an inductance of…
• Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio…
• A satellite is moving in a low nearly circular orbit around the earth. Its radius is…
• An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is…
• Two isolated conducting spheres S₁ and S₂ of radius 2/3R and 1/3R have 12 μC and –3 μC…
• A bakelite beaker has volume capacity of 500 cc at 30ᵒC. When it is partially filled…
• Consider a gas of triatomic molecules. The molecules are assumed to be triangular and…
• A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support…
• Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing…
• A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg…

Chemistry

• The antifertility drug “Novestrol” can react with :
• An acidic buffer is obtained on mixing :
• The photoelectric current from Na (Work function, w₀ = 2.3 eV) is stopped by the output…
• An element with molar mass 2.7 × 10⁻² kg mol⁻¹ forms a cubic unit cell with edge length…
• The volume strength of 8.9 M H₂O₂ solution calculated at 273 K and 1 atm is ______. (R =…
• Glycerol is separated in soap industries by :
• In a molecule of pyrophosphoric acid, the number of P - OH, P = O and P - O - P…
• Which one of the following compounds possesses the most acidic hydrogen?
• The total number of monohalogenated organic products in the following (including…
• The electronic spectrum of [Ti(H₂O)₆]³⁺ shows a single broad peak with a maximum at…
• Which of the following compounds produces an optically inactive compound on hydrogenation?
• If the boiling point of H₂O is 373 K, the boiling point of H₂S will be :
• The mole fraction of glucose (C₆H₁₂O₆ ) in an aqueous binary solution is 0.1. The mass…
• Aqua regia is used for dissolving noble metals (Au, Pt, etc.). The gas evolved in this…
• The mechanism of S N 1 reaction is given as : R-X → R⊕ X⊖ → R⊕ ∥ X⊖ →(Y⊖) R-Y + X⊖ A…
• The complex that can show optical activity is :
• Of the species, NO, NO⁺, NO²⁺ and NO⁻ , the one with minimum bond strength is :
• Let C NaCl and C BaSO₄ be the conductances (in S) measured for saturated aqueous…
• Tyndall effect is observed when:
• It is true that :
• The atomic number of the element unnilennium is :

Mathematics

• The function, f(x) = (3x – 7)x 2/3 , x ∈ R, is increasing for all x lying in :
• For the frequency distribution : Variate (x) : x₁ x₂ x₃ .... x₁₅ Frequency (f) : f₁ f₂…
• Let A = [ x, 1; 1, 0 ], x ∈ R and A⁴ = [aᵢⱼ]. If a₁₁ = 109, then a₂₂ is equal to _______ .
• If y² + logₑ (cos²x) = y, x ∈ ( - π/2,π/2 ), then :
• The value of (2.¹P₀ – 3.²P₁ + 4.³P₂ .... up to 51ᵗʰ term) + (1! – 2! + 3! – ..... up to…
• If the number of integral terms in the expansion of (3 1/2 + 5 1/8 )ⁿ is exactly 33…
• A dice is thrown two times and the sum of the scores appearing on the die is observed to…
• ∫_(- π)^π | π - | x | |dx is equal to :
• The solution curve of the differential equation, (1 + e⁻ˣ)(1 + y²)dy/dx = y², which…
• A hyperbola having the transverse axis of length √2 has the same foci as that of the…
• If Δ = | x - 2, 2x - 3, 3x - 4; 2x - 3, 3x - 4, 4x - 5; 3x - 5, 5x - 8, 10x - 17 | = Ax³…
• The area (in sq. units) of the region (x, y) : 0 ≤ y ≤ x² + 1, 0 ≤ y ≤ x + 1, 1/2 ≤ x ≤…
• Let P be a point on the parabola, y² = 12x and N be the foot of the perpendicular drawn…
• If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum…
• If lim _(x → 0) { 1/x⁸( 1 - cos x²/2 - cos x²/4 + cos x²/2 cos x²/4 ) } = 2⁻ᵏ then the…
• The lines r⃗ = ( î - ĵ ) + l( 2î + k̂ ) and r⃗ = ( 2î - ĵ ) + m( î + ĵ + k̂ )
• The diameter of the circle, whose centre lies on the line x + y = 2 in the first…
• If ( (1 + i)/(1 - i) )^(m/2) = ( (1 + i)/(1 - i) )^(n/3) = 1, (m, n ∈ N) then the…
• If α and β are the roots of the equation x² + px + 2 = 0 and 1/α and 1/β are the roots…
• Let [t] denote the greatest integer ≤ t. If for some λ ∈ R - 1, 0, lim _(x → 0) | (1 - x…
• 2π - ( sin ⁻¹4/5 + sin ⁻¹5/13 + sin ⁻¹16/65 ) is equal to :
• The foot of the perpendicular drawn from the point (4, 2, 3) to the line joining the…
• Consider the two sets : A = m ∈ R : both the roots of x² – (m + 1)x + m + 4 = 0 are real…
• The value of ( 0.16 )^(log _(2.5)( 1/3 + 1/3² + ....to ∞ )) is equal to ______.

Download all JEE Main 2020 PYQs chapter-wise as free PDFs