JEE Main 2020 (Online) 2nd September Evening Slot — Question Paper

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Physics

• A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled…
• An ideal gas in a closed container is slowly heated. As its temperature increases, which…
• If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then…
• A heat engine is involved with exchange of heat of 1915 J, – 40J, + 125 J and –Q J…
• A particle of mass m is moving along the x-axis with initial velocity uî. It collides…
• An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2…
• A potentiometer wire PQ of 1 m length is connected to a standard cell E₁. Another cell…
• In a plane electromagnetic wave, the directions of electric field and magnetic field are…
• A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie…
• The height ‘h’ at which the weight of a body will be the same as that at the same depth…
• An inductance coil has a reactance of 100 Ω. When an AC signal of frequency 1000 Hz is…
• In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the…
• Two uniform circular discs are rotating independently in the same direction around their…
• A charge Q is distributed over two concentric conducting thin spherical shells radii r…
• When the temperature of a metal wire is increased from 0ᵒC to 10ᵒC, its length increases…
• A 10 μF capacitor is fully charged to a potential difference of 50 V. After removing the…
• The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and…
• In the following digital circuit, what will be the output at ‘Z’, when the input (A, B)…
• The displacement time graph of a particle executing S.H.M is given in figure : (sketch…
• A light ray enters a solid glass sphere of refractive index μ = √3 at an angle of…
• A square shaped hole of side l = a/2 is carved out at a distance d = a/2 from the centre…
• A wire of density 9 × 10 –3 kg cm –3 is stretched between two clamps 1 m apart. The…
• A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA…
• In a hydrogen atom the electron makes a transition from (n + 1)ᵗʰ level to the nᵗʰ…
• A small point mass carrying some positive charge on it, is released from the edge of a…

Chemistry

• Cast iron is used for the manufacture of :
• The ratio of the mass percentages of ‘C & H’ and ‘C & O’ of a saturated acyclic organic…
• The shape / structure of [XeF₅] – and XeO₃F₂, respectively, are
• Two elements A and B have similar chemical properties. They don’t form solid…
• The work function of sodium metal is 4.41 × 10 –19 J. If photons of wavelength 300 nm…
• Arrange the following labelled hydrogens in decreasing order of acidity :
• The oxidation states of transition metal atoms in K₂Cr₂O₇, KMnO₄ and K₂FeO₄…
• The major product obtained from E₂ - elimination of 3-bromo-2-fluoropentane is
• Simplified absorption spectra of three complexes ((i), (ii) and (iii)) of Mn⁺ ion are…
• Two compounds A and B with same molecular formula (C₃H₆O) undergo Grignard’s reaction…
• The results given in the below table were obtained during kinetic studies of the…
• Amongst the following statements regarding adsorption, those that are valid are (a) ΔH…
• An organic compound ‘A’ (C₉H₁₀O) when treated with conc. HI undergoes cleavage to yield…
• Three elements X, Y and Z are in the 3ʳᵈ period of the periodic table. The oxides of X…
• The molecular geometry of SF₆ is octahedral. What is the geometry of SF₄ (including lone…
• If you spill a chemical toilet cleaning liquid on your hand, your first aid would be
• For the disproportionation reaction 2Cu⁺(aq) ⇌ Cu(s) + Cu²⁺(aq) at 298 K. ln K (where K…
• The number of subshells associated with n = 4 and m = –2 quantum numbers is
• The heat of combustion of ethanol into carbon dioxide and water is – 327 kcal at…
• Match the type of interaction in column A with the distance dependence of their…
• The one that is not expected to show isomerism is :
• The size of a raw mango shrinks to a much smaller size when kept in a concentrated salt…

Mathematics

• The imaginary part of ( 3 + 2√(- 54) )^(1/2) - ( 3 - 2√(- 54) )^(1/2) can be :
• A plane passing through the point (3, 1, 1) contains two lines whose direction ratios…
• The equation of the normal to the curve y = (1+x)²ʸ + cos ²(sin –1 x) at x = 0 is :
• Let E C denote the complement of an event E. Let E₁ , E₂ and E₃ be any pairwise…
• lim _(x → 0) ( tan ( π/4 + x ) )^(1/x) is equal to :
• Consider a region R = (x, y) ∈ R : x² ≤ y ≤ 2x. if a line y = α divides the area of…
• Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along…
• Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of…
• The set of all possible values of θ in the interval (0, π) for which the points (1, 2)…
• If a curve y = f(x), passing through the point (1, 2), is the solution of the…
• If the sum of first 11 terms of an A.P., a₁, a₂, a₃, .... is 0 (a ≠ 0), then the sum of…
• Let S be the sum of the first 9 terms of the series : x + ka + x² + (k + 2)a + x³ + (k +…
• The area (in sq. units) of an equilateral triangle inscribed in the parabola y² = 8x…
• For some θ ∈ ( 0,π/2 ), if the eccentricity of the hyperbola, x²–y²sec²θ = 10 is √5…
• Let f : (–1, ∞) → R be defined by f(0) = 1 and f(x) = 1/xlog ₑ( 1 + x ), x ≠ 0. Then the…
• For a positive integer n, ( 1 + 1/x )ⁿ is expanded in increasing powers of x. If three…
• If the equation cos⁴ θ + sin⁴ θ + λ = 0 has real solutions for θ, then λ lies in the…
• Let f : R → R be a function which satisfies f(x + y) = f(x) + f(y) ∀ x, y ∈ R. If f(1) =…
• Let a, b, c ∈ R be all non-zero and satisfy a³ + b³ + c³ = 2. If the matrix A = ( a, b…
• If y = Σₖ₌₁⁶ kcos ⁻¹{ 3/5 cos kx - 4/5 sin kx } , then dy/dx at x = 0 is _______.
• Let [t] denote the greatest integer less than or equal to t. Then the value of ∫₁² | 2x…
• Let A = X = (x, y, z) T : PX = 0 and x² + y² + z² = 1 where P = [ 1, 2, 1; - 2, 3, - 4…
• If the variance of the terms in an increasing A.P., b₁ , b₂ , b₃ ,....,b₁₁ is 90, then…

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