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

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Physics

• Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart…
• If speed V, area A and force F are chosen as fundamental units, then the dimension of…
• Two identical strings X and Z made of same material have tension T X and T Z in them. If…
• Train A and train B are running on parallel tracks in the opposite directions with…
• A 5 μF capacitor is charged fully by a 220 V supply. It is then disconnected from the…
• In a reactor, 2 kg of ₉₂U²³⁵ fuel is fully used up in 30 days. The energy released per…
• A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an…
• Consider four conducting materials copper, tungsten, mercury and aluminium with…
• The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is…
• A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T…
• A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a <…
• A plane electromagnetic wave, has frequency of 2.0 × 10¹⁰ Hz and its energy density is…
• A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0 × 10 –5 T…
• Shown in the figure is rigid and uniform one meter long rod AB held in horizontal…
• An engine takes in 5 moles of air at 20ᵒC and 1 atm, and compresses it adiabatically to…
• Magnetic materials used for making permanent magnets (P) and magnets in a transformer…
• A particle of mass m with an initial velocity uî collides perfectly elastically with a…
• A charged particle (mass m and charge q) moves along X-axis with velocity V₀. When it…
• A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y =…
• When radiation of wavelength λ is used to illuminate a metallic surface, the stopping…
• A beam of protons with speed 4 × 10⁵ ms –1 enters a uniform magnetic field of 0.3 T at…
• A cylindrical vessel containing a liquid is rotated about its axis so that the liquid…
• A small block starts slipping down from a point B on an inclined plane AB, which is…

Chemistry

• The IUPAC name for the following compound is
• Which of the following is used for the preparation of colloids?
• The internal energy change (in J) When 90 g of water undergoes complete evaporation at…
• If AB₄ molecule is a polar molecule, a possible geometry of AB₄ is
• The mass of gas adsorbed, x, per unit mass of adsorbate, m, was measured at various…
• Which of the following compunds will show retention in configuration on nucleophilic…
• For the following Assertion and Reason , the correct option is Assertion (A): When Cu…
• For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following…
• The metal mainly used in devising photoelectric cells is :
• The Gibbs change (in J) for the given reaction at [Cu²⁺] = [Sn²⁺] = 1 M and 298K is…
• The increasing order of the following compounds towards HCN addition is :
• On heating compound (A) gives a gas (B) which is a constituent of air. This gas when…
• The major aromatic product C in the following reaction sequence will be :
• The number of chiral carbons present in the molecule given below is _____ .
• Consider that a d⁶ metal ion (M²⁺) forms a complex with aqua ligands, and the spin only…
• The figure that is not a direct manifestation of the quantum nature of atoms is :
• While titrating dilute HCl solution with aqueous NaOH, which of the following will not…
• The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are x, y…
• An open beaker of water in equilibrium with water vapour is in a sealed container. When…
• In Carius method of estimation of halogen, 0.172 g of an organic compound showed…
• In general the property (magnitudes only) that show an opposite trend in comparison to…

Mathematics

• Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50…
• Let α > 0, β > 0 be such that α³ + β² = 4. If the maximum value of the term independent…
• Let A be a 2 × 2 real matrix with entries from 0, 1 and |A| ≠ 0. Consider the following…
• If lim _(x → 1) (x + x² + x³ + ... + xⁿ - n)/(x - 1) = 820, (n ∈ N) then the value of n…
• Let α and β be the roots of the equation 5x² + 6x – 2 = 0. If Sₙ = αⁿ + βⁿ, n = 1, 2…
• Let y = y(x) be the solution of the differential equation, (2 + sin x)/(y + 1).dy/dx = -…
• Let S be the set of all λ ∈ R for which the system of linear equations 2x – y + 2z = 2 x…
• If R = (x, y) : x, y ∈ Z, x² + 3y² ≤ 8 is a relation on the set of integers Z, then the…
• The number of integral values of k for which the line, 3x + 4y = k intersects the…
• The sum of the first three terms of a G.P. is S and their product is 27. Then all such S…
• A line parallel to the straight line 2x – y = 0 is tangent to the hyperbola x²/4 - y²/2…
• If the letters of the word 'MOTHER' be permuted and all the words so formed (with or…
• Let P(h, k) be a point on the curve y = x² + 7x + 2, nearest to the line, y = 3x – 3…
• The value of ( (1 + sin 2π/9 + i cos 2π/9)/(1 + sin 2π/9 - i cos 2π/9) )³ is :
• The domain of the function f(x) = sin ⁻¹( (| x | + 5)/(x² + 1) ) is (– ∞, -a]∪[a, ∞)…
• If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a…
• If |x| < 1, |y| < 1 and x ≠ y, then the sum to infinity of the following series (x + y)…
• Let a⃗, b⃗ and c⃗ be three unit vectors such that | a⃗ - b⃗ |² + | a⃗ - c⃗ |² = 8. Then…
• Area (in sq. units) of the region outside |x|/2+|y|/3=1 and inside the ellipse…
• Let X = x ∈ N : 1 ≤ x ≤ 17 and Y = ax + b: x ∈ X and a, b ∈ R, a > 0. If mean and…
• If a function f(x) defined by f( x ) = { aeˣ + be⁻ˣ,, - 1 ≤ x < 1; cx²,, 1 ≤ x ≤ 3; ax²…
• If the tangent to the curve y = x + sin y at a point (a, b) is parallel to the line…
• The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x =…

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