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JEE Main 2020 2 Sep Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20202 Sep, Morning shift

Physics 17Chemistry 12Mathematics 25

Physics

Q40A 5 μ F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5 μ F…Electrostatics
Q44When radiation of wavelength λ is used to illuminate a metallic surface, the stopping potential is V. When the same surface is illuminated with radiation of…Dual Nature of Matter and Radiation
Q45A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0 × 10^–5 T with its plane perpendicular to the field initially. It is rotated at…Electromagnetic Induction and Alternating Currents
Q48An engine takes in 5 moles of air at 20^(o)C and 1 atm, and compresses it adiabatically to 1/10^(t)h of the original volume. Assuming air to be a diatomic…Thermodynamics
Q6047In a reactor, 2 kg of ₉₂U²³⁵ fuel is fully used up in 30 days. The energy released per fission is 200 MeV. Given that the Avogadro number, N = 6.023 × 10²⁶…Atoms and Nuclei
Q6222A particle of mass m with an initial velocity u i collides perfectly elastically with a mass 3 m at rest. It moves with a velocity v j after collision, then…Rotational Motion
Q6350An amplitude modulated wave is represented by the expression v m = 5(1 + 0.6 cos 6280t) sin(211 × 10⁴ t) volts The minimum and maximum amplitudes of the…Communication Systems
Q6515Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity ρ C, ρ T, ρ M and ρ A respectively. Then:Current Electricity
Q6765A plane electromagnetic wave, has frequency of 2.0 × 10¹⁰ Hz and its energy density is 1.02 × 10^–8 J/m³ in vacuum. The amplitude of the magnetic field of the…Electromagnetic Waves
Q7192The mass density of a spherical galaxy varies as K/r over a large distance ‘r’ from its centre. In that region, a small star is in a circular orbit of radius…Gravitation
Q7298A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the total…Thermodynamics
Q7751A beam of protons with speed 4 × 10⁵ ms^–1 enters a uniform magnetic field of 0.3 T at an angle of 60° to the magnetic field. The pitch of the resulting…Magnetic Effects of Current and Magnetism
Q7874Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour, respectively. A person is walking in…Kinematics
Q8238If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will beUnits and Measurements
Q8353The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coincide with 9 divisions of the main…Experimental Skills
Q8429Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source (λ = 632.8 nm). The distance between the screen…Optics
Q8498Two identical strings X and Z made of same material have tension T X and T Z in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively…Oscillations and Waves

Chemistry

Q3The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are x, y and z. The sum of x, y and z is _ _ _ _. Na₄[Fe(CN)₅(NOS)] (A)…Coordination Compounds
Q6The Gibbs change (in J) for the given reaction at [Cu²⁺] = [Sn²⁺] = 1 M and 298K is: Cu(s) + Sn²⁺(aq.) → Cu²⁺(aq.) + Sn(s); (E_ S n²⁺ |Sn ⁰ = - 0.16 V, E_ C…Redox Reactions and Electrochemistry
Q297If AB₄ molecule is a polar molecule, a possible geometry of AB₄ isChemical Bonding and Molecular Structure
Q418An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added to the beaker of water, the rate at…Equilibrium
Q621Consider that a d⁶ metal ion (M²⁺) forms a complex with aqua ligands, and the spin only magnetic moment of the complex is 4.90 BM. The geometry and the…Coordination Compounds
Q725For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following statements: (I) both the complexes can be high spin. (II) Ni(II) complex can…Coordination Compounds
Q1025The statement that is not true about ozone is:Environmental Chemistry
Q1340For the following Assertion and Reason, the correct option is Assertion (A): When Cu (II) and sulphide ions are mixed, they react together extremely quickly…Equilibrium
Q1590In general the property (magnitudes only) that show an opposite trend in comparison to other properties across a period isClassification of Elements and Periodicity in Properties
Q1811While titrating dilute HCl solution with aqueous NaOH, which of the following will not be required?Redox Reactions and Electrochemistry
Q1851The metal mainly used in devising photoelectric cells is:S Block Elements
Q2251Which of the following is used for the preparation of colloids?Surface Chemistry

Mathematics

Q20The number of integral values of k for which the line, 3x + 4y = k intersects the circle, x² + y² – 2x – 4y + 4 = 0 at two distinct points is _ _ _.Coordinate Geometry
Q22The integral ∫₀² | | x - 1 | - x |dx is equal to _ _ _.Integral Calculus
Q27If lim x → 1 (x + x² + x³ +... + xⁿ - n)/(x - 1) = 820, (n N) then the value of n is equal to _ _ _ _.Limit, Continuity and Differentiability
Q31If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the…Permutations and Combinations
Q38Let a, b and c be three unit vectors such that | a - b |² + | a - c |² = 8. Then | a + 2 b |² + | a + 2 c |² is equal to _ _ _.Vector Algebra
Q2424The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x = 3y, z = 1 also passes through the point:Three Dimensional Geometry
Q2651If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0) is equal to:Limit, Continuity and Differentiability
Q2775If the tangent to the curve y = x + sin y at a point (a, b) is parallel to the line joining (0,3/2) and (1/2,2), then:Limit, Continuity and Differentiability
Q2776Let P(h, k) be a point on the curve y = x² + 7x + 2, nearest to the line, y = 3x – 3. Then the equation of the normal to the curve at P is:Limit, Continuity and Differentiability
Q2831Area (in sq. units) of the region outside (| x |)/2 + (| y |)/3 = 1 and inside the ellipse (x²)/4 + (y²)/9 = 1 is:Integral Calculus
Q2925Let α > 0, β > 0 be such that α ³ + β ² = 4. If the maximum value of the term independent of x in the binomial expansion of (α x^(1/9) + β x^(- 1/6))¹⁰ is…Binomial Theorem and Its Simple Applications
Q3241The value of ((1 + sin (2π)/9 + i cos (2π)/9)/(1 + sin (2π)/9 - i cos (2π)/9))³ is:Complex Numbers and Quadratic Equations
Q3524Let y = y(x) be the solution of the differential equation, (2 + sin x)/(y + 1).dy/dx = - cos x, y > 0,y(0) = 1. If y(π) = a and dy/dx at x = π is b, then the…Differential Equations
Q3988A line parallel to the straight line 2x – y = 0 is tangent to the hyperbola (x²)/4 - (y²)/2 = 1 at the point (x₁,y₁). Then x₁² + 5y₁² is equal to:Coordinate Geometry
Q4059The domain of the function f(x) = sin ⁻¹((| x | + 5)/(x² + 1)) is (– ∞, -a] [a, ∞). Then a is equal to:Trigonometry
Q4139If a function f(x) defined by f(x) = \ a eˣ + b e⁻ˣ, - 1 ≤ x < 1 c x², 1 ≤ x ≤ 3 a x² + 2cx, 3 < x ≤ 4. be continuous for some a, b, c R and f'(0) + f'(2) =…Limit, Continuity and Differentiability
Q4414The contrapositive of the statement "If I reach the station in time, then I will catch the train" is:Mathematical Reasoning
Q4581Let S be the set of all λ R for which the system of linear equations 2x – y + 2z = 2 x – 2y + λ z = –4 x + λ y + z = 4 has no solution. Then the set S:Matrices and Determinants
Q4653Let A be a 2 × 2 real matrix with entries from 0, 1 and |A| ≠ 0. Consider the following two statements: (P) If A ≠ I₂, then |A| = –1 (Q) If |A| = 1, then…Matrices and Determinants
Q4858Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number…Statistics and Probability
Q5143Let α and β be the roots of the equation 5x² + 6x – 2 = 0. If S n = α ⁿ + β ⁿ, n = 1, 2, 3...., then:Complex Numbers and Quadratic Equations
Q5258The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in:Sequence and Series
Q5317If |x| < 1, |y| < 1 and x ≠ y, then the sum to infinity of the following series (x + y) + (x²+xy+y²) + (x³+x²y + xy²+y³) +....Sequence and Series
Q5357If R = (x, y): x, y Z, x² + 3y² ≤ 8 is a relation on the set of integers Z, then the domain of R^–1 is:Sets, Relations and Functions
Q5451Let X = x N: 1 ≤ x ≤ 17 and Y = ax + b: x X and a, b R, a > 0. If mean and variance of elements of Y are 17 and 216 respectively then a + b is equal to:Statistics and Probability