JEE Main 2022 (Online) 25th June Evening Shift — Question Paper

Download this paper as a PDF (17 pages, with answer key)

Physics

• The ratio of specific heats ( C_P/C_V ) in terms of degree of freedom (f) is given by :
• A curved in a level road has a radius 75 m. The maximum speed of a car turning this…
• A copper block of mass 5.0 kg is heated to a temperature of 500°C and is placed on a…
• Given below are two statements : Statement I : Susceptibilities of paramagnetic and…
• A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in…
• The length of a given cylindrical wire is increased to double of its original length…
• For z=a²x³y^(1/2), where 'a' is a constant. If percentage error in measurement of 'x'…
• A light whose electric field vectors are completely removed by using a good polaroid…
• Given below are two statements. One is labelled as Assertion A and the other is labelled…
• A proton, a neutron, an electron and an α particle have same energy. If λₚ, λₙ, λₑ and…
• Two satellites S₁ and S₂ are revolving in circular orbits around a planet with radius R₁…
• If n represents the actual number of deflections in a converted galvanometer of…
• A disc with a flat small bottom beaker placed on it at a distance R from its center is…
• Two cells of same emf but different internal resistances r₁ and r₂ are connected in…
• Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as…
• Identify the logic operation performed by the given circuit:
• The interference pattern is obtained with two coherent light sources of intensity ratio…
• For a particle in uniform circular motion, the acceleration a⃗ at any point P(R, θ) on…
• Which of the following figure represents the variation of lₙ( R/R₀ ) with lₙA (if R =…
• In an experiment of CE configuration of n-p-n transistor, the transfer characteristics…
• 27 identical drops are charged at 22V each. They combine to form a bigger drop. The…
• Two metallic plates form a parallel plate capacitor. The distance between the plates is…
• A block of mass 200 g is kept stationary on a smooth inclined plane by applying a…
• A solid metallic cube having total surface area 24 m² is uniformly heated. If its…
• In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C =…
• A long solenoid carrying a current produces a magnetic field B along its axis. If the…
• The electromagnetic waves travel in a medium at a speed of 2.0 × 10⁸ m/s. The relative…
• When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its…
• Two buses P and Q start from a point at the same time and move in a straight line and…

Chemistry

• The metal ion (in gaseous state) with lowest spin-only magnetic moment value is :
• Given below are two statements. Statement I : During electrolytic refining, blister…
• Given below are two statements : one is labelled as Assertion A and the other is…
• The correct order of electron gain enthalpies of Cl, F, Te and Po is
• How many of the given compounds will give a positive Biuret test ____________ ? Glycine…
• Match List I with List II List - I | List -II; A. | Zymase | I. | Stomach; B. | Diastase…
• The Novolac polymer has mass of 963 g. The number of monomer units present in it are
• The minimum energy that must be possessed by photons in order to produce the…
• The correct order of reduction potentials of the following pairs is A. Cl₂/Cl⁻ B. I²/I⁻…
• A solution of Fe₂(SO₄)₃ is electrolyzed for 'x' min with a current of 1.5 A to deposit…
• A protein 'A' contains 0.30% of glycine (molecular weight 75). The minimum molar mass of…
• At 25°C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g)…
• Which of the following ketone will NOT give enamine on treatment with secondary amines?…
• Amongst BeF₂, BF₃, H₂O, NH₃, CCl₄ and HCl, the number of molecules with non-zero net…
• The Kₛₚ for bismuth sulphide (Bi₂S₃) is 1.08 × 10⁻⁷³. The solubility of Bi₂S₃ in mol L⁻¹…
• At 345 K, the half life for the decomposition of a sample of a gaseous compound…
• Amongst FeCl₃.3H₂O, K₃[Fe(CN)₆] and [Co(NH₃)₆]Cl₃, the spin-only magnetic moment value…
• Given below are two statements one is labelled as Assertion A and the other is labelled…
• Amongst the following, the major product of the given chemical reaction is
• An antiseptic dettol is a mixture of two compounds 'A' and 'B' where A has 6π electrons…
• Which of the following conditions or reaction sequence will NOT give acetophenone as the…
• Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it…
• The number of bridged oxygen atoms present in compound B formed from the following…
• Consider the following reactions: PCl₃ + H₂O → A + HCl A + H₂O → B + HCl The number of…
• During halogen test, sodium fusion extract is boiled with concentrated HNO₃ to
• The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of…

Mathematics

• Let A = ( 2, - 2; 1, - 1 ) and B = ( - 1, 2; - 1, 2 ). Then the number of elements in…
• Water is being filled at the rate of 1 cm³ / sec in a right circular conical vessel…
• If the angle made by the tangent at the point (x₀, y₀) on the curve x = 12(t + sin t cos…
• If the sum of the co-efficient of all the positive even powers of x in the binomial…
• Let the eccentricity of the hyperbola x²/a² - y²/b² = 1 be 5/4. If the equation of the…
• If y = y(x) is the solution of the differential equation 2x²dy/dx - 2xy + 3y² = 0 such…
• The value of tan ⁻¹( (cos ( 15π/4 ) - 1)/(sin ( π/4 )) ) is equal to :
• The total number of three-digit numbers, with one digit repeated exactly two times, is…
• Let l₁ be the line in xy-plane with x and y intercepts 1/8 and 1/4√2 respectively, and…
• If the mean deviation about the mean of the numbers 1, 2, 3, .........., n, where n is…
• Let p be the plane passing through the intersection of the planes r⃗ . ( î + 3ĵ - k̂ ) =…
• The sum 1 + 2 . 3 + 3 . 3² + ......... + 10 . 3⁹ is equal to :
• Let b⃗ = î + ĵ + λ k̂, λ ∈ R. If a⃗ is a vector such that a⃗ × b⃗ = 13î - ĵ - 4k̂ and a⃗…
• The line y = x + 1 meets the ellipse x²/4 + y²/2 = 1 at two points P and Q. If r is the…
• A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is :
• Let a, b ∈ R be such that the equation ax² - 2bx + 15 = 0 has a repeated root α. If α…
• The value of 2sin (12°) - sin (72°) is :
• The value of b > 3 for which 12∫₃ᵇ 1/(x² - 1)(x² - 4)dx = log ₑ( 49/40 ) , is equal to…
• If bₙ = ∫₀^(π/2) (cos ²nx)/(sin x)dx, n ∈ N, then
• The area of the region enclosed between the parabolas y² = 2x - 1 and y² = 4x - 3 is
• lim _(x → π/2) ( tan ²x( (2sin ²x + 3 sin x + 4)^(1/2) - (sin ²x + 6 sin x + 2)^(1/2) )…
• Let A = { x ∈ R:|x + 1| < 2} and B = { x ∈ R:|x - 1| ≥ 2}. Then which one of the…
• Let f(x) = |(x - 1)(x² - 2x - 3)| + x - 3, x ∈ R. If m and M are respectively the number…
• If the line y = 4 + kx, k > 0, is the tangent to the parabola y = x - x² at the point P…
• Let z₁ and z₂ be two complex numbers such that z̅ ₁ = iz̅ ₂ and arg ( z₁/(z̅ ₂) ) = π…
• The coefficient of x¹⁰¹ in the expression (5 + x)⁵⁰⁰ + x(5 + x)⁴⁹⁹ + x²(5 + x)⁴⁹⁸ +…
• A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability…
• The system of equations - kx + 3y - 14z = 25 - 15x + 4y - kz = 3 - 4x + y + 3z = 4 is…
• Let f(x) = [ 2x² + 1 ] and g(x) = { 2x - 3,, x < 0; 2x + 3,, x ≥ 0 , where [t] is the…

Download all JEE Main 2022 PYQs chapter-wise as free PDFs