JEE Main 2022 (Online) 27th July Evening Shift — Question Paper

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

Physics

• A solid cylinder length is suspended symmetrically through two massless strings, as…
• As show in the figure, in steady state, the charge stored in the capacitor is…
• The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block…
• A thin prism of angle 6° and refractive index for yellow light (n_Y) 1.5 is combined…
• With reference to the observations in photo-electric effect, identify the correct…
• A cyclotron is used to accelerate protons. If the operating magnetic field is 1.0 T and…
• A steel wire of length 3.2 m(Yₛ=2.0 × 10¹¹ Nm⁻²) and a copper wire of length 4.4…
• In 1ˢᵗ case, Carnot engine operates between temperatures 300 K and 100 K. In 2ⁿᵈ case…
• A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of…
• Identify the correct statements from the following descriptions of various properties of…
• A body of mass 10 kg is projected at an angle of 45° with the horizontal. The trajectory…
• A wire of length 30 cm, stretched between rigid supports, has it's nᵗʰ and (n + 1)ᵗʰ…
• For a constant collector-emitter voltage of 8 V, the collector current of a transistor…
• In the given figure of meter bridge experiment, the balancing length AC corresponding to…
• Two inclined planes are placed as shown in figure. A block is projected from the Point A…
• An expression of energy density is given by u=α/β sin ((α x)/kt), where α,β are…
• A block 'A' takes 2 s to slide down a frictionless incline of 30° and length 'l', kept…
• Two coherent sources of light interfere. The intensity ratio of two sources is 1: 4. For…
• A charge of 4 μ C is to be divided into two. The distance between the two divided…
• (A) The drift velocity of electrons decreases with the increase in the temperature of…
• A body of mass m is projected with velocity λ vₑ in vertically upward direction from the…
• Which statements are correct about degrees of freedom ? (A) A molecule with n degrees of…
• A series LCR circuit has L=0.01 H, R=10 Ω and C=1 μ F and it is connected to ac voltage…
• A block of mass M slides down on a rough inclined plane with constant velocity. The…
• A compass needle of oscillation magnetometer oscillates 20 times per minute at a place P…
• A parallel plate capacitor with width 4 cm, length 8 cm and separation between the…
• In an experiment to determine the Young's modulus, steel wires of five different lengths…
• A conducting circular loop is placed in X-Y plane in presence of magnetic field B⃗=(3 t³…
• The activity of a radioactive material is 6.4 × 10⁻⁴ curie. Its half life is 5 days. The…

Chemistry

• [A], →, [B]; Reactant, Product If formation of compound [B] follows the first order of…
• Low oxidation state of metals in their complexes are common when ligands :
• Fe³⁺ cation gives a prussian blue precipitate on addition of potassium ferrocyanide…
• Match List - I with List - II. List - I (Polymer) | List - II (Monomer); (A) | Neoprene…
• An organic compound 'A' contains nitrogen and chlorine. It dissolves readily in water to…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Match List - I with Match List - II. List - I | List - II; (A) | Glucose + HI | (I) |…
• The correct decreasing order of energy for the orbitals having, following set of quantum…
• In the above reaction, 5 g of toluene is converted into benzaldehyde with 92% yield. The…
• The plot of pH-metric titration of weak base NH₄ OH vs strong acid HCl looks like :
• Match List - I with List - II. List - I (Mixture) | List - II (Purification Process)…
• The spin only magnetic moment of the complex present in Fehling's reagent is __________…
• Outermost electronic configurations of four elements A, B, C, D are given below : (A) 3…
• In neutral or alkaline solution, MnO₄⁻ oxidises thiosulphate to :
• The oxidation state of manganese in the product obtained in a reaction of potassium…
• Among the following ores Bauxite, Siderite, Cuprite, Calamine, Haematite, Kaolinite…
• The number of molecule(s) or ion(s) from the following having non-planar structure is…
• The normality of H₂ SO₄ in the solution obtained on mixing 100 mL of 0.1 M H₂ SO₄ with…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• When a certain amount of solid A is dissolved in 100 g of water at 25° C to make a…
• Match List - I with List - II. List - I | List - II; (A) | ψ_(MO)=ψ_A-ψ_B | (I) | Dipole…
• An element A of group 1 shows similarity to an element B belonging to group 2. If A has…
• Given below are two statements : Statement I : For KI, molar conductivity increases…
• Which of the following enhances the lathering property of soap?
• A gas (Molar mass = 280 g mol⁻¹) was burnt in excess O₂ in a constant volume calorimeter…

Mathematics

• (2³-1³)/(1 × 7)+(4³-3³+2³-1³)/(2 × 11)+(6³-5³+4³-3³+2³-1³)/(3 × 15)+…+…
• If the length of the perpendicular drawn from the point P(a, 4,2), a >0 on the line…
• The area of the region enclosed by y≤ 4x²,x²≤ 9y and y≤ 4, is equal to :
• Let f be a differentiable function satisfying f(x)=2/√3 ∫₀^(√3) f((λ² x)/3) d λ, x>0 and…
• Let for the 9ᵗʰ term in the binomial expansion of (3+6 x)ⁿ, in the increasing powers of…
• A common tangent T to the curves C₁: x²/4+y²/9=1 and C₂: x²/42-y²/143=1 does not pass…
• Let f(x)=min {[x-1],[x-2], …,[x-10]} where [t] denotes the greatest integer ≤ t. Then…
• Let f(x)=2+|x|-|x-1|+|x+1|, x ∈ R. Consider (S 1): f′(-3/2)+f′(-1/2)+f′(1/2)+f′(3/2)=2…
• Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5…
• The equations of the sides AB,BC and CA of a triangle ABC are 2x+y=0,x+py=39 and x-y=3…
• For the curve C:(x²+y²-3)+(x²-y²-1)⁵=0, the value of 3 y′-y³ y^(′ ′), at the point (α…
• If α, β are the roots of the equation x²-(5+3^(√(log ₃ 5))-5^(√(log ₅ 3)))x+3(3^((log ₃…
• Consider a curve y=y(x) in the first quadrant as shown in the figure. Let the area A₁ is…
• The number of functions f, from the set A={x ∈ N: x²-10 x+9 ≤ 0} to the set B={n²: n ∈…
• A six faced die is biased such that 3 × P(a prime number) =6 × P(a composite number) =2…
• Let S be the set of all (α, β), π<α, β<2 π, for which the complex number (1-i sin…
• If for p ≠ q ≠ 0, the function f(x)=(⁷√p(729+x)-3)/(∛(729+q x)-9) is continuous at x=0…
• Let A=(4, -2; α, β). If A²+γ A+18 I=O, then det(A) is equal to _____________.
• Let S={θ ∈(0, π/2): Σₘ₌₁⁹ sec (θ+(m-1) π/6) sec (θ+(m π)/6)=-8/√3}. Then
• Let a⃗, b⃗, c⃗ be three non-coplanar vectors such that a⃗ × b⃗ = 4c⃗, b⃗ × c⃗ = 9a⃗ and…
• A circle C₁ passes through the origin O and has diameter 4 on the positive x-axis. The…
• If the line of intersection of the planes a x+b y=3 and a x+b y+c z=0, a >0 makes an…
• A water tank has the shape of a right circular cone with axis vertical and vertex…
• If the length of the latus rectum of a parabola, whose focus is (a, a) and the tangent…
• Let X have a binomial distribution B(n, p) such that the sum and the product of the mean…
• ∫₀²(|2 x²-3 x|+[x-1/2]) d x, where [t] is the greatest integer function, is equal to :
• The domain of the function f(x)=sin ⁻¹[2 x²-3]+log ₂(log _(1/2)(x²-5 x+5)), where [t] is…
• Consider a matrix A=[α, β, γ; α², β², γ²; β+γ, γ+α, α+β], where α, β, γ are three…

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