JEE Main 2022 (Online) 24th June Morning Shift — Question Paper

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Physics

• Given below are two statements : One is labelled as Assertion (A) and the other is…
• Identify the pair of physical quantities which have different dimensions:
• A resistance of 40 Ω is connected to a source of alternating current rated 220 V, 50 Hz…
• Two metallic blocks M₁ and M₂ of same area of cross-section are connected to each other…
• A vertical electric field of magnitude 4.9 × 10⁵ N/C just prevents a water droplet of a…
• A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10…
• A plane electromagnetic wave travels in a medium of relative permeability 1.61 and…
• Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It…
• A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in…
• A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top…
• A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10…
• The approximate height from the surface of earth at which the weight of the body becomes…
• Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in…
• A parallel plate capacitor is formed by two plates each of area 30π cm² separated by 1…
• A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms⁻¹…
• In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire…
• When light of frequency twice the threshold frequency is incident on the metal plate…
• A projectile is projected with velocity of 25 m/s at an angle θ with the horizontal…
• A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees…
• 0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127°C. Th amount of…
• Two identical cells each of emf 1.5 V are connected in parallel across a parallel…
• The magnetic field at the centre of a circular coil of radius r, due to current I…
• As shown in the figure an inductor of inductance 200 mH is connected to an AC source of…
• From the top of a tower, a ball is thrown vertically upward which reaches the ground in…
• The bulk modulus of a liquid is 3 × 10¹⁰ Nm⁻². The pressure required to reduce the…
• Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single…
• The equations of two waves are given by : y₁ = 5 sin 2π(x - vt) cm y₂ = 3 sin 2π(x - vt…
• A particle experiences a variable force F⃗ = ( 4xî + 3y²ĵ ) in a horizontal x-y plane…
• Choose the correct option from the following options given below :

Chemistry

• For a reaction at equilibrium A(g) ⇌ B(g) + 1/2 C(g) the relation between dissociation…
• Which of the following statements are correct? (A) Both LiCl and MgCl₂ are soluble in…
• Given below are the oxides: Na₂O, As₂O₃, N₂O, NO and Cl₂O₇ Number of amphoteric oxides…
• Two statements are given below : Statement I : The melting point of monocarboxylic acid…
• The major product of the above reactions is :
• Which of the following is an example of conjugated diketone?
• Which of the following is not a broad spectrum antibiotic?
• 2O₃(g) ⇌ 3O₂(g) At 300 K, ozone is fifty percent dissociated. The standard free energy…
• Which of the following is an example of polyester?
• The highest industrial consumption of molecular hydrogen is to produce compounds of…
• Which one of the following elemental forms is not present in the enamel of the teeth?
• Match List - I with List - II : List - I | List -II; (A) | Sphalerite | (I) | FeCO₃; (B)…
• In the cobalt-carbonyl complex : [Co₂(CO)₈], number of Co-Co bonds is "X" and terminal…
• Identify the correct statement for B₂H₆ from those given below : (A) In B₂H₆, all B-H…
• Consider the following pairs of electrons (A) (a) n = 3, l = 1, m₁ = 1, mₛ = + 1/2 (b) n…
• Given below are two statements : Statement I : Emulsions of oil in water are unstable…
• The cell potential for the following cell Pt |H₂(g)|H⁺ (aq)|| Cu²⁺ (0.01 M)|Cu(s) is…
• The difference in oxidation state of chromium in chromate and dichromate salts is…
• During the qualitative analysis of salt with cation y²⁺, addition of a reagent (X) to…
• The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient…
• Atoms of element X form hcp lattice and those of element Y occupy 2/3 of its tetrahedral…
• Match List - I with List - II : List - I | List -II; (A) | [PtCl₄]²⁻ | (I) | sp³d; (B) |…
• A 0.166 g sample of an organic compound was digested with conc. H₂SO₄ and then distilled…
• Number of electrophilic centres in the given compound is _______________.
• If a rocket runs on a fuel (C₁₅H₃₀) and liquid oxygen, the weight of oxygen required and…
• A polysaccharide 'X' on boiling with dil H₂SO₄ at 393 K under 2-3 atm pressure yields…
• The rate constants for decomposition of acetaldehyde have been measured over the…
• The most stable trihalide of nitrogen is :

Mathematics

• If the shortest distance between the lines r⃗ = ( - î + 3k̂ ) + λ ( î - aĵ ) and r⃗ = (…
• The domain of the function f(x) = (cos ⁻¹( (x² - 5x + 6)/(x² - 9) ))/(log ₑ(x² - 3x +…
• The number of values of α for which the system of equations : x + y + z = α αx + 2αy +…
• Let x² + y² + Ax + By + C = 0 be a circle passing through (0, 6) and touching the…
• Let S = √n : 1 ≤ n ≤ 50 and n is odd. Let a ∈ S and A = [ 1, 0, a; - 1, 1, 0; - a, 0, 1…
• Let λ x - 2y = μ be a tangent to the hyperbola a²x² - y² = b². Then ( λ/a )² - ( μ/b )²…
• Let Max_(0 ≤ x ≤ 2) { (9 - x²)/(5 - x) } = α and Min_(0 ≤ x ≤ 2) { (9 - x²)/(5 - x) } =…
• If the sum of the squares of the reciprocals of the roots α and β of the equation 3x² +…
• The number of one-one functions f : a, b, c, d → 0, 1, 2, ......, 10 such that 2f(a) -…
• If x = x(y) is the solution of the differential equation ydx/dy = 2x + y³(y + 1)eʸ, x(1)…
• Let f(θ ) = sin θ + ∫_(- π /2)^(π /2) (sin θ + t cos θ )f(t)dt . Then the value of |…
• The sum of absolute maximum and absolute minimum values of the function f(x) = |2x² + 3x…
• The number of points where the function f(x) = { |2x² - 3x - 7|, if, x ≤ - 1; [4x² - 1]…
• For the function f(x) = 4log ₑ(x - 1) - 2x² + 4x + 5, x > 1, which one of the following…
• Let A = { z ∈ C:1 ≤ |z - (1 + i)| ≤ 2} and B = { z ∈ A:|z - (1 - i)| = 1}. Then, B :
• Let a line having direction ratios, 1, -4, 2 intersect the lines (x - 7)/3 = (y - 1)/(-…
• Let A(3/√a,√a), a>0, be a fixed point in the xy-plane. The image of A in y-axis be B and…
• If a random variable X follows the Binomial distribution B(33, p) such that 3P(X = 0) =…
• Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n…
• In an examination, there are 5 multiple choice questions with 3 choices, out of which…
• Let a, b be unit vectors. If c⃗ be a vector such that the angle between a and c⃗ is…
• Let S be the region bounded by the curves y = x³ and y² = x. The curve y = 2|x| divides…
• If the tangent at the point (x₁, y₁) on the curve y = x³ + 3x² + 5 passes through the…
• The remainder when 3²⁰²² is divided by 5 is :
• Let S = { θ ∈ [ - π ,π ] - { ± π/2 }:sin θ tan θ + tan θ = sin 2θ }. If T = Σ_(θ ∈ S)…
• If { aᵢ} ᵢ₌₁ⁿ, where n is an even integer, is an arithmetic progression with common…
• The set of all values of k for which (tan ⁻¹x)³ + (cot ⁻¹x)³ = kπ ³, x ∈ R, is the…
• If two tangents drawn from a point (α, β) lying on the ellipse 25x² + 4y² = 1 to the…
• The surface area of a balloon of spherical shape being inflated, increases at a constant…

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