JEE Main 2022 (Online) 26th June Morning Shift — Question Paper

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Physics

• An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in…
• Given below two statements : One is labelled as Assertion (A) and other is labelled as…
• A proton and an alpha particle of the same velocity enter in a uniform magnetic field…
• An ideal fluid of density 800 kgm⁻³, flows smoothly through a bent pipe (as shown in…
• A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of…
• A person is standing in an elevator. In which situation, he experiences weight loss?
• The elastic behaviour of material for linear stress and linear strain, is shown in the…
• A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms⁻¹…
• The elongation of a wire on the surface of the earth is 10⁻⁴ m. The same wire of same…
• An object is thrown vertically upwards. At its maximum height, which of the following…
• The variation of acceleration due to gravity (g) with distance (r) from the center of…
• If Electric field intensity of a uniform plane electromagnetic wave is given as E = -…
• A 10 Ω, 20 mH coil carrying constant current is connected to a battery of 20 V through a…
• A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the…
• A light ray is incident, at an incident angle θ₁, on the system of tow plane mirrors M₁…
• In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an…
• A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current…
• The magnetic flux through a coil perpendicular to its plane is varying according to the…
• The efficiency of a Carnot's engine, working between steam point and ice point, will be :
• A thin circular ring of mass M and radius R is rotating with a constant angular velocity…
• How many alpha and beta particles are emitted when Uranium ₉₂U²³⁸ decays to lead ₈₂Pb²⁰⁶ ?
• In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If…
• A ball is released from rest from point P of a smooth semi-spherical vessel as shown in…
• An electron with speed v and a photon with speed c have the same de-Broglie wavelength…
• An expression for a dimensionless quantity P is given by P=α/βlogₑ(kt/(β x)); where α…
• The I-V characteristics of a p-n junction diode in forward bias is shown in the figure…
• Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates…
• Two capacitors having capacitance C₁ and C₂ respectively are connected as shown in…

Chemistry

• The spin-only magnetic moment value of the most basic oxide of vanadium among V₂O₃, V₂O₄…
• A 0.5 percent solution of potassium chloride was found to freeze at -0.24°C. The…
• The correct order of melting points of hydrides of group 16 elements is :
• Given below are two statements : Statement I : In 'Lassaigne's Test', when both nitrogen…
• Which will have the highest enol content?
• Given below are two statements : Statement I : According to Ellingham diagram, any metal…
• The number of oxygens present in a nucleotide formed from a base, that is present only…
• Which of the following sets are correct regarding polymer? (A) Copolymer : Buna-S (B)…
• Which statement is not true with respect to nitrate ion test?
• Consider the following reaction : A + alkali → B (Major Product) If B is an oxoacid of…
• 50 mL of 0.1 M CH₃COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been…
• (C₇H₅O₂)₂ →(hv) [X] → 2C₆H₅ + 2CO₂ Consider the above reaction and identify the…
• The ( (∂ E)/(∂ T) )_P of different types of half cells are as follows: A | B | C | D; 1…
• Consider the following reaction: 2HSO₄ - (aq)→ _((2) Hydrolysis)^((1) Electrolysis)…
• If the radius of the 3ʳᵈ Bohr's orbit of hydrogen atom is r₃ and the radius of 4ᵗʰ…
• On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and…
• Consider the ions/molecule O₂ +, O₂, O₂ -, O₂ 2- For increasing bond order the correct…
• The spin-only magnetic moment value of an octahedral complex among CoCl₃.4NH₃…
• For complete combustion of methanol CH₃OH(I) + 3/2O₂(g) → CO₂(g) + 2H₂O(I) the amount of…
• Choose the correct stability order of group 13 elements in their + 1 oxidation state :
• A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and…
• A chemical which stimulates the secretion of pepsin is :
• A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid…
• The correct order of melting point is :
• Compound 'P' on nitration with dil. HNO₃ yields two isomers (A) and (B). These isomers…

Mathematics

• There are ten boys B₁, B₂, ......., B₁₀ and five girls G₁, G₂, ........, G₅ in a class…
• Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to…
• Let A be a 3 × 3 invertible matrix. If |adj (24A)| = |adj (3 adj (2A))|, then |A|² is…
• Let the solution curve y = y(x) of the differential equation (4 + x²)dy - 2x(x² + 3y +…
• The value of the integral 48/(π ⁴)∫₀^π ( (3π x²)/2 - x³ )(sin x)/(1 + cos ²x)dx is equal…
• Let A = n ∈ N : H.C.F. (n, 45) = 1 and Let B = 2k : k ∈ 1, 2, ......., 100. Then the sum…
• Let f(x) = (x - 1)/(x + 1), x ∈ R - { 0, - 1,1}. If fⁿ⁺¹(x) = f(fⁿ(x)) for all n ∈ N…
• The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean…
• Let the normal at the point on the parabola y² = 6x pass through the point (5, -8). If…
• Let f, g : R → R be two real valued functions defined as f(x) = { - |x + 3|, ,, x < 0…
• The remainder when (2021)²⁰²³ is divided by 7 is :
• The area bounded by the curve y = |x² - 9| and the line y = 3 is :
• The sum of the cubes of all the roots of the equation x⁴ - 3x³ - 2x² + 3x + 1 = 0 is…
• The ordered pair (a, b), for which the system of linear equations 3x - 2y + z = b 5x -…
• lim _(x → 1/√2) (sin (cos ⁻¹x) - x)/(1 - tan (cos ⁻¹x)) is equal to :
• Let the common tangents to the curves 4(x² + y²) = 9 and y² = 4x intersect at the point…
• Let C be a circle passing through the points A(2, -1) and B(3, 4). The line segment AB s…
• Let f(x) = max |x + 1|, |x + 2|, ....., |x + 5|. Then ∫₋₆⁰ f(x)dx is equal to __________.
• If sin²(10°)sin (20°)sin (40°)sin (50°)sin (70°)=α-1/16 sin (10°), then 16+α⁻¹ is equal…
• Let S be the set of all the natural numbers, for which the line x/a + y/b = 2 is a…
• The sum of the absolute minimum and the absolute maximum values of the function f(x) =…
• If the two lines l₁:(x - 2)/3 = (y + 1)/-2, z = 2 and l₂:(x - 1)/1 = (2y + 3)/α = (z +…
• Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that…
• Let f(x) = 2cos ⁻¹x + 4cot ⁻¹x - 3x² - 2x + 10, x ∈ [ - 1,1]. If [a, b] is the range of…
• Let A = { z ∈ C:| (z + 1)/(z - 1) | < 1 } and B = { z ∈ C:arg ( (z - 1)/(z + 1) ) = 2π/3…
• Let S = (0,2π ) - { π/2,3π/4,3π/2,7π/4 }. Let y = y(x), x ∈ S, be the solution curve of…
• Let A = Σᵢ₌₁¹⁰ Σⱼ₌₁¹⁰ min { i,j} and B = Σᵢ₌₁¹⁰ Σⱼ₌₁¹⁰ max { i,j} . Then A + B is equal…
• If a⃗ . b⃗ = 1, b⃗ . c⃗ = 2 and c⃗ . a⃗ = 3, then the value of [ a⃗ × ( b⃗ × c⃗ ), b⃗ ×…
• Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of…

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