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

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Physics

• A geyser heats water flowing at a rate of 2.0 kg per minute from 30°C to 70°C. If geyser…
• The equivalent resistance between points A and B in the given network is :
• A heat engine operates with the cold reservoir at temperature 324 K. The minimum…
• A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept…
• Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 μC are…
• Which is the correct ascending order of wavelengths?
• A system to 10 balls each of mass 2 kg are connected via massless and unstretchable…
• The positive feedback is required by an amplifier to act an oscillator. The feedback…
• The charge on capacitor of capacitance 15μF in the figure given below is :
• A travelling microscope is used to determine the refractive index of a glass slab. If 40…
• The stopping potential for photoelectrons emitted from a surface illuminated by light of…
• A solid spherical ball is rolling on a frictionless horizontal plane surface about its…
• A small bulb is placed at the bottom of a tank containing water to a depth of √7 m. The…
• The dimension of mutual inductance is :
• A radioactive nucleus can decay by two different processes. Half-life for the first…
• A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler…
• A metal surface is illuminated by a radiation of wavelength 4500 Aᵒ. The ejected…
• For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v…
• If p is the density and η is coefficient of viscosity of fluid which flows with a speed…
• Arrange the four graphs in descending order of total work done; where W₁, W₂, W₃ and W₄…
• A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork…
• Two coils of self inductance L₁ and L₂ are connected in series combination having mutual…
• In the arrangement shown in figure a₁, a₂, a₃ and a₄ are the accelerations of masses m₁…
• A bar magnet having a magnetic moment of 2.0 × 10⁵ JT⁻¹, is placed along the direction…
• A parallel plate capacitor with plate area A and plate separation d = 2 m has a…
• A ball is projected vertically upward with an initial velocity of 50 ms⁻¹ at t = 0s. At…
• A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west…
• Given below are two statements : One is labelled as Assertion A and the other is…
• Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each…

Chemistry

• The final product 'C' in the following series of reactions
• The moles of methane required to produce 81 g of water after complete combustion is…
• CNG is an important transportation fuel. When 100 g CNG is mixed with 208 g oxygen in…
• Which one of the following is a water soluble vitamin, that is not excreted easily?
• Which of the following is NOT an example of synthetic detergent?
• Halogenation of which one of the following will yield m-substituted product with respect…
• Which statement is NOT correct for p-toluenesulphonyl chloride?
• The most common oxidation state of Lanthanoid elements is +3. Which of the following is…
• The oxide which contains an odd electron at the nitrogen atom is :
• The number of radial and angular nodes in 4d orbital are, respectively
• The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of…
• Reaction of [Co(H₂O)₆]²⁺ with excess ammonia and in the presence of oxygen results into…
• Cu(s) + Sn²⁺ (0.001M) → Cu²⁺ (0.01M) + Sn(s) The Gibbs free energy change for the above…
• The correct order of nucleophilicity is
• A fish swimming in water body when taken out from the water body is covered with a film…
• Amongst SF₄, XeF₄, CF₄ and H₂O, the number of species with two lone pairs of electrons…
• In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral…
• The role of depressants in 'Froth Flotation method' is to
• Match List-I with List-II List - I Enzyne | List - II Conversion of; A. | Invertase | I…
• The reagent, from the following, which converts benzoic acid to benzaldehyde in one step…
• Which one of the following is an example of disproportionation reaction ?
• Catalyst A reduces the activation energy for a reaction by 10 kJ mol⁻¹ at 300 K. The…
• Oxidation of toluene to benzaldehyde can be easily carried out with which of the…
• s-block element which cannot be qualitatively confirmed by the flame test is :
• Which of the following elements is considered as a metalloid?
• Boiling of hard water is helpful in removing the temporary hardness by converting…

Mathematics

• Let f : R → R satisfy f(x + y) = 2ˣf(y) + 4ʸf(x), ∀x, y ∈ R. If f(2) = 3, then 14…
• The area of the region bounded by y² = 8x and y² = 16(3 - x) is equal to:
• If m is the slope of a common tangent to the curves x²/16 + y²/9 = 1 and x² + y² = 12…
• 16 sin (20°)sin (40°)sin (80°) is equal to :
• Let a⃗ = î + ĵ + 2k̂, b⃗ = 2î - 3ĵ + k̂ and c⃗ = î - ĵ + k̂ be three given vectors. Let…
• If the solution of the differential equation dy/dx + eˣ( x² - 2 )y = ( x² - 2x )( x² - 2…
• If the lines r⃗ = ( î - ĵ + k̂ ) + λ ( 3ĵ - k̂ ) and r⃗ = ( α î - ĵ ) + μ ( 2î - 3k̂ )…
• If A = Σₙ₌₁^∞ 1/( 3 + ( - 1)ⁿ )ⁿ and B = Σₙ₌₁^∞ ( - 1)ⁿ/( 3 + ( - 1)ⁿ )ⁿ , then A/B is…
• If the inverse trigonometric functions take principal values then cos ⁻¹( 3/10 cos ( tan…
• Let X = [ 0, 1, 0; 0, 0, 1; 0, 0, 0 ], Y = α I + β X + γ X² and Z = α ²I - α β X + (β ²…
• lim _(x → 0) (cos (sin x) - cos x)/x⁴ is equal to :
• If y = y(x) is the solution of the differential equation xdy/dx + 2y = x eˣ, y(1) = 0…
• Let f : R → R be defined as f (x) = x - 1 and g : R - 1, -1 → R be defined as g(x) =…
• Let p and q be two real numbers such that p + q = 3 and p⁴ + q⁴ = 369. Then ( 1/p + 1/q…
• If ( ⁴⁰C₀ ) + ( ⁴¹C₁ ) + ( ⁴²C₂ ) + ..... + ( ⁶⁰C₂₀ ) = m/n⁶⁰C₂₀ m and n are coprime…
• If z² + z + 1 = 0, z ∈ C, then | Σₙ₌₁¹⁵ ( zⁿ + ( - 1)ⁿ1/zⁿ )² | is equal to _________.
• The mean and standard deviation of 50 observations are 15 and 2 respectively. It was…
• If the plane 2x + y - 5z = 0 is rotated about its line of intersection with the plane 3x…
• The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is…
• If a₁ (> 0), a₂, a₃, a₄, a₅ are in a G.P., a₂ + a₄ = 2a₃ + 1 and 3a₂ + a₃ = 2a₄, then a₂…
• If ∫ 1/x√((1-x)/(1+x))dx=g(x)+c, g(1)=0, then g(1/2) is equal to :
• Let f(x) = min 1, 1 + x sin x, 0 ≤ x ≤ 2π. If m is the number of points, where f is not…
• The normal to the hyperbola x²/a² - y²/9 = 1 at the point ( 8,3√3 ) on it passes through…
• The locus of the mid point of the line segment joining the point (4, 3) and the points…
• Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum…
• Let a line L₁ be tangent to the hyperbola x²/16 - y²/4 = 1 and let L₂ be the line…
• If the system of equations αx + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = β has…
• The integral 24/π∫₀^(√2) (2 - x²)dx/(2 + x²)√(4 + x⁴) is equal to ____________.
• If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8…

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