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

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Physics

• Hydrogen atom from excited state comes to the ground state by emitting a photon of…
• For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed…
• The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given R…
• A drop of liquid of density ρ is floating half immersed in a liquid of density σ and…
• For a free body diagram shown in the figure, the four forces are applied in the 'x' and…
• Capacitance of an isolated conducting sphere of radius R₁ becomes n times when it is…
• Let η₁ is the efficiency of an engine at T₁=447° C and T₂=147° C while η₂ is the…
• The ratio of wavelengths of proton and deuteron accelerated by potential Vₚ and V d is 1…
• The maximum error in the measurement of resistance, current and time for which current…
• In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm…
• A convex lens of focal length 20 cm is placed in front of a convex mirror with principal…
• Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed…
• Two waves executing simple harmonic motions travelling in the same direction with same…
• Three identical spheres each of mass M are placed at the corners of a right angled…
• Two parallel plate capacitors of capacity C and 3C are connected in parallel combination…
• A particle is moving in a straight line such that its velocity is increasing at 5 ms⁻¹…
• Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms⁻¹…
• An object is taken to a height above the surface of earth at a distance 5/4 R from the…
• An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1…
• A ball is projected from the ground with a speed 15 ms⁻¹ at an angle θ with horizontal…
• A current of 15 mA flows in the circuit as shown in figure. The value of potential…
• When you walk through a metal detector carrying a metal object in your pocket, it raises…
• The electric current in a circular coil of 2 turns produces a magnetic induction B₁ at…
• A block of ice of mass 120 g at temperature 0°C is put in 300 g of water at 25°C. The x…
• A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with…
• Two ideal diodes are connected in the network as shown in figure. The equivalent…
• x/(x + 4) is the ratio of energies of photons produced due to transition of an electron…
• Magnetic flux (in weber) in a closed circuit of resistance 20 Ω varies with time t(s) at…
• Light wave travelling in air along x-direction is given by E_y = 540 sin π × 10⁴(x - ct)…

Chemistry

• High purity (> 99.95%) dihydrogen is obtained by :
• Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y…
• For the decomposition of azomethane. CH₃N₂CH₃(g) → CH₃CH₃(g) + N₂(g), a first order…
• Match List I with List II: List I | List II; (A) | Sulphate | (I) | Pesticide; (B) |…
• While performing a thermodynamics experiment, a student made the following observations…
• The sum of number of lone pairs of electrons present on the central atoms of XeO₃, XeOF₄…
• The correct order of energy of absorption for the following metal complexes is : A…
• Glycosidic linkage between C₁ of α-glucose and C₂ of β-fructose is found in
• A sample of 4.5 mg of an unknown monohydric alcohol, R-OH was added to methylmagnesium…
• The total number of acidic oxides from the following list is NO, N₂O, B₂O₃, N₂O₅, CO…
• CH₃ - CH₂ - CN→ _(Ether)^(CH₃MgBr) A→(H₃O +) B→ _(HCl)^(Zn - Hg) C The correct structure…
• The correct order of density is :
• The separation of two coloured substances was done by paper chromatography. The…
• Match List I with List II: List I (molecule) | List II (hybridization ; shape); (A) |…
• When the excited electron of a H atom from n = 5 drops to the ground state, the maximum…
• In base vs. acid titration, at the end point methyl orange is present as
• The spin-only magnetic moment value of M³⁺ ion (in gaseous state) from the pairs Cr³⁺ /…
• 56.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of…
• Match List I with List II : List I | List II; (A) | Nylon 6, 6 | (I) | Buckets; (B) |…
• Given below are two statements. Statement I : Pig iron is obtained by heating cast iron…
• The total number of monobromo derivatives formed by the alkanes with molecular formula…
• Some drugs bind to a site other than the active site of an enzyme. This site is known as
• For micelle formation, which of the following statements are correct? A. Micelle…
• The first ionization enthalpies of Be, B, N and O follow the order
• Arrange the following in decreasing acidic strength.
• The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl…
• K_(a₁), K_(a₂) and K_(a₃) are the respective ionization constants for the following…

Mathematics

• Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve…
• A plane E is perpendicular to the two planes 2 x-2 y+z=0 and x-y+2 z=4, and passes…
• Let the point P(α,β) be at a unit distance from each of the two lines L₁:3x-4y+12=0, and…
• The shortest distance between the lines (x+7)/-6=(y-6)/7=z and (7-x)/2=y-2=z-6 is :
• Let f be a twice differentiable function on ℝ. If f′(0)=4 and f(x) + ∫₀ˣ (x - t)f'(t)dt…
• If A and B are two events such that P(A)=1/3, P(B)=1/5 and P(A ∪ B)=1/2, then P(A |…
• The tangents at the points A(1,3) and B(1,-1) on the parabola y²-2 x-2 y=1 meet at the…
• Let aₙ = ∫₋₁ⁿ ( 1 + x/2 + x²/3 + ..... + xⁿ⁻¹/n )dx for every n ∈ N. Then the sum of all…
• The sum Σₙ₌₁²¹ 3/(4n - 1)(4n + 3) is equal to
• The number of real values of λ, such that the system of linear equations 2x - 3y + 5z =…
• Let f(x) be a quadratic polynomial with leading coefficient 1 such that f(0)=p, p ≠ 0…
• The remainder when (11)¹⁰¹¹+(1011)¹¹ is divided by 9 is
• For z ∈ ℂ if the minimum value of (|z-3 √2|+|z-p √2 i|) is 5 √2, then a value Question…
• Let x = sin (2tan ⁻¹α ) and y = sin ( 1/2tan ⁻¹4/3 ). If S = { a ∈ R:y² = 1 - x}, then…
• 2 sin (π/22)sin (3π/22)sin (5π/22)sin (7π/22)sin (9π/22) is equal to :
• If the circles x² + y² + 6x + 8y + 16 = 0 and x² + y² + 2( 3 - √3 )x + 2( 4 - √6 )y = k…
• If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged…
• Let [t] denote the greatest integer less than or equal to t. Then the value of the…
• The number of bijective functions f:{1,3,5,7, …, 99} →{2,4,6,8, … .100}, such that f(3)…
• Let a smooth curve y=f(x) be such that the slope of the tangent at any point (x, y) on…
• The sum of the maximum and minimum values of the function f(x)=|5 x-7|+[x²+2 x] in the…
• Let A={1,2,3,4,5,6,7}. Define B={T ⊆ A : either 1 ∉ T or 2 ∈ T} and C={T ⊆ A: T the sum…
• lim _(n → ∞) 1/2ⁿ( 1/√(1 - 1/2ⁿ) + 1/√(1 - 2/2ⁿ) + 1/√(1 - 3/2ⁿ) + ... + 1/√(1 - (2ⁿ -…
• Let y=y(x) be the solution of the differential equation (d y)/(d x)=(4 y³+2 y x²)/(3 x…
• lim(x → π/4) (8 √2-(cos x+sin x)⁷)/(√2-√2 sin 2 x) is equal to
• Let a⃗=î-ĵ+2 k̂ and let b⃗ be a vector such that a⃗ × b⃗=2 î-k̂ and a⃗ · b⃗=3. Then the…
• Let the foci of the ellipse x²/16+y²/7=1 and the hyperbola x²/144-y²/α=1/25 coincide…
• If the ellipse x²/a²+y²/b²=1 meets the line x/7+y/(2 √6)=1 on the x-axis and the line…
• Let A=[1, a, a; 0, 1, b; 0, 0, 1], a, b ∈ ℝ. If for some n ∈ ℕ, Aⁿ=[1, 48, 2160; 0, 1…

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