JEE Main 2023 (Online) 12th April Morning Shift — Question Paper

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Physics

• Given below are two statements: Statement I : A truck and a car moving with same kinetic…
• Two convex lenses of focal length 20 cm each are placed coaxially with a separation of…
• The current flowing through a conductor connected across a source is 2 A and 1.2 A at 0°…
• Given below are two statements: Statement I : The diamagnetic property depends on…
• Three forces F₁=10 N, F₂=8 N, F₃=6 N are acting on a particle of mass 5 kg. The forces…
• In an n-p-n common emitter (CE) transistor the collector current changes from 5 mA to 16…
• For a certain organ pipe, the first three resonance frequencies are in the ratio of…
• Given below are two statements: Statement I : When the frequency of an a.c source in a…
• A body cools from 80° C to 60° C in 5 minutes. The temperature of the surrounding is 20°…
• Two satellites A and B move round the earth in the same orbit. The mass of A is twice…
• If the r. m.s speed of chlorine molecule is 490 m / s at 27° C, the r. m. s speed of…
• An ice cube has a bubble inside. When viewed from one side the apparent distance of the…
• For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic…
• An engine operating between the boiling and freezing points of water will have A…
• A compass needle oscillates 20 times per minute at a place where the dip is 30° and 30…
• A ball is thrown vertically upward with an initial velocity of 150 m / s. The ratio of…
• 64 identical drops each charged upto potential of 10 mV are combined to form a bigger…
• Glycerin of density 1.25 × 10³ kg m⁻³ is flowing through the conical section of pipe The…
• A particle is executing simple harmonic motion (SHM). The ratio of potential energy and…
• To maintain a speed of 80 km/h by a bus of mass 500 kg on a plane rough road for 4 km…
• A wire of resistance 160 Ω is melted and drawn in a wire of one-fourth of its length…
• The ratio of escape velocity of a planet to the escape velocity of earth will be:-…
• A conducting circular loop is placed in a uniform magnetic field of 0.4 T with its plane…
• A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The…
• A common example of alpha decay is ₉₂²³⁸ U → ₉₀²³⁴ Th+ ₂ He⁴+Q Given : ₉₂²³⁸ U=238.05060…
• Match List I with List II LIST I | LIST II; A. | Spring constant | I. | [T⁻¹]; B. |…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• A proton and an α-particle are accelerated from rest by 2 V and 4 V potentials…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…

Chemistry

• An analyst wants to convert 1 L HCl of pH=1 to a solution of HCl of pH 2. The volume of…
• The bond order and magnetic property of acetylide ion are same as that of
• Correct statements for the given reaction are : A. Compound 'B' is aromatic B. The…
• In an oligopeptide named Alanylglycylphenyl alanyl isoleucine, the number of sp²…
• Three organic compounds A, B and C were allowed to run in thin layer chromatography…
• Given below are two statements : Statement I : SbCl₅ is more covalent than SbCl₃…
• The density of alkali metals is in the order :
• The reaction 2 NO+Br₂ → 2 NOBr takes places through the mechanism given below: NO+Br₂ ⇔…
• The mass of NH₃ produced when 131.8 kg of cyclohexanecarbaldehyde undergoes Tollen's…
• Match List I with List II LIST I (Examples) | LIST II (Type); A. | 2-chloro-1,3-…
• Match List I with List II LIST I Complex | LIST II CFSE (Δ₀); A. | [Cu(NH₃)₆]²⁺ | I. |…
• A metal chloride contains 55.0 % of chlorine by weight . 100 mL vapours of the metal…
• Match List I with List II LIST I Type of Hydride | LIST II Example; A. | Electron…
• In the given reaction cycle CaCl₂ + Na₂CO₃ @>>> X @. + Y ; @AAA @VVV @. ; @<Z<< @. X, Y…
• Given below are two statements : Statement I : Boron is extremely hard indicating its…
• One mole of an ideal gas at 350 K is in a 2.0 L vessel of thermally conducting walls…
• Values of work function (W₀) for a few metals are given below Metal | Li | Na | K | Mg |…
• The incorrect statement regarding the reaction given below is
• For lead storage battery pick the correct statements A. During charging of battery…
• 80 mole percent of MgCl₂ is dissociated in aqueous solution. The vapour pressure of 1.0…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Given below are two statement: one is labelled as Assertion A and the other is labelled…
• Four gases A, B, C and D have critical temperatures 5.3,33.2,126.0 and 154.3 K…

Mathematics

• The number of relations, on the set {1,2,3} containing (1,2) and (2,3), which are…
• If ∫-0.15^(0.15)|100 x²-1| d x=k/3000, then k is equal to ___________.
• Two dice A and B are rolled. Let the numbers obtained on A and B be α and β…
• If the point (α,7√3/3) lies on the curve traced by the mid-points of the line segments…
• Let λ ∈ ℤ, a⃗=λ î+ĵ-k̂ and b⃗=3 î-ĵ+2 k̂. Let c⃗ be a vector such that (a⃗+b⃗+c⃗) ×…
• Let I(x)=∫ √((x+7)/x) dx and I(9)=12+7 logₑ 7. If I(1)=α+7 logₑ(1+2√2), then α⁴ is equal…
• Let the plane P: 4 x-y+z=10 be rotated by an angle π/2 about its line of intersection…
• The area of the region enclosed by the curve y=x³ and its tangent at the point (-1,-1)…
• Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1)…
• Let y=y(x), y > 0, be a solution curve of the differential equation (1+x²) d y=y(x-y) d…
• Let Dₖ=|1, 2 k, 2 k-1; n, n²+n+2, n²; n, n²+n, n²+n+2|. If Σk=1ⁿ Dₖ=96, then n is equal…
• Let C be the circle in the complex plane with centre z₀=1/2(1+3 i) and radius r=1. Let…
• If the local maximum value of the function f(x)=(√(3 e)/(2 sin x))^(sin ² x), x ∈(0…
• A fair n(n > 1) faces die is rolled repeatedly until a number less than n appears. If…
• Let the lines l₁: (x+5)/3=(y+4)/1=(z-α)/-2 and l₂: 3 x+2 y+z-2=0=x-3 y+2 z-13 be…
• The number of five digit numbers, greater than 40000 and divisible by 5 , which can be…
• The sum, of the coefficients of the first 50 terms in the binomial expansion of…
• Let the positive numbers a₁, a₂, a₃, a₄ and a₅ be in a G.P. Let their mean and variance…
• Let < aₙ > be a sequence such that a₁+a₂+…+aₙ=(n²+3 n)/(n+1)(n+2). If 28 Σk=1¹⁰ 1/aₖ=p₁…
• Let a, b, c be three distinct real numbers, none equal to one. If the vectors a î+ĵ+k̂…
• Let P((2 √3)/√7, 6/√7), Q, R and S be four points on the ellipse 9 x²+4 y²=36. Let PQ…
• Let α, β be the roots of the quadratic equation x²+√6 x+3=0. Then…
• Two circles in the first quadrant of radii r₁ and r₂ touch the coordinate axes. Each of…
• Let A=[1, 1/51; 0, 1]. If B=[1, 2; -1, -1] A[-1, -2; 1, 1], then the sum of all the…
• If 1/(n+1) ⁿ Cₙ+1/n ⁿ Cₙ₋₁+…+1/2 ⁿ C₁+ ⁿ C₀=1023/10 then n is equal to :
• Let the plane x+3 y-2 z+6=0 meet the co-ordinate axes at the points A, B, C. If the…

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