JEE Main 2023 (Online) 6th April Morning Shift — Question Paper

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Physics

• Given below are two statements : one is labelled as Assertion A and the other is…
• A parallel plate capacitor with plate area A and plate separation d is filled with a…
• A small ball of mass M and density ρ is dropped in a viscous liquid of density ρ₀. After…
• A long straight wire of circular cross-section (radius a) is carrying steady current I…
• A monochromatic light wave with wavelength λ₁ and frequency v₁ in air enters another…
• Given below are two statements : one is labelled as Assertion A and the other is…
• For a uniformly charged thin spherical shell, the electric potential (V) radially away…
• The kinetic energy of an electron, α-particle and a proton are given as 4 K, 2 K and K…
• A particle is moving with constant speed in a circular path. When the particle turns by…
• A pole is vertically submerged in swimming pool, such that it gives a length of shadow…
• Name the logic gate equivalent to the diagram attached
• A mass m is attached to two strings as shown in figure. The spring constants of two…
• The energy levels of an hydrogen atom are shown below. The transition corresponding to…
• The radius of fifth orbit of the Li⁺⁺ is __________ × 10⁻¹² m. Take: radius of hydrogen…
• The resistivity (ρ) of semiconductor varies with temperature. Which of the following…
• Two resistances are given as R₁=(10± 0.5)Ω and R₂=(15± 0.5)Ω. The percentage error in…
• The length of a metallic wire is increased by 20 % and its area of cross section is…
• A planet has double the mass of the earth. Its average density is equal to that of the…
• A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it…
• A small block of mass 100 g is tied to a spring of spring constant 7.5 N / m and length…
• For the plane electromagnetic wave given by E=E₀ sin (ω t-k x) and B=B₀ sin (ω t-k x)…
• A person driving car at a constant speed of 15 m / s is approaching a vertical wall. The…
• Two identical circular wires of radius 20 cm and carrying current √2 A are placed in…
• The induced emf can be produced in a coil by A. moving the coil with uniform speed…
• A source supplies heat to a system at the rate of 1000 W. If the system performs work at…
• An ideal transformer with purely resistive load operates at 12 kV on the primary side…
• Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a…
• A particle of mass 10 g moves in a straight line with retardation 2 x, where x is the…
• The number of air molecules per cm³ increased from 3×10¹⁹ to 12×10¹⁹. The ratio of…

Chemistry

• Match List I with List II LIST I Name of reaction | LIST II Reagent used; A. |…
• Mass of Urea (NH₂ CONH₂) required to be dissolved in 1000 g of water in order to reduce…
• Number of ambidentate ligands in a representative metal complex [M(en)(SCN)₄] is…
• The value of log K for the reaction A ⇌ B at 298 K is ___________. (Nearest integer)…
• The setting time of Cement is increased by adding :
• The difference between electron gain enthalpies will be maximum between :
• The major products A and B from the following reactions are:
• The major product formed in the following reaction is
• Polymer used in orlon is :
• For a concentrated solution of a weak electrolyte (K_(eq)= equilibrium constant) A₂B₃ of…
• The standard electrode potential of M⁺ / M in aqueous solution does not depend on
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Which of the following options are correct for the reaction 2[Au(CN)₂]⁻(aq)+Zn(s) → 2…
• For the adsorption of hydrogen on platinum, the activation energy is 30 k J mol⁻¹ and…
• A compound is formed by two elements X and Y. The element Y forms cubic close packed…
• Match List I with List II LIST I Element detected | LIST II Reagent used / Product…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Strong reducing and oxidizing agents among the following, respectively, are :
• Compound P, →(HCl, Δ), Filter, {→ Residue Q; → Filtrate; (M.F. C₁₄H₁₃ON), ↓ NaOH; M.F. =…
• The number of species from the following which have square pyramidal structure is…
• Match List I with List II LIST I Vitamin | LIST II Deficiency disease; A. | Vitamin A |…
• In ammonium - phosphomolybdate, the oxidation state of Mo is + ___________
• Consider the graph of Gibbs free energy G vs Extent of reaction. The number of…
• Number of bromo derivatives obtained on treating ethane with excess of Br₂ in diffused…
• If 5 moles of BaCl₂ is mixed with 2 moles of Na₃ PO₄, the maximum number of moles of…
• Match List I with List II LIST I Enzymatic reaction | LIST II Enzyme; A. | Sucrose →…
• The wavelength of an electron of kinetic energy 4.50×10⁻²⁹ J is _________ × 10⁻⁵ m…

Mathematics

• A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success…
• The straight lines l₁ and l₂ pass through the origin and trisect the line segment of the…
• If 2 xʸ+3 yˣ=20, then (d y)/(d x) at (2,2) is equal to :
• One vertex of a rectangular parallelopiped is at the origin O and the lengths of its…
• Let the point (p, p+1) lie inside the region E={(x, y): 3-x ≤ y ≤ √(9-x²), 0 ≤ x ≤ 3}…
• Let a₁, a₂, a₃, …, aₙ be n positive consecutive terms of an arithmetic progression. If d…
• Let A={1,2,3,4, … ., 10} and B={0,1,2,3,4}. The number of elements in the relation…
• Let y=y(x) be a solution of the differential equation (x cos x) d y+(x y sin x+y cos…
• Let 5 f(x)+4 f(1/x)=1/x+3, x > 0. Then 18 ∫1² f(x) d x is equal to :
• Let a ∈ ℤ and [t] be the greatest integer ≤ t. Then the number of points, where the…
• If ²ⁿ C₃: ⁿ C₃=10: 1, then the ratio (n²+3 n):(n²-3 n+4) is :
• Let the position vectors of the points A, B, C and D be 5 î+5 ĵ+2 λ k̂, î+2 ĵ+3 k̂,-2…
• The sum of the first 20 terms of the series 5+11+19+29+41+… is :
• The coefficient of x¹⁸ in the expansion of (x⁴-1/x³)¹⁵ is __________.
• The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and…
• Let the image of the point P(1,2,3) in the plane 2 x-y+z=9 be Q. If the coordinates of…
• If the ratio of the fifth term from the beginning to the fifth term from the end in the…
• Let I(x)=∫ x²(x sec² x+tan x)/(x tan x+1)²dx. If I(0)=0, then I(π/4) is equal to :
• If the area of the region S={(x,y):2y-y²≤ x²≤ 2y,x≥ y} is equal to (n+2)/(n+1)-π/(n-1)…
• The number of ways of giving 20 distinct oranges to 3 children such that each child gets…
• The sum of all the roots of the equation |x²-8 x+15|-2 x+7=0 is :
• Let a⃗=2 î+3 ĵ+4 k̂, b⃗=î-2 ĵ-2 k̂ and c⃗=-î+4 ĵ+3 k̂. If d⃗ is a vector perpendicular…
• Let A=[aᵢⱼ]_(2 × 2), where aᵢⱼ ≠ 0 for all i, j and A²=I. Let a be the sum of all…
• A circle passing through the point P(α, β) in the first quadrant touches the two…
• If the equation of the plane passing through the line of intersection of the planes 2…
• Let the tangent to the curve x²+2 x-4 y+9=0 at the point P(1,3) on it meet the y-axis at…
• If the system of equations x+y+a z=b 2 x+5 y+2 z=6 x+2 y+3 z=3 has infinitely many…
• Let A = { x ∈ R:[x + 3] + [x + 4] ≤ 3} , B = { x ∈ R:3ˣ( Σᵣ₌₁^∞ 3/10ʳ )ˣ⁻³ < 3⁻³ˣ }…

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