JEE Main 2023 (Online) 24th January Morning Shift — Question Paper

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Physics

• Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then…
• Given below are two statements : one is labelled as Assertion A and the other is…
• A conducting circular loop of radius 10/√π cm is placed perpendicular to a uniform…
• Given below are two statements : Statement I : An elevator can go up or down with…
• A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at…
• A circular loop of radius r is carrying current I A. The ratio of magnetic field at the…
• 1 g of a liquid is converted to vapour at 3 × 10⁵ Pa pressure. If 10% of the heat…
• A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters…
• As shown in the figure, a combination of a thin plano concave lens and a thin plano…
• A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m…
• As per given figure, a weightless pulley P is attached on a double inclined frictionless…
• A hole is drilled in a metal sheet. At 27° C, the diameter of hole is 5 cm. When the…
• In the circuit shown in the figure, the ratio of the quality factor and the band width…
• From the photoelectric effect experiment, following observations are made. Identify…
• Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6×10⁻²⁷ kg…
• In E⃗ and K⃗ represent electric field and propagation vectors of the EM waves in vacuum…
• Vectors aî+bĵ+k̂ and 2î-3ĵ+4k̂ are perpendicular to each other when 3a+2b=7, the ratio…
• The maximum vertical height to which a man can throw a ball is 136 m. The maximum…
• A travelling wave is described by the equation y(x,t) = [0.05 sin (8x - 4t)] m The…
• If two charges q₁ and q₂ are separated with distance 'd' and placed in a medium of…
• A 100 m long wire having cross-sectional area 6.25×10⁻⁴ m² and Young's modulus is 10¹⁰…
• Given below are two statements : Statement I : The temperature of a gas is -73°C. When…
• A stream of a positively charged particles having q/m = 2 × 10¹¹C/kg and velocity v⃗ ₀ =…
• Match List I with List II List-I | List-II ; A. | Planck's constant (h) | I. | [M¹ L²…
• As shown in the figure, a network of resistors is connected to a battery of 24V with an…
• Consider the following radioactive decay process ₈₄²¹⁸A→(α) A₁→(β -) A₂→(γ) A₃→(α) A₄→(β…
• Given below are two statements : Statement I : If the Brewster's angle for the light…
• Two long straight wires P and Q carrying equal current 10A each were kept parallel to…
• The weight of a body at the surface of earth is 18 N. The weight of the body at an…

Chemistry

• Given below are two statements: Statement I : Noradrenaline is a neurotransmitter…
• Order of Covalent bond; A. KF > KI ; LiF > KF B. KF < KI ; LiF > KF C. SnCl₄ > SnCl₂…
• Number of moles of AgCl formed in the following reaction is _____________
• Uracil is a base present in RNA with the following structure. % of N in uracil is…
• Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of…
• Statement I : For colloidal particles, the values of colligative properties are of small…
• For independent process at 300 K Process | Δ H/kJ mol⁻¹ | Δ S/J K⁻¹; A | -25 | -80; B |…
• The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M…
• 5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What…
• The dissociation constant of acetic acid is x×10⁻⁵. When 25 mL of 0.2 M CH₃COONa…
• When Fe_(0.93)O is heated in presence of oxygen, it converts to Fe₂O₃. The number of…
• Decreasing order of the hydrogen bonding in following forms of water is correctly…
• An ammoniacal metal salt solution gives a brilliant red precipitate on addition of…
• Match List I with List II List-I | List-II ; A. | Chlorophyll | I. | Na₂CO₃; B. | Soda…
• The primary and secondary valencies of cobalt respectively in [Co(NH₃)₅Cl]Cl₂ are :
• Reaction of BeO with ammonia and hydrogen fluoride gives A which on thermal…
• The d-electronic configuration of [CoCl₄]²⁻ in tetrahedral crystal field in eᵐt₂ⁿ. Sum…
• It is observed that characteristic X-ray spectra of elements show regularity. When…
• Compound (X) undergoes following sequence of reactions to give the Lactone (Y).
• Which of the Phosphorus oxoacid can create silver mirror from AgNO₃ solution?
• If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then…
• Increasing order of stability of the resonance structures is : Choose the correct answer…
• In the depression of freezing point experiment A. Vapour pressure of the solution is…
• At 298 K, a 1 litre solution containing 10 mmol of Cr₂O₇²⁻ and 100 mmol of Cr³⁺ shows a…
• Match List I with List II List-I | List-II ; A. | Reverberatory furnace | I. | Pig Iron…

Mathematics

• Let Ω be the sample space and A ⊆ Ω be an event. Given below are two statements : (S1)…
• For three positive integers p, q, r, x^(pq²) = y^(qr) = z^(p²r) and r = pq + 1 such that…
• Let N denote the number that turns up when a fair die is rolled. If the probability that…
• The value of 8/π∫₀^(π/2) (cos x)²⁰²³/((sin x)²⁰²³ + (cos x)²⁰²³)dx is ___________
• Let a tangent to the curve y²=24x meet the curve xy = 2 at the points A and B. Then the…
• The area enclosed by the curves y²+4x=4 and y-2x=2 is :
• Let y = y(x) be the solution of the differential equation x³dy + (xy - 1)dx = 0,x > 0,y(…
• Let C be the largest circle centred at (2, 0) and inscribed in the ellipse x²/36 + y²/16…
• The distance of the point (-1,9,-16) from the plane 2x+3y-z=5 measured parallel to the…
• Let p,q∈ℝ and ( 1 - √3 i )²⁰⁰ = 2¹⁹⁹(p + iq),i = √(- 1) then p+q+q² and p-q+q² are roots…
• Let f(x) = { x²sin ( 1/x ), , x ≠ 0; 0, , x = 0 Then at x=0
• Suppose Σᵣ₌₀²⁰²³ r² ²⁰²³Cᵣ = 2023 × α × 2²⁰²² . Then the value of α is ___________
• The 4ᵗʰ term of GP is 500 and its common ratio is 1/m,m∈ℕ. Let Sₙ denote the sum of the…
• If A and B are two non-zero n × n matrices such that A²+B=A²B, then :
• Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively…
• Let α be a root of the equation (a - c)x² + (b - a)x + (c - b) = 0 where a, b, c are…
• The value of Σᵣ₌₀²² ²²Cᵣ²³Cᵣ is
• Let u⃗ = î - ĵ - 2k̂,v⃗ = 2î + ĵ - k̂,v⃗ . w⃗ = 2 and v⃗ × w⃗ = u⃗ + λ v⃗ . Then u⃗ . w⃗…
• The shortest distance between the lines (x - 2)/3 = (y + 1)/2 = (z - 6)/2 and (x - 6)/3…
• Let a tangent to the curve 9x² + 16y² = 144 intersect the coordinate axes at the points…
• The equation x² - 4x + [x] + 3 = x[x], where [x] denotes the greatest integer function…
• Let λ ∈ ℝ and let the equation E be |x|² - 2|x| + |λ - 3| = 0. Then the largest element…
• The value of 12∫₀³ | x² - 3x + 2 |dx is ____________
• lim _(t → 0) ( 1^(1/(sin ²t)) + 2^(1/(sin ²t)) + ... + n^(1/(sin ²t)) )^(sin ²t) is…
• The number of 9 digit numbers, that can be formed using all the digits of the number…
• The distance of the point (7, -3, -4) from the plane passing through the points (2, -3…
• The relation R = { (a,b):gcd (a,b) = 1,2a ≠ b,a,b ∈ ℤ} is :
• A boy needs to select five courses from 12 available courses, out of which 5 courses are…
• tan ⁻¹( (1 + √3)/(3 + √3) ) + sec ⁻¹( √((8 + 4√3)/(6 + 3√3)) ) is equal to :

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