JEE Main 2023 (Online) 25th January Evening Shift — Question Paper

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Physics

• A point charge of 10 μC is placed at the origin. At what location on the X-axis should a…
• Two long parallel wires carrying currents 8A and 15A in opposite directions are placed…
• Consider a block kept on an inclined plane (incline at 45°) as shown in the figure. If…
• A capacitor has capacitance 5μF when it's parallel plates are separated by air medium of…
• A nucleus disintegrates into two smaller parts, which have their velocities in the ratio…
• An object is placed on the principal axis of convex lens of focal length 10cm as shown…
• A train blowing a whistle of frequency 320 Hz approaches an observer standing on the…
• A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains…
• Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and…
• Statement I : When a Si sample is doped with Boron, it becomes P type and when doped by…
• A body of mass is taken from earth surface to the height h equal to twice the radius of…
• If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the…
• The distance travelled by a particle is related to time t as x=4t². The velocity of the…
• A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of…
• A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg…
• The light rays from an object have been reflected towards an observer from a standard…
• Match List I with List II List I | List II; A. | Young's Modulus (Y) | I. | [ML⁻¹T⁻¹]…
• Match List I with List II List I | List II; A. | Isothermal Process | I. | Work done by…
• The resistance of a wire is 5 Ω. It's new resistance in ohm if stretched to 5 times of…
• Two objects are projected with same velocity 'u' however at different angles α and β…
• According to law of equipartition of energy the molar specific heat of a diatomic gas at…
• For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of…
• Every planet revolves around the sun in an elliptical orbit :- A. The force acting on a…
• Given below are two statements : Statement I : Stopping potential in photoelectric…
• The energy levels of an atom is shown in figure. Which one of these transitions will…
• A spherical drop of liquid splits into 1000 identical spherical drops. If uᵢ is the…
• A particle executes simple harmonic motion between x=-A and x=+A. If time taken by…
• The graph between two temperature scales P and Q is shown in the figure. Between upper…

Chemistry

• Given below are two statements : Statement I : In froth floatation method of rotating…
• Match List I with List II List I (Name of polymer) | List II (Uses); A. | Glyptal | I. |…
• The number of given orbitals which have electron density along the axis is _________…
• The number of pairs of the solutions having the same value of the osmotic pressure from…
• Number of hydrogen atoms per molecule of a hydrocarbon A having 85.8% carbon is…
• Pt(s)|H₂(g)(1 bar)|H + (aq)(1 M)||M³⁺(aq),M + (aq)|Pt(s) The E_(cell) for the given cell…
• A chloride salt solution acidified with dil.HNO₃ gives a curdy white precipitate, [A]…
• A first order reaction has the rate constant, k=4.6×10⁻³ s⁻¹. The number of correct…
• A. Ammonium salts produce haze in atmosphere. B. Ozone gets produced when atmospheric…
• Which of the following represents the correct order of metallic character of the given…
• 28.0 L of CO₂ is produced on complete combustion of 16.8 L gaseous mixture of ethene and…
• The number of incorrect statement/s from the following is/are ___________ A. Water…
• Match List I with List II List I | List II; A. | Cobalt catalyst | I. | (H₂+Cl₂)…
• When the hydrogen ion concentration [H⁺] changes by a factor of 1000, the value of pH of…
• Match List I with List II List I (Amines) | List II (pK_b); A. | Aniline | I. | 3.25; B…
• Number of compounds giving (i) red colouration with ceric ammonium nitrate and also (ii)…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Based on the given figure, the number of correct statement/s is/are __________. A…
• Which one among the following metals is the weakest reducing agent?
• Match List I with List II List I Isomeric pairs | List II Type of isomers; A. |…
• Match List I with List II List I Coordination entity | List II Wavelength of light…
• Potassium dichromate acts as a strong oxidizing agent in acidic solution. During this…
• The isomeric deuterated bromide with molecular formula C₄H₈DBr having two chiral carbon…
• What is the mass ratio of ethylene glycol (C₂H₆O₂, molar mass = 62 g/mol) required for…
• Total number of moles of AgCl precipitated on addition of excess of AgNO₃ to one mole…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…

Mathematics

• Points P(-3, 2), Q(9, 10) and R(α,4) lie on a circle C and PR as its diameter. The…
• For the two positive numbers a,b, if a,b and 1/18 are in a geometric progression, while…
• 25% of the population are smokers. A smoker has 27 times more chances to develop lung…
• If the four points, whose position vectors are 3î - 4ĵ + 2k̂,î + 2ĵ - k̂, - 2î - ĵ + 3k̂…
• If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4)…
• If ∫_(1/3)³ |log ₑx|dx = m/nlog ₑ( n²/e ) , where m and n are coprime natural numbers…
• Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric…
• The remainder when (2023)²⁰²³ is divided by 35 is __________.
• Let A = [ 1/√10, 3/√10; (- 3)/√10, 1/√10 ] and B = [ 1, - i; 0, 1 ], where i = √(- 1)…
• Let N be the sum of the numbers appeared when two fair dice are rolled and let the…
• The shortest distance between the lines x+1=2y=-12z and x=y+2=6z-6 is :
• Let a⃗ = - î - ĵ + k̂,a⃗ . b⃗ = 1 and a⃗ × b⃗ = î - ĵ. Then a⃗ - 6b⃗ is equal to :
• Let z be a complex number such that | (z - 2i)/(z + i) | = 2,z ≠ - i. Then z lies on the…
• If the function f(x) = { (1 + |cos x|)^(λ / |cos x|), ,, 0 < x < π/2; μ, ,, x = π/2…
• The equations of two sides of a variable triangle are x=0 and y=3, and its third side is…
• Let the function f(x) = 2x³ + (2p - 7)x² + 3(2p - 9)x - 6 have a maxima for some value…
• Let T and C respectively be the transverse and conjugate axes of the hyperbola 16x² - y²…
• The foot of perpendicular of the point (2, 0, 5) on the line (x + 1)/2 = (y - 1)/5 = (z…
• The number of functions f:{ 1,2,3,4} → { a ∈ Z|a| ≤ 8} satisfying f(n) + 1/nf(n + 1) =…
• Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red…
• The integral 16∫₁² dx/x³( x² + 2 )² is equal to
• Let f:ℝ→ℝ be a function defined by f(x) = log _(√m){ √2 (sin x - cos x) + m - 2}, for…
• Σₖ₌₀⁶ ⁵¹⁻ᵏC₃ is equal to :
• Let y=y(t) be a solution of the differential equation dy/dt + α y = γ e^(- β t) where, α…
• Let α ∈ℝ and let α,β be the roots of the equation x² + 60^(1/4)x + a = 0. If α ⁴ + β ⁴ =…
• Let f(x) = 2xⁿ + λ ,λ ∈ R,n ∈ N, and f(4) = 133,f(5) = 255. Then the sum of all the…
• If m and n respectively are the numbers of positive and negative values of θ in the…
• The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1…

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