JEE Main 2023 (Online) 13th April Evening Shift — Question Paper

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Physics

• In the equation [X+a/Y²][Y-b]=RT,X is pressure, Y is volume, R is universal gas constant…
• The distance travelled by an object in time t is given by s=(2.5) t². The instantaneous…
• Given below are two statements: Statement I : For a planet, if the ratio of mass of the…
• In the network shown below, the charge accumulated in the capacitor in steady state will…
• A straight wire AB of mass 40 g and length 50 cm is suspended by a pair of flexible…
• Given below are two statements: Statement I : Out of microwaves, infrared rays and…
• An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600…
• Three point charges q,-2 q and 2 q are placed on x-axis at a distance x=0, x=3/4 R and…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Two plates A and B have thermal conductivities 84 Wm⁻¹ K⁻¹ and 126 Wm⁻¹ K⁻¹…
• The mean free path of molecules of a certain gas at STP is 1500 d, where d is the…
• A 10 μ C charge is divided into two parts and placed at 1 cm distance so that the…
• A particle executes SHM of amplitude A. The distance from the mean position when its's…
• A car accelerates from rest to u m / s. The energy spent in this process is E J. The…
• A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope…
• An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• In an experiment with sonometer when a mass of 180 g is attached to the string, it…
• In an electromagnetic wave, at an instant and at particular position, the electric field…
• Two planets A and B of radii R and 1.5 R have densities ρ and ρ / 2 respectively. The…
• The output from NAND gate having inputs A and B given below will be,
• A bi convex lens of focal length 10 cm is cut in two identical parts along a plane…
• Given below are two statements: Statement I : An AC circuit undergoes electrical…
• In a Young's double slits experiment, the ratio of amplitude of light coming from slits…
• The initial pressure and volume of an ideal gas are P₀ and V₀. The final pressure of the…
• A passenger sitting in a train A moving at 90 km / h observes another train B moving in…
• A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with…
• In the circuit shown, the energy stored in the capacitor is n μ J. The value of n is…
• An electron is moving along the positive x-axis. If the uniform magnetic field is…

Chemistry

• The naturally occurring amino acid that contains only one basic functional group in its…
• 0.400 g of an organic compound (X) gave 0.376 g of AgBr in Carius method for estimation…
• Identify the correct order of standard enthalpy of formation of sodium halides :
• 20 mL of 0.1 M NaOH is added to 50 mL of 0.1 M acetic acid solution. The pH of the…
• What happens when methane undergoes combustion in systems A and B respectively?
• The covalency and oxidation state respectively of boron in [BF₄]⁻, are :
• The orbital angular momentum of an electron in 3 s orbital is (x h)/(2 π). The value of…
• A(g) → 2B(g) + C(g) is a first order reaction. The initial pressure of the system was…
• The correct group of halide ions which can be oxidised by oxygen in acidic medium is :
• Given below are two statements related to Ellingham diagram: Statement I : Ellingham…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Given below are two statements : Statement I : SO₂ and H₂ O both possess V-shaped…
• The total number of stereoisomers for the complex [Cr(o x)₂ ClBr]³⁻ (where o x= oxalate)…
• In the wet tests for detection of various cations by precipitation, Ba²⁺ cations are…
• Sodium metal crystallizes in a body centred cubic lattice with unit cell edge length of…
• At 298 K, the standard reduction potential for Cu²⁺ / Cu electrode is 0.34 V. Given…
• Match List I with List II 1 - Bromopropane is reacted with reagents in List I to give…
• If the formula of Borax is Na₂B₄Oₓ(OH)_y . zH₂O, then x+y+z= ___________
• Better method for preparation of BeF₂, among the following is :
• See the following chemical reaction: Cr₂ O₇²⁻+XH⁺+6 Fₑ²⁺ → YCr³⁺+6 Fₑ³⁺+Z H₂ O The sum…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Sea water contains 29.25 % NaCl and 19 % MgCl₂ by weight of solution. The normal boiling…
• 1 g of a carbonate (M₂ CO₃) on treatment with excess HCl produces 0.01 mol of CO₂. The…
• Which of the following complexes will exhibit maximum attraction to an applied magnetic…
• Given below are two statements, one is labelled as Assertion A and the other is labelled…
• Compound A from the following reaction sequence is:
• Match List I with List II LIST I | LIST II; A. | Weak intermolecular forces of…

Mathematics

• The area of the region {(x,y):x²≤ y≤ |x²-4|,y≥ 1} is
• If y=y(x) is the solution of the differential equation (d y)/(d x)+(4 x)/(x²-1)…
• The plane, passing through the points (0,-1,2) and (-1,2,1) and parallel to the line…
• The line, that is coplanar to the line (x+3)/-3=(y-1)/1=(z-5)/5, is :
• The random variable X follows binomial distribution B(n, p), for which the difference of…
• All words, with or without meaning, are made using all the letters of the word MONDAY…
• The mean and standard deviation of the marks of 10 students were found to be 50 and 12…
• The coefficient of x⁵ in the expansion of (2 x³-1/(3 x²))⁵ is :
• Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the…
• Let N be the foot of perpendicular from the point P(1,-2,3) on the line passing through…
• If the system of equations 2 x+y-z=5 2 x-5 y+λ z=μ x+2 y-5 z=7 has infinitely many…
• Let for A = [ 1, 2, 3; α, 3, 1; 1, 1, 2 ],|A| = 2. If |2 adj (2 adj (2A))| = 32ⁿ, then…
• For x ∈(-1,1], the number of solutions of the equation sin ⁻¹ x=2 tan ⁻¹ x is equal to…
• Let (α,β) be the centroid of the triangle formed by the lines 15x-y=82,6x-5y=-4 and…
• The range of f(x)=4 sin ⁻¹(x²/(x²+1)) is
• Let f(x)=Σk=1¹⁰ k xᵏ, x ∈ ℝ. If 2 f(2)+f′(2)=119(2)ⁿ+1 then n is equal to ___________
• Let a₁, a₂, a₃, .... be a G.P. of increasing positive numbers. Let the sum of its 6ᵗʰ…
• Let the centre of a circle C be (α, β) and its radius r < 8. Let 3 x+4 y=24 and 3 x-4…
• The remainder, when 7¹⁰³ is divided by 17, is __________
• If lim x → 0 (eᵃˣ-cos (b x)-(cx e⁻ᶜˣ)/2)/(1-cos (2 x))=17, then 5 a²+b² is equal to
• Let α, β be the roots of the equation x²-√2 x+2=0. Then α¹⁴+β¹⁴ is equal to
• Let S={z ∈ ℂ: z̄=i(z²+Re(z̄))}. Then Σz ∈ S|z|² is equal to :
• Let |a⃗|=2,|b⃗|=3 and the angle between the vectors a⃗ and b⃗ be π/4. Then |(a⃗+2 b⃗)…
• The foci of a hyperbola are ( ± 2,0) and its eccentricity is 3/2. A tangent…
• Let for a triangle ABC, AB⃗=-2 î+ĵ+3 k̂ CB⃗=α î+β ĵ+γ k̂ CA⃗=4 î+3 ĵ+δ k̂ If δ > 0 and…
• The value of (e^(- π/4) + ∫₀^(π/4) e⁻ˣtan ⁵⁰xdx)/(∫₀^(π/4) e⁻ˣ(tan ⁴⁹x + tan ⁵¹x)dx) is
• Let fₙ=∫0^(π/2)(Σk=1ⁿ sin ᵏ⁻¹ x)(Σk=1ⁿ(2 k-1) sin ᵏ⁻¹ x) cos x d x, n ∈ ℕ. Then f₂₁-f₂₀…
• Let A={-4,-3,-2,0,1,3,4} and R={(a, b) ∈ A × A: b=|a| or b²=a+1} be a relation on A…
• Let [α] denote the greatest integer ≤ α. Then [√1]+[√2]+[√3]+…+[√120] is equal to…

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