JEE Main 2023 (Online) 1st February Evening Shift — Question Paper

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Physics

• A Carnot engine operating between two reservoirs has efficiency 1/3. When the…
• Given below are two statements : One is labelled as Assertion A and the other is…
• A cubical volume is bounded by the surfaces x=0, x=a, y=0, y=a, z=0, z=a. The electric…
• Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave…
• The Young's modulus of a steel wire of length 6 m and cross-sectional area 3 mm², is 2 ×…
• In the given circuit, the value of | (I₁ + I₃)/I₂ | is _____________
• A square shaped coil of area 70 cm² having 600 turns rotates in a magnetic field of 0.4…
• Given below are two statements: One is labeled as Assertion A and the other is labeled…
• Choose the correct length (L) versus square of the time period (T²) graph for a simple…
• A force F=(5+3 y²) acts on a particle in the y-direction, where F is in newton and y is…
• Equivalent resistance between the adjacent corners of a regular n-sided polygon of…
• The surface of water in a water tank of cross section area 750 cm² on the top of a house…
• As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by…
• The ratio of average electric energy density and total average energy density of…
• Nucleus A having Z=17 and equal number of protons and neutrons has 1.2 MeV binding…
• The threshold frequency of a metal is f₀. When the light of frequency 2 f₀ is incident…
• As shown in the figure, in Young's double slit experiment, a thin plate of thickness…
• A coil is placed in magnetic field such that plane of coil is perpendicular to the…
• For a train engine moving with speed of 20 ms⁻¹, the driver must apply brakes at a…
• As shown in the figure, a long straight conductor with semicircular arc of radius π/10m…
• An electron of a hydrogen like atom, having Z=4, jumps from 4ᵗʰ energy state to 2ⁿᵈ…
• The escape velocities of two planets A and B are in the ratio 1: 2. If the ratio of…
• For a body projected at an angle with the horizontal from the ground, choose the correct…
• For three low density gases A, B, C pressure versus temperature graphs are plotted while…
• Moment of inertia of a disc of mass 'M' and radius 'R' about any of its diameter is (M…
• If the velocity of light c, universal gravitational constant G and Planck's constant h…
• Choose the correct statement about Zener diode :
• Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest…

Chemistry

• The effect of addition of helium gas to the following reaction in equilibrium state, is…
• In figure, a straight line is given for Freundrich Adsorption (y=3x+2.505). The value of…
• All structures given below are of vitamin C. Most stable of them is :
• Testosterone, which is a steroidal hormone, has the following structure. The total…
• A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred…
• For electron gain enthalpies of the elements denoted as Δ_(eg) H, the incorrect option…
• Which element is not present in Nessler's reagent?
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• The molality of a 10 %(v / v) solution of di-bromine solution in CCl₄ (carbon…
• 0.3 g of ethane undergoes combustion at 27° C in a bomb calorimeter. The temperature of…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• The complex cation which has two isomers is :
• Among the following, the number of tranquilizer/s is/are ___________. A…
• The correct order of bond enthalpy (kJ mol⁻¹) is :
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Among following compounds, the number of those present in copper matte is ___________…
• Given below are two statements : Statement I : Sulphanilic acid gives esterification…
• 20 % of acetic acid is dissociated when its 5 g is added to 500 mL of water. The…
• The starting material for convenient preparation of deuterated hydrogen peroxide (D₂O₂)…
• Given below are two statements : one is labelled as Assertion (A) and the other is…
• Which one of the following sets of ions represents a collection of isoelectronic…
• O-O bond length in H₂ O₂ is X than the O-O bond length in F₂ O₂. The O-H bond length in…
• A → B The above reaction is of zero order. Half life of this reaction is 50 min. The…
• The spin only magnetic moment of [Mn(H₂ O)₆]²⁺ complexes is _________ B.M. (Nearest…

Mathematics

• The total number of six digit numbers, formed using the digits 4, 5, 9 only and…
• For the system of linear equations α x+y+z=1,x+α y+z=1,x+y+α z=β, which one of the…
• Two dice are thrown independently. Let A be the event that the number appeared on the…
• The sum of the absolute maximum and minimum values of the function f(x)=|x²-5 x+6|-3 x+2…
• The sum of the common terms of the following three arithmetic progressions. 3,7,11,15, ……
• If y(x)=xˣ,x > 0, then y''(2)-2y'(2) is equal to
• Let the plane P pass through the intersection of the planes 2x+3y-z=2 and x+2y+3z=6, and…
• The line x=8 is the directrix of the ellipse E:x²/a²+y²/b²=1 with the corresponding…
• If A = 1/2[ 1, √3; - √3, 1 ], then :
• The area of the region given by {(x,y):xy≤ 8,1≤ y≤ x²} is :
• Let 9=x₁ < x₂ < … < x₇ be in an A.P. with common difference d. If the standard deviation…
• If the x-intercept of a focal chord of the parabola y²=8x+4y+4 is 3, then the length of…
• The number of integral values of k, for which one root of the equation 2x²-8x+k=0 lies…
• Let a⃗=2 î-7 ĵ+5 k̂, b⃗=î+k̂ and c⃗=î+2 ĵ-3 k̂ be three given vectors. If r⃗ is a vector…
• If ∫₀^π 5ᶜᵒˢˣ(1 + cos x cos 3x + cos ²x + cos ³x cos 3x)dx/(1 + 5ᶜᵒˢˣ) = kπ/16 , then k…
• Let a⃗=5 î-ĵ-3 k̂ and b⃗=î+3 ĵ+5 k̂ be two vectors. Then which one of the following…
• The value of the integral ∫_(- π/4)^(π/4) (x + π/4)/(2 - cos 2x)dx is :
• The point of intersection C of the plane 8 x+y+2 z=0 and the line joining the points…
• Let S = { x ∈ R:0 < x < 1 and 2tan ⁻¹( (1 - x)/(1 + x) ) = cos ⁻¹( (1 - x²)/(1 + x²) )…
• Let α x+β y+γ z=1 be the equation of a plane passing through the point (3,-2,5) and…
• Number of integral solutions to the equation x+y+z=21, where x ≥ 1,y≥3,z≥4, is equal to…
• Let P(x₀, y₀) be the point on the hyperbola 3 x²-4 y²=36, which is nearest to the line 3…
• If the term without x in the expansion of (x^(2/3)+α/x³)²² is 7315 , then |α| is equal…
• Let the sixth term in the binomial expansion of ( √2^(log ₂( 10 - 3ˣ )) + ⁵√2^((x -…
• Let P(S) denote the power set of S={1,2,3, … ., 10}. Define the relations R₁ and R₂ on…
• The sum Σₙ₌₁^∞ (2n² + 3n + 4)/(2n)! is equal to :
• Let a,b be two real numbers such that ab < 0. IF the complex number (1+ai)/(b+i) is of…
• Let f:ℝ-0,1→ ℝ be a function such that f(x)+f(1/(1-x))=1+x. Then f(2) is equal to
• Let α x=exp (x^β y^γ) be the solution of the differential equation 2 x² y d y-(1-x y²) d…

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