JEE Main 2023 (Online) 15th April Morning Shift — Question Paper

Download this paper as a PDF (16 pages, with answer key)

Physics

• Two identical particles each of mass ' m ' go round a circle of radius a under the…
• In the given circuit, the current (I) through the battery will be
• Given below are two statements: Statement I : The equivalent resistance of resistors in…
• A body is released from a height equal to the radius (R) of the earth. The velocity of…
• Match List I with List II of Electromagnetic waves with corresponding wavelength range…
• An electron in a hydrogen atom revolves around its nucleus with a speed of 6.76 × 10⁶…
• A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal…
• In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to…
• A flask contains Hydrogen and Argon in the ratio 2: 1 by mass. The temperature of the…
• The de Broglie wavelength of an electron having kinetic energy E is λ. If the kinetic…
• There is an air bubble of radius 1.0 mm in a liquid of surface tension 0.075 Nm⁻¹ and…
• For designing a voltmeter of range 50 V and an ammeter of range 10 mA using a…
• The electric field due to a short electric dipole at a large distance (r) from center of…
• The refractive index of a transparent liquid filled in an equilateral hollow prism is…
• The fundamental frequency of vibration of a string stretched between two rigid support…
• In the given figure the total charge stored in the combination of capacitors is 100 μ C…
• A 20 cm long metallic rod is rotated with 210 rpm about an axis normal to the rod…
• A network of four resistances is connected to 9 V battery, as shown in figure. The…
• A block of mass 10 kg is moving along x-axis under the action of force F=5 x N. The work…
• 12 V battery connected to a coil of resistance 6 Ω through a switch, drives a constant…
• The speed of a wave produced in water is given by v=λᵃgᵇρᶜ. Where λ,g and ρ are…
• As per given figure A, B and C are the first, second and third excited energy levels of…
• A wire of length ' L ' and radius ' r ' is clamped rigidly at one end. When the other…
• A thermodynamic system is taken through cyclic process. The total work done in the…
• A single slit of width a is illuminated by a monochromatic light of wavelength 600 nm…
• A vector in x-y plane makes an angle of 30° with y-axis. The magnitude of y-component of…
• The position vector of a particle related to time t is given by r⃗=(10 t î+15 t² ĵ+7 k̂)…
• The position of a particle related to time is given by x=(5 t²-4 t+5) m. The magnitude…
• The half-life of a radioactive nucleus is 5 years. The fraction of the original sample…

Chemistry

• Which of the following expressions is correct in case of a CsCl unit cell (edge length…
• The total number of isoelectronic species from the given set is ___________. O²⁻, F⁻…
• The total change in the oxidation state of manganese involved in the reaction of KMnO₄…
• Which of the following statement is correct for paper chromatography?
• In Chromyl chloride, the oxidation state of chromium is (+) _______________.
• For a good quality cement, the ratio of silica to alumina is found to be :
• Which one of the following is not an example of calcination?
• Given below are two statements : One is labelled as Assertion A and the other is…
• Which of the following statement(s) is/are correct? (A) The pH of 1 × 10⁻⁸ M HCl…
• For a reversible reaction A ⇌ B, the Δ H_(forward reaction) = 20 kJ mol⁻¹. The…
• The vapour pressure of 30 %(w / v) aqueous solution of glucose is __________ mm Hg at…
• The homoleptic and octahedral complex of Co²⁺ and H₂ O has ___________ unpaired…
• The major product formed in the Friedel-Craft acylation of chlorobenzene is
• The complex with highest magnitude of crystal field splitting energy (Δ₀) is :
• The number of correct statements from the following is _______. (A) Conductivity always…
• During water-gas shift reaction
• Match List I with List II : List I - (Monomer) | List II - (Polymer); (A)…
• Given below are two statements: Statement I : According to Bohr's model of hydrogen…
• Consider the following statements: (A) NF₃ molecule has a trigonal planar structure. (B)…
• 20 mL of 0.5 M NaCl is required to coagulate 200 mL of As₂ S₃ solution in 2 hours. The…
• Consider the following sequence of reactions: The product ' B ' is
• Decreasing order of reactivity towards electrophilic substitution for the following…
• The number of P-O-P bonds in H₄ P₂ O₇,(HPO₃)₃ and P₄ O₁₀ are respectively :
• The volume (in mL) of 0.1 M AgNO₃ required for complete precipitation of chloride ions…
• Which is not true for arginine?
• 30.4 kJ of heat is required to melt one mole of sodium chloride and the entropy change…

Mathematics

• If the set {Re((z-z̄+z z̄)/(2-3 z+5 z̄)): z ∈ ℂ, Re(z)=3} is equal to the interval (α…
• Let (a+b x+c x²)¹⁰=Σᵢ₌₀²⁰ pᵢ xⁱ, a, b, c ∈ ℕ. If p₁=20 and p₂=210, then 2(a+b+c) is…
• If the domain of the function f(x)=log ₑ(4 x²+11 x+6)+sin ⁻¹(4 x+3)+cos ⁻¹((10 x+6)/3)…
• Let S be the set of all (λ, μ) for which the vectors λ î-ĵ+k̂, î+2 ĵ+μ k̂ and 3 î-4 ĵ+5…
• Let the foot of perpendicular of the point P(3,-2,-9) on the plane passing through the…
• The number of elements in the set {n ∈ ℕ: 10 ≤ n ≤ 100 and 3ⁿ-3 is a multiple of 7} is…
• Let f(x)=∫ dx/(3+4x²)√(4-3x²),|x|<2/√3. If f(0)=0 and f(1)=1/αβ tan⁻¹(α/β), α,β>0, then…
• Let x=x(y) be the solution of the differential equation 2(y+2) log ₑ(y+2) d x+(x+4-2 log…
• Let the system of linear equations -x+2 y-9 z=7 -x+3 y+7 z=9 -2 x+y+5 z=8 -3 x+y+13 z=λ…
• The total number of three-digit numbers, divisible by 3, which can be formed using the…
• A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls…
• Let the plane P contain the line 2 x+y-z-3=0=5 x-3 y+4 z+9 and be parallel to the line…
• If the sum of the series (1/2-1/3)+(1/2²-1/(2 · 3)+1/3²)+(1/2³-1/(2² · 3)+1/(2 ·…
• The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on…
• Consider the triangles with vertices A(2,1), B(0,0) and C(t, 4), t ∈[0,4]. If the…
• Let A₁ and A₂ be two arithmetic means and G₁, G₂, G₃ be three geometric means of two…
• Let A={1,2,3,4} and R be a relation on the set A × A defined by R={((a, b),(c, d)): 2…
• If (α,β) is the orthocenter of the triangle ABC with vertices A(3,-7),B(-1,2) and…
• If ∫₀¹ 1/(5+2 x-2 x²)(1+e⁽²⁻⁴ˣ⁾) d x=1/α log ₑ((α+1)/β), α, β>0, then α⁴-β⁴ is equal to :
• Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD…
• Let [x] denote the greatest integer function and f(x)=max {1+x+[x], 2+x, x+2[x]}, 0 ≤ x…
• The number of common tangents, to the circles x²+y²-18 x-15 y+131=0 and x²+y²-6 x-6…
• Let the determinant of a square matrix A of order m be m-n, where m and n satisfy 4…
• A person forgets his 4-digit ATM pin code. But he remembers that in the code all the…
• If the area bounded by the curve 2y²=3x, lines x+y=3,y=0 and outside the circle…
• Let S be the set of all values of λ, for which the shortest distance between the lines…
• Let an ellipse with centre (1,0) and latus rectum of length 1/2 have its major axis…
• The number of real roots of the equation x|x|-5|x+2|+6=0, is :

Download all JEE Main 2023 PYQs chapter-wise as free PDFs