JEE Main 2023 (Online) 11th April Morning Shift — Question Paper

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Physics

• The free space inside a current carrying toroid is filled with a material of…
• A coin placed on a rotating table just slips when it is placed at a distance of 1 cm…
• A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with…
• An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g…
• A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms…
• The logic performed by the circuit shown in figure is equivalent to :
• The critical angle for a denser-rarer interface is 45°. The speed of light in rarer…
• As per the given graph, choose the correct representation for curve A and curve B. Where…
• Two radioactive elements A and B initially have same number of atoms. The half life of A…
• The equation of wave is given by Y=10⁻² sin 2 π(160 t-0.5 x+π / 4) where x and Y are in…
• Two identical heater filaments are connected first in parallel and then in series. At…
• A force F⃗=(2+3 x) î acts on a particle in the x direction where F is in newton and x is…
• The magnetic field B crossing normally a square metallic plate of area 4 m² is changing…
• The electric field in an electromagnetic wave is given as E⃗=20 sin ω(t-x/c) j⃗ NC⁻¹…
• Given below are two statements : Statements I : Astronomical unit (Au), Parsec (Pc) and…
• As shown in the figure, a configuration of two equal point charges (q₀=+2 μ C) is placed…
• From the v-t graph shown, the ratio of distance to displacement in 25 s of motion is:
• A metallic surface is illuminated with radiation of wavelength λ, the stopping potential…
• The radius of curvature of each surface of a convex lens having refractive index 1.8 is…
• A projectile fired at 30° to the ground is observed to be at same height at time 3 s and…
• 1 kg of water at 100° C is converted into steam at 100° C by boiling at atmospheric…
• A parallel plate capacitor of capacitance 2 F is charged to a potential V, The energy…
• The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are ρ and ρ /…
• The variation of kinetic energy (KE) of a particle executing simple harmonic motion with…
• In the circuit diagram shown in figure given below, the current flowing through…
• On a temperature scale 'X', the boiling point of water is 65° X and the freezing point…
• Three vessels of equal volume contain gases at the same temperature and pressure. The…
• The current sensitivity of moving coil galvanometer is increased by 25 %. This increase…
• The length of a wire becomes l₁ and l₂ when 100 N and 120 N tensions are applied…

Chemistry

• Thin layer chromatography of a mixture shows the following observation: The correct…
• In the extraction process of copper, the product obtained after carrying out the…
• 25 mL of silver nitrate solution (1M) is added dropwise to 25 mL of potassium iodide…
• The polymer X - consists of linear molecules and is closely packed. It is prepared in…
• Which of the following complex has a possibility to exist as meridional isomer?
• An atomic substance A of molar mass 12 g mol⁻¹ has a cubic crystal structure with edge…
• For compound having the formula GaAlCl₄, the correct option from the following is :
• For elements B, C, N, Li, Be, O and F, the correct order of first ionization enthalpy is
• A solution of sugar is obtained by mixing 200 g of its 25 % solution and 500 g of its 40…
• In an electrochemical reaction of lead, at standard temperature, if E⁰( Pb²⁺ / Pb)=m…
• Match List-I with List-II: List - I | List - II; A. | K | I. | Thermonuclear reactions…
• Match List - I with List - II: List - I Species | List - II Geometry/Shape; A. | H₃O⁺ |…
• Solid fuel used in rocket is a mixture of Fe₂ O₃ and Al (in ratio 1 : 2). The heat…
• 0.004 M K₂SO₄ solution is isotonic with 0.01 M glucose solution. Percentage dissociation…
• Given below are two statements: Statement-I : Methane and steam passed over a heated Ni…
• KClO₃+6 FeSO₄+3 H₂ SO₄ → KCl+3 Fe₂(SO₄)₃+3 H₂ O The above reaction was studied at 300 K…
• When a solution of mixture having two inorganic salts was treated with freshly prepared…
• Given below are two statements : one is labelled as Assertion A and the other is…
• A mixture of 1 mole of H₂O and 1 mole of CO is taken in a 10 litre container and heated…
• o-Phenylenediamine →(HNO₂) `X' 'X' is
• Arrange the following compounds in increasing order of rate of aromatic electrophilic…
• The set which does not have ambidentate ligand(s) is :
• The complex that dissolves in water is :
• L-isomer of tetrose X(C₄ H₈ O₄) gives positive Schiff's test and has two chiral carbons…
• The ratio of spin-only magnetic moment values μ_(eff)[Cr(CN)₆]³⁻ / μ_(eff)[Cr(H₂ O)₆]³⁺…

Mathematics

• The number of triplets (x, y, z), where x, y, z are distinct non negative integers…
• Let A=[0, 1, 2; a, 0, 3; 1, c, 0], where a, c ∈ ℝ. If A³=A and the positive value of a…
• Let y=y(x) be a solution curve of the differential equation. (1-x² y²) d x=y d x+x d y…
• Consider ellipses Eₖ: k x²+k² y²=1, k=1,2, …, 20. Let Cₖ be the circle which touches the…
• Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5…
• Let R be a rectangle given by the lines x=0, x=2, y=0 and y=5. Let A(α,0) and…
• The number of elements in the set S={θ ∈[0,2 π]: 3 cos ⁴ θ-5 cos ² θ-2 sin ⁶ θ+2=0} is :
• Let a line l pass through the origin and be perpendicular to the lines l₁: r⃗=(î-11 ĵ-7…
• Area of the region {(x,y):x²+(y-2)²≤ 4,x²≥ 2y} is
• The number of integral terms in the expansion of (3^(1/2)+5^(1/4))⁶⁸⁰ is equal to…
• The value of the integral ∫-log ₑ 2^(log ₑ 2) eˣ(log ₑ(eˣ+√(1+e²ˣ))) d x is equal to :
• Let A be a 2 × 2 matrix with real entries such that A'=α A+I, where α ∈ ℝ-{-1,1}. If…
• Let Hₙ: x²/(1+n)-y²/(3+n)=1, n ∈ N. Let k be the smallest even value of n such that the…
• Let f(x)=[x²-x]+|-x+[x]|, where x ∈ ℝ and [t] denotes the greatest integer less than or…
• Let w₁ be the point obtained by the rotation of z₁=5+4 i about the origin through a…
• Let S={M=[aᵢⱼ], aᵢⱼ ∈{0,1,2}, 1 ≤ i, j ≤ 2} be a sample space and A={M ∈ S: M is…
• For any vector a⃗=a₁ î+a₂ ĵ+a₃ k̂, with 10|aᵢ|<1, i=1,2,3, consider the following…
• For m, n > 0, let α(m, n)=∫0² tᵐ(1+3 t)ⁿ d t. If 11 α(10,6)+18 α(11,5)=p(14)⁶, then p is…
• If a and b are the roots of the equation x²-7 x-1=0, then the value of…
• If equation of the plane that contains the point (-2,3,5) and is perpendicular to each…
• Let (α, β, γ) be the image of the point P(2,3,5) in the plane 2 x+y-3 z=6. Then α+β+γ is…
• Let a⃗ be a non-zero vector parallel to the line of intersection of the two planes…
• Let x₁, x₂, …, x₁₀₀ be in an arithmetic progression, with x₁=2 and their mean equal to…
• In an examination, 5 students have been allotted their seats as per their roll numbers…
• The mean of the coefficients of x, x², …, x⁷ in the binomial expansion of (2+x)⁹ is…
• An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If…
• Let S=109+108/5+107/5²+… .+2/5¹⁰⁷+1/5¹⁰⁸. Then the value of (16 S-(25)⁻⁵⁴) is equal to…
• Let f:[2,4] → ℝ be a differentiable function such that (x log ₑ x) f′(x)+(log ₑ x)…

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