JEE Main 2023 (Online) 8th April Morning Shift — Question Paper

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Physics

• A nucleus with mass number 242 and binding energy per nucleon as 7.6 MeV breaks into two…
• Dimension of 1/(μ₀∈₀) should be equal to
• The magnetic intensity at the center of a long current carrying solenoid is found to be…
• A charge particle moving in magnetic field B, has the components of velocity along B as…
• A current of 2 A flows through a wire of cross-sectional area 25.0 mm². The number of…
• Given below are two statements: Statement I: If E be the total energy of a satellite…
• An oscillating LC circuit consists of a 75 mH inductor and a 1.2 μ F capacitor. If the…
• At any instant the velocity of a particle of mass 500 g is (2 t î+3 t² ĵ) ms⁻¹. If the…
• An organ pipe 40 cm long is open at both ends. The speed of sound in air is 360 ms⁻¹…
• Graphical variation of electric field due to a uniformly charged insulating solid sphere…
• An electric dipole of dipole moment is 6.0 × 10⁻⁶ C m placed in a uniform electric field…
• Certain galvanometers have a fixed core made of non magnetic metallic material. The…
• A cylindrical wire of mass (0.4± 0.01)g has length (8± 0.04)cm and radius (6± 0.03)mm…
• Given below are two statements: Statement I: If heat is added to a system, its…
• An air bubble of diameter 6 mm rises steadily through a solution of density 1750 kg / m³…
• In this figure the resistance of the coil of galvanometer G is 2 Ω. The emf of the cell…
• The weight of a body on the earth is 400 N. Then weight of the body when taken to a…
• In a reflecting telescope, a secondary mirror is used to:
• Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed…
• For a nucleus _A^A X having mass number A and atomic number Z A. The surface energy per…
• For the logic circuit shown, the output waveform at Y is:
• Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their…
• The moment of inertia of a semicircular ring about an axis, passing through the center…
• Two forces having magnitude A and A/2 are perpendicular to each other. The magnitude of…
• Two projectiles A and B are thrown with initial velocities of 40 m / s and 60 m / s at…
• An aluminium rod with Young's modulus Y=7.0 × 10¹⁰ N / m² undergoes elastic strain of…
• The engine of a train moving with speed 10 ms⁻¹ towards a platform sounds a whistle at…
• An air bubble of volume 1 cm³ rises from the bottom of a lake 40 m deep to the surface…
• The momentum of a body is increased by 50 %. The percentage increase in the kinetic…

Chemistry

• 2 IO₃⁻+x I⁻+12 H⁺ → 6 I₂+6 H₂ O What is the value of x ?
• 0.5 g of an organic compound (X) with 60 % carbon will produce __________ × 10⁻¹ g of…
• The correct order of electronegativity for given elements is:
• The number of following factors which affect the percent covalent character of the ionic…
• Given below are two statements: Statement I : Lithium and Magnesium do not form…
• Choose the halogen which is most reactive towards S_N 1 reaction in the given compounds…
• Which halogen is known to cause the reaction given below : 2 Cu²⁺+4 X⁻ → Cu₂ X₂(s)+X₂
• The reaction 1/2 H₂( g)+AgCl(s) ⇌ H⁺(aq)+Cl⁻(aq)+Ag(s) occurs in which of the given…
• The vapour pressure vs. temperature curve for a solution solvent system is shown below…
• Sulphur (S) containing amino acids from the following are: (a) isoleucine (b) cysteine…
• Which of the following metals can be extracted through alkali leaching technique?
• Match List I with List II: LIST I (Reagent) | LIST II (Product); A. | | I. | ; B. |…
• The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is…
• XeF₄ reacts with SbF₅ to form [XeFₘ]ⁿ⁺[SbF_y]ᶻ⁻. m+n+y+z= __________
• What is the purpose of adding gypsum to cement?
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• Which of the following complex is octahedral, diamagnetic and the most stable?
• The number of following statement/s which is/are incorrect is ___________ (A) Line…
• Match List I with List II: LIST I | LIST II; A. | Saccharin | I. | High potency…
• The correct order of spin only magnetic moments for the following complex ions is
• The water gas on reacting with cobalt as a catalyst forms
• The number of given statement/s which is/are correct is __________. (A) The stronger the…
• In chromyl chloride, the number of d-electrons present on chromium is same as in (Given…
• Which of the following represent the Freundlich adsorption isotherms? Choose the correct…
• Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of O₃ per mole…
• When a 60 W electric heater is immersed in a gas for 100 s in a constant volume…

Mathematics

• lim x → 0(((1-cos ²(3 x)/(cos ³(4 x)))((sin ³(4 x))/(log ₑ(2 x+1))⁵)) is equal to…
• Let P=[√3/2, 1/2; -1/2, √3/2], A=[1, 1; 0, 1] and Q=P A Pᵀ. If Pᵀ Q²⁰⁰⁷ P=[a, b; c, d]…
• The number of ways, in which 5 girls and 7 boys can be seated at a round table so that…
• Let α, β, γ be the three roots of the equation x³+b x+c=0. If β γ=1=-α, then b³+2 c³-3…
• Let λ₁, λ₂ be the values of λ for which the points (5/2, 1, λ) and (-2,0,1) are at equal…
• Let R be the focus of the parabola y²=20 x and the line y=m x+c intersect the parabola…
• Let [t] denote the greatest integer ≤ t. Then 2/π ∫π / 6^(5 π / 6)(8[cosec x]-5[cot x])…
• The shortest distance between the lines (x-4)/4=(y+2)/5=(z+3)/3 and…
• Let C(α,β) be the circumcenter of the triangle formed by the lines 4x+3y=69 4y-3x=17…
• If the solution curve of the differential equation (y-2 log ₑ x) d x+(x log ₑ x²) d y=0…
• Consider a circle C₁: x²+y²-4 x-2 y=α-5. Let its mirror image in the line y=2 x+1 be…
• If a_α is the greatest term in the sequence αₙ=n³/(n⁴+147), n=1,2,3, …, then α is equal…
• Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3…
• Let A=[2, 1, 0; 1, 2, -1; 0, -1, 2]. If |adj(adj(adj 2 A))|=(16)ⁿ, then n is equal to :
• If for z=α+i β,|z+2|=z+4(1+i), then α+β and α β are the roots of the equation :
• The number of arrangements of the letters of the word "INDEPENDENCE" in which all the…
• If the equation of the plane containing the line x+2 y+3 z-4=0=2 x+y-z+5 and…
• Let I(x)=∫ (x+1)/x(1+xeˣ)²dx,x>0. If limI(x)=0, then I(1) is equal to :
• Let the mean and variance of 8 numbers x, y, 10,12,6,12,4,8 be 9 and 9.25 respectively…
• Let A={0,3,4,6,7,8,9,10} and R be the relation defined on A such that R={(x, y) ∈ A × A…
• If the coefficients of three consecutive terms in the expansion of (1+x)ⁿ are in the…
• Let S_K=(1+2+…+K)/K and Σj=1ⁿ Sⱼ²=n/A(B n²+C n+D), where A, B, C, D ∈ ℕ and A has least…
• In a bolt factory, machines A, B and C manufacture respectively 20 %, 30 % and 50 % of…
• The area of the region {(x,y):x²≤ y≤ 8-x²,y≤ 7} is :
• Let a⃗=6 î+9 ĵ+12 k̂, b⃗=α î+11 ĵ-2 k̂ and c⃗ be vectors such that a⃗ × c⃗=a⃗ × b⃗. If…
• If the points with position vectors α î+10 ĵ+13 k̂, 6 î+11 ĵ+11 k̂, 9/2 î+β ĵ-8 k̂ are…
• The largest natural number n such that 3ⁿ divides 66 ! is ___________.
• Let f(x)=(sin x+cos x-√2)/(sin x-cos x), x ∈[0, π]-{π/4}. Then f((7 π)/12) f^(′ ′)((7…
• Let the number of elements in sets A and B be five and two respectively. Then the number…

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