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

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Physics

• The acceleration due to gravity at height h above the earth if h << R (Radius of earth)…
• The orbital angular momentum of a satellite is L, when it is revolving in a circular…
• An emf of 0.08 V is induced in a metal rod of length 10 cm held normal to a uniform…
• In photo electric effect A. The photocurrent is proportional to the intensity of the…
• Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical…
• The trajectory of projectile, projected from the ground is given by y=x-x²/20. Where x…
• A bullet of mass 0.1 kg moving horizontally with speed 400 ms⁻¹ hits a wooden block of…
• A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply…
• The equivalent resistance between A and B as shown in figure is:
• A radio active material is reduced to 1 / 8 of its original amount in 3 days. If 8 ×…
• A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The…
• For a given transistor amplifier circuit in CE configuration V_(CC)=1 V, R_C=1 k Ω…
• Electric potential at a point 'P' due to a point charge of 5 × 10⁻⁹ C is 50 V. The…
• Work done by a Carnot engine operating between temperatures 127° C and 27° C is 2 kJ…
• The width of fringe is 2 mm on the screen in a double slits experiment for the light of…
• The waves emitted when a metal target is bombarded with high energy electrons are
• A body of mass 5 kg is moving with a momentum of 10 kg ms⁻¹. Now a force of 2 N acts on…
• The ratio of magnetic field at the centre of a current carrying coil of radius r to the…
• Given below are two statements Statement I : Area under velocity- time graph gives the…
• A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of…
• A steel rod of length 1 m and cross sectional area 10⁻⁴ m² is heated from 0° C to 200° C…
• Match List I with List II LIST I | LIST II; A. | Torque | I. | ML⁻²T⁻²; B. | Stress |…
• A series combination of resistor of resistance 100 Ω, inductor of inductance 1 H and…
• For particle P revolving round the centre O with radius of circular path r and angular…
• The temperature at which the kinetic energy of oxygen molecules becomes double than its…
• A hollow spherical ball of uniform density rolls up a curved surface with an initial…
• The ratio of wavelength of spectral lines H_α and H_β in the Balmer series is x/20. The…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• The number density of free electrons in copper is nearly 8 × 10²⁸ m⁻³. A copper wire has…

Chemistry

• Match List I with List II LIST I Coordination Complex | LIST II Number of unpaired…
• The correct IUPAC nomenclature for the following compound is:
• If the boiling points of two solvents X and Y (having same molecular weights) are in the…
• Henry Moseley studied characteristic X-ray spectra of elements. The graph which…
• The number of incorrect statements from the following is ___________. A. The electrical…
• Given below are two statements: Statement I : In redox titration, the indicators used…
• The correct order of reactivity of following haloarenes towards nucleophilic…
• The sum of oxidation state of the metals in Fe(CO)₅, VO²⁺ and WO₃ is ___________.
• In Hall - Heroult process, the following is used for reducing Al₂ O₃ :-
• The number of atomic orbitals from the following having 5 radial nodes is ___________. 7…
• Given below are two statements: Statement I : Methyl orange is a weak acid. Statement II…
• The ratio of sigma and π bonds present in pyrophosphoric acid is ___________.
• The statement/s which are true about antagonists from the following is/are: A. They bind…
• The product (P) formed from the following multistep reaction is:
• For a good quality cement, the ratio of lime to the total of the oxides of Si, Al and Fe…
• Which of the following have same number of significant figures? A. 0.00253 B. 1.0003 C…
• The solubility product of BaSO₄ is 1 × 10⁻¹⁰ at 298 K. The solubility of BaSO₄ in 0.1 M…
• Coagulating value of the electrolytes AlCl₃ and NaCl for As₂ S₃ are 0.09 and 50.04…
• Which of the following can reduce decomposition of H₂ O₂ on exposure to light :
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• Match List I with List II LIST I Natural amino acid | LIST II One letter code; A. |…
• The descending order of acidity for the following carboxylic acid is- A. CH₃COOH B…
• The correct reaction profile diagram for a positive catalyst reaction.
• A compound 'X' when treated with phthalic anhydride in presence of concentrated H₂SO₄…
• The observed magnetic moment of the complex [Mn(N C S)₆)]^(x⁻) is 6.06 BM. The numerical…
• For complete combustion of ethene. C₂ H₄(g)+3 O₂(g) → 2 CO₂(g)+2 H₂ O(l) the amount of…
• The number of species from the following carrying a single lone pair on central atom…

Mathematics

• The integral ∫ [(x/2)ˣ+(2/x)ˣ]ln (ex/2)dx is equal to :
• Let the solution curve x=x(y), 0 < y < π/2, of the differential equation (log ₑ(cos y))²…
• Let A={θ ∈(0,2 π): (1+2 i sin θ)/(1-i sin θ) is purely imaginary }. Then the sum of the…
• The area of the quadrilateral ABCD with vertices A(2,1,1), B(1,2,5), C(-2,-3,5) and…
• Let [t] denote the greatest integer function. If ∫0^(2.4)[x²] d x=α+β √2+γ √3+δ √5, then…
• If the number of words, with or without meaning, which can be made using all the letters…
• If A=[1, 5; λ, 10], A⁻¹=α A+β I and α+β=-2, then 4 α²+β²+λ² is equal to :
• Let O be the origin and OP and OQ be the tangents to the circle x²+y²-6x+4y+8=0 at the…
• Let P be the plane passing through the line (x-1)/1=(y-2)/-3=(z+5)/7 and the point…
• The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=-3…
• Let P₁ be the plane 3 x-y-7 z=11 and P₂ be the plane passing through the points…
• 25¹⁹⁰-19¹⁹⁰-8¹⁹⁰+2¹⁹⁰ is divisible by :
• For a, b ∈ ℤ and |a-b| ≤ 10, let the angle between the plane P: ax+y-z=b and the line l…
• Let aₙ be the nᵗʰ term of the series 5+8+14+23+35+50+… and Sₙ=Σk=1ⁿ aₖ. Then S₃₀-a₄₀ is…
• If domain of the function log ₑ((6 x²+5 x+1)/(2 x-1))+cos ⁻¹((2 x²-3 x+4)/(3 x-5)) is…
• Let A(0,1), B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre…
• If α > β > 0 are the roots of the equation a x²+b x+1=0, and lim x → 1/α((1-cos (x²+b…
• Let 0 < z < y < x be three real numbers such that 1/x, 1/y, 1/z are in an arithmetic…
• Let the area enclosed by the lines x+y=2,y=0,x=0 and the curve f(x)=min{x²+3/4,1+[x]}…
• Let S be the set of all values of θ ∈[-π, π] for which the system of linear equations…
• Let A={1,2,3,4,5,6,7}. Then the relation R={(x, y) ∈ A × A: x+y=7} is :
• Let R={a, b, c, d, e} and S={1,2,3,4}. Total number of onto functions f: R → S such that…
• Let k and m be positive real numbers such that the function f(x)={3 x²+k √(x+1),, 0 < x…
• Let the vectors u⃗₁=î+ĵ+a k̂, u⃗₂=î+b ĵ+k̂ and u⃗₃=c î+ĵ+k̂ be coplanar. If the vectors…
• Let m and n be the numbers of real roots of the quadratic equations x²-12 x+[x]+31=0 and…
• Let the mean and variance of 12 observations be 9/2 and 4 respectively. Later on, it was…
• The absolute difference of the coefficients of x¹⁰ and x⁷ in the expansion of (2 x²+1/(2…
• If the probability that the random variable X takes values x is given by P(X=x)=k(x+1)…
• The value of 36(4 cos² 9°-1)(4 cos² 27°-1)(4 cos² 81°-1)(4 cos² 243°-1) is :

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