JEE Main 2023 (Online) 10th April Evening Shift — Question Paper

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Physics

• For a periodic motion represented by the equation y=sin ω t+cos ω t the amplitude of the…
• If the maximum load carried by an elevator is 1400 kg ( 600 kg - Passengers + 800 kg -…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• In an experiment with vernier callipers of least count 0.1 mm, when two jaws are joined…
• If 917 Aᵒ be the lowest wavelength of Lyman series then the lowest wavelength of Balmer…
• A person travels x distance with velocity v₁ and then x distance with velocity v₂ in the…
• Given below are two statements: Statement I : For diamagnetic substance, -1 ≤ χ < 0…
• If each diode has a forward bias resistance of 25 Ω in the below circuit, Which of the…
• Given below are two statements: Statement I : Rotation of the earth shows effect on the…
• A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple…
• In a metallic conductor, under the effect of applied electric field, the free electrons…
• Two projectiles are projected at 30° and 60° with the horizontal with the same speed…
• A square loop of side 2.0 cm is placed inside a long solenoid that has 50 turns per…
• The time period of a satellite, revolving above earth's surface at a height equal to R…
• An electron revolves around an infinite cylindrical wire having uniform linear charge…
• A rectangular parallelopiped is measured as 1 cm × 1 cm × 100 cm. If its specific…
• The half life of a radioactive substance is T. The time taken, for disintegrating 7/8th…
• The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is…
• A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses L₁…
• Figure below shows a liquid being pushed out of the tube by a piston having area of…
• The ratio of intensities at two points P and Q on the screen in a Young's double slit…
• A force of -P k̂ acts on the origin of the coordinate system. The torque about the point…
• Young's moduli of the material of wires A and B are in the ratio of 1: 4, while its area…
• The variation of stopping potential (V₀) as a function of the frequency (v) of the…
• A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T…
• A bar magnet is released from rest along the axis of a very long vertical copper tube…
• A straight wire carrying a current of 14 A is bent into a semi-circular arc of radius…
• The distance between two plates of a capacitor is d and its capacitance is C₁, when air…
• A gas is compressed adiabatically, which one of the following statement is NOT true.

Chemistry

• Ferric chloride is applied to stop bleeding because -
• In alkaline medium, the reduction of permanganate anion involves a gain of __________…
• The electron in the nᵗʰ orbit of Li²⁺ is excited to (n+1) orbit using the radiation of…
• Match List I with List II List - I | List - II (Δ₀); A. | 16 g of CH₄ (g) | I. | Weighs…
• Gibbs energy vs T plot for the formation of oxides is given below. For the given…
• For a metal ion, the calculated magnetic moment is 4.90 BM. This metal ion has…
• A(g)⇌ 2 B(g)+C(g) For the given reaction, if the initial pressure is 450 mm Hg and the…
• The specific conductance of 0.0025 M acetic acid is 5 × 10⁻⁵ S cm⁻¹ at a certain…
• Match List I with List II List - I Complex | List - II Crystal Field splitting energy…
• An aqueous solution of volume 300 cm³ contains 0.63 g of protein. The osmotic pressure…
• Buna-S can be represented as:
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• The correct order of metallic character is :
• In the reaction given below: The product 'X' is:
• The reaction used for preparation of soap from fat is :
• In Carius tube, an organic compound 'X' is treated with sodium peroxide to form a…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• The correct order of the number of unpaired electrons in the given complexes is A…
• The number of incorrect statement/s from the following is ___________ A. The successive…
• The major product 'P' formed in the given reaction is:
• The number of molecules from the following which contain only two lone pair of electrons…
• The correct relationships between unit cell edge length 'a' and radius of sphere 'r' for…
• The difference in the oxidation state of Xe between the oxidised product of Xe formed on…
• Number of water molecules in washing soda and soda ash respectively are :
• Incorrect method of preparation for alcohols from the following is:
• The decreasing order of hydride affinity for following carbocations is: Choose the…
• The number of endothermic process/es from the following is ______________. A. I₂( g) → 2…
• The correct order for acidity of the following hydroxyl compound is : A. CH₃ OH B…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…

Mathematics

• If the area of the region {(x,y):|x²-2|≤ y≤ x} is A, then 6A+16√2 is equal to __________.
• Let f be a continuous function satisfying ∫0^(t²)(f(x)+x²) d x=4/3 t³, ∀ t > 0. Then…
• If the points P and Q are respectively the circumcenter and the orthocentre of a △ ABC…
• Let S be the set of values of λ, for which the system of equations 6 λ x-3 y+3 z=4 λ², 2…
• If the domain of the function f(x)=sec ⁻¹((2 x)/(5 x+3)) is [α, β) U(γ, δ], then |3…
• Let the tangent at any point P on a curve passing through the points (1, 1) and (1/10…
• The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3…
• Let g(x)=f(x)+f(1-x) and f^(′ ′)(x) > 0, x ∈(0,1). If g is decreasing in the interval…
• If Sₙ=4+11+21+34+50+… to n terms, then 1/60( S₂₉-S₉) is equal to :
• Eight persons are to be transported from city A to city B in three cars of different…
• Let a circle of radius 4 be concentric to the ellipse 15 x²+19 y²=285. Then the common…
• Let the number (22)²⁰²²+(2022)²² leave the remainder α when divided by 3 and β when…
• Let A={2,3,4} and B={8,9,12}. Then the number of elements in the relation R={((a₁…
• If the coefficients of x and x² in (1+x)ᵖ(1-x)^q are 4 and -5 respectively, then 2 p+3 q…
• Let a⃗=2 î+7 ĵ-k̂, b⃗=3 î+5 k̂ and c⃗=î-ĵ+2 k̂. Let d⃗ be a vector which is…
• Let μ be the mean and σ be the standard deviation of the distribution xᵢ | 0 | 1 | 2 | 3…
• Suppose a₁, a₂, 2, a₃, a₄ be in an arithmetico-geometric progression. If the common…
• Let the foot of perpendicular from the point A(4,3,1) on the plane P: x-y+2 z+3=0 be N…
• Let the quadratic curve passing through the point (-1,0) and touching the line y=x at…
• For α,β,γ,δ∈ ℕ, if ∫ ((x/e)²ˣ+(e/x)²ˣ)logₑ xdx=1/α(x/e)^(β x)-1/γ(e/x)^(δ x)+C , where…
• Let the equations of two adjacent sides of a parallelogram ABCD be 2x-3y=-23 and…
• Let S = { z = x + iy:(2z - 3i)/(4z + 2i) is a real number }. Then which of the following…
• Let the image of the point P(1,2,6) in the plane passing through the points A(1,2,0)…
• Let A be the point (1,2) and B be any point on the curve x²+y²=16. If the centre of the…
• Let a die be rolled n times. Let the probability of getting odd numbers seven times be…
• If A=1/(5 ! 6 ! 7 !)[5 !, 6 !, 7 !; 6 !, 7 !, 8 !; 7 !, 8 !, 9 !], then |adj(adj(2 A))|…
• Let the line x/1=(6-y)/2=(z+8)/5 intersect the lines (x-5)/4=(y-7)/3=(z+2)/1 and…
• Let S={x ∈(-π/2, π/2): 9^(1-tan ² x)+9^(tan ² x)=10} and β=Σx ∈ S tan ²(x/3), then…

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