JEE Main 2023 (Online) 1st February Morning Shift — Question Paper

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Physics

• A charge particle of 2 μ C accelerated by a potential difference of 100 V enters a…
• A child stands on the edge of the cliff 10 m above the ground and throws a stone…
• The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic…
• The mass of proton, neutron and helium nucleus are respectively 1.0073 u,1.0087 u and…
• In an experiment to find emf of a cell using potentiometer, the length of null point for…
• A solid cylinder is released from rest from the top of an inclined plane of inclination…
• Let σ be the uniform surface charge density of two infinite thin plane sheets shown in…
• Match List I with List II : List I | List II; A. | Microwaves | I. | Radio active decay…
• Match List I with List II: List I | List II; A. | Intrinsic semiconductor | I. |…
• The average kinetic energy of a molecule of the gas is
• A series LCR circuit is connected to an ac source of 220 V, 50 Hz. The circuit contain a…
• A small particle moves to position 5 î-2 ĵ+k̂ from its initial position 2 î+3 ĵ-4 k̂…
• Two equal positive point charges are separated by a distance 2 a. The distance of a…
• Match List - I with List - II : List I | List II; A. | AC generator | I. | Presence of…
• A steel wire with mass per unit length 7.0 × 10⁻³ kg m⁻¹ is under tension of 70 N. The…
• A proton moving with one tenth of velocity of light has a certain de Broglie wavelength…
• A sample of gas at temperature T is adiabatically expanded to double its volume. The…
• A light of energy 12.75 eV is incident on a hydrogen atom in its ground state. The atom…
• A block of mass 5 kg is placed at rest on a table of rough surface. Now, if a force of…
• Find the magnetic field at the point P in figure. The curved portion is a semicircle…
• The equivalent resistance between A and B of the network shown in figure;
• A certain pressure 'P' is applied to 1 litre of water and 2 litre of a liquid…
• A mercury drop of radius 10⁻³ m is broken into 125 equal size droplets. Surface tension…
• If earth has a mass nine times and radius twice to that of a planet P. Then vₑ/3 √x ms⁻¹…
• Given below are two statements: Statement I: Acceleration due to gravity is different at…
• An object moves with speed v₁,v₂ and v₃ along a line segment AB, BC and CD respectively…
• (P+a/V²)(V-b)=R T represents the equation of state of some gases. Where P is the…
• 'n' polarizing sheets are arranged such that each makes an angle 45° with the preceeding…
• A thin cylindrical rod of length 10 cm is placed horizontally on the principle axis of a…

Chemistry

• In the following reaction, 'A' is
• Match List I with List II : List I | List II; A. | Slaked lime | I. | NaOH; B. | Dead…
• Sum of oxidation states of bromine in bromic acid and perbromic acid is ___________.
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• The density of 3 M solution of NaCl is 1.0 g mL⁻¹. Molality of the solution is…
• Highest oxidation state of Mn is exhibited in Mn₂O₇. The correct statements about Mn₂O₇…
• Match List I with List II List I | List II; Test | Functional group / Class of Compound…
• Resonance in carbonate ion (CO₃²⁻) is Which of the following is true?
• Which of the following are the example of double salt? A. FeSO₄ ·(NH₄)₂ SO₄ · 6 H₂ O B…
• 25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M AgNO₃ solution…
• Which of the following represents the lattice structure of A_(0.95)O containing A²⁺,A³⁺…
• A and B are two substances undergoing radioactive decay in a container. The half life of…
• Decreasing order of dehydration of the following alcohols is
• But-2-yne is reacted separately with one mole of Hydrogen as shown below : B ←(Na)…
• Which of the following complex will show largest splitting of d-orbitals?
• At what pH, given half cell MnO₄⁻(0.1 M) | Mn²⁺(0.001 M) will have electrode potential…
• Match List I with List II List I | List II; A. | Tranquilizers | I. | Anti blood…
• (i) X(g)⇌ Y(g)+Z(g) Kₚ₁=3 (ii) A(g)⇌ 2 B(g) Kₚ₂=1 If the degree of dissociation and…
• Given below are two statements: Statement I : Chlorine can easily combine with oxygen to…
• At 25° C, the enthalpy of the following processes are given : H₂(g)+O₂(g) | → | 2OH(g) |…
• Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s⁻¹. The…
• Given below are two statements: One is labelled as Assertion A and the other is labelled…
• Given below are two statements : one is labelled as Assertion A and the other is…
• Choose the correct statement(s) : A. Beryllium oxide is purely acidic in nature. B…
• A solution of FeCl₃ when treated with K₄[Fe(CN)₆] gives a prussium blue precipitate due…

Mathematics

• The value of 1/(1 ! 50 !)+1/(3 ! 48 !)+1/(5 ! 46 !)+… .+1/(49 ! 2 !)+1/(51 ! 1 !) is :
• Let S be the set of all solutions of the equation cos ⁻¹(2 x)-2 cos ⁻¹(√(1-x²))=π, x…
• Let A be the area bounded by the curve y=x|x-3|, the x-axis and the ordinates x=-1 and…
• A(2,6,2), B(-4,0, λ), C(2,3,-1) and D(4,5,0),|λ| ≤ 5 are the vertices of a quadrilateral…
• In a binomial distribution B(n,p), the sum and the product of the mean and the variance…
• If y=y(x) is the solution curve of the differential equation (d y)/(d x)+y tan x=x sec…
• Let the image of the point P(2,-1,3) in the plane x+2 y-z=0 be Q. Then the distance of…
• Let f: ℝ → ℝ be a differentiable function such that f′(x)+f(x)=∫0² f(t) d t. If…
• Let R be a relation on ℝ, given by R={(a, b): 3 a-3 b+√7 is an irrational number }. Then…
• The remainder, when 19²⁰⁰+23²⁰⁰ is divided by 49 , is ___________.
• Let f(x) = 2x + tan ⁻¹x and g(x) = log ₑ(√(1 + x²) + x),x ∈ [0,3]. Then
• Let S denote the set of all real values of λ such that the system of equations λ x+y+z=1…
• The shortest distance between the lines (x - 5)/1 = (y - 2)/2 = (z - 4)/(- 3) and (x +…
• The area enclosed by the closed curve C given by the differential equation (d y)/(d…
• The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are…
• Let f(x) = | 1 + sin ²x, cos ²x, sin 2x; sin ²x, 1 + cos ²x, sin 2x; sin ²x, cos ²x, 1 +…
• If ∫0¹(x²¹+x¹⁴+x⁷)(2 x¹⁴+3 x⁷+6)^(1 / 7) d x=1/l(11)^(m / n) where l, m, n ∈ ℕ, m and n…
• If f(x)=x²+g′(1) x+g^(′ ′)(2) and g(x)=f(1) x²+x f′(x)+f^(′ ′)(x), then the value of…
• If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is…
• If the center and radius of the circle | (z - 2)/(z - 3) | = 2 are respectively (α,β)…
• Let S = { x:x ∈ ℝ and (√3 + √2 )^(x² - 4) + (√3 - √2 )^(x² - 4) = 10 }. Then n(S) is…
• The sum of 10 terms of the series 1/(1 + 1² + 1⁴) + 2/(1 + 2² + 2⁴) + 3/(1 + 3² + 3⁴) +…
• The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by…
• Let a₁=8, a₂, a₃, …, aₙ be an A.P. If the sum of its first four terms is 50 and the sum…
• lim _(n → ∞) [ 1/(1 + n) + 1/(2 + n) + 1/(3 + n) + ... + 1/2n ] is equal to
• Let v⃗=α î+2 ĵ-3 k̂, w⃗=2 α î+ĵ-k̂ and u⃗ be a vector such that |u⃗|=α>0. If the minimum…
• The number of words, with or without meaning, that can be formed using all the letters…

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