Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2023 8 Apr Morning shift Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 20238 Apr, Morning shift

Physics 26Chemistry 20Mathematics 30

Physics

Q51An oscillating LC circuit consists of a 75 ~mH inductor and a 1.2 ~μ F capacitor. If the maximum charge to the capacitor is 2.7 ~μ C. The maximum current in…Electromagnetic Induction and Alternating Currents
Q53A nucleus with mass number 242 and binding energy per nucleon as 7.6~ MeV breaks into two fragment each with mass number 121. If each fragment nucleus has…Atoms and Nuclei
Q54The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is _ _ _ _ _ _%.Rotational Motion
Q56A current of 2 ~A flows through a wire of cross-sectional area 25.0 ~mm². The number of free electrons in a cubic meter are 2.0 × 10²⁸. The drift velocity of…Current Electricity
Q59An electric dipole of dipole moment is 6.0 × 10⁻⁶ ~C m placed in a uniform electric field of 1.5 × 10³ ~NC⁻¹ in such a way that dipole moment is along…Electrostatics
Q65The magnetic intensity at the center of a long current carrying solenoid is found to be 1.6 × 10³ Am⁻¹. If the number of turns is 8 per cm, then the current…Magnetic Effects of Current and Magnetism
Q70An air bubble of diameter 6 ~mm rises steadily through a solution of density 1750 ~kg / m³ at the rate of 0.35 ~cm / s. The co-efficient of viscosity of the…Properties of Solids and Liquids
Q71The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is 1/x MR², where R is the…Rotational Motion
Q76An organ pipe 40 ~cm long is open at both ends. The speed of sound in air is 360 ~ms⁻¹. The frequency of the second harmonic is _ _ _ _ _ H z.Oscillations and Waves
Q6057For a nucleus A ^(A) X having mass number A and atomic number Z A. The surface energy per nucleon (b s)=-a₁ A^(2 / 3). B. The Coulomb contribution to the…Atoms and Nuclei
Q6333A TV transmitting antenna is 98 ~m high and the receiving antenna is at the ground level. If the radius of the earth is 6400 ~km, the surface area covered by…Communication Systems
Q6587Proton (P) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, m p =1849 ~m e):Dual Nature of Matter and Radiation
Q6727Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material isElectromagnetic Induction and Alternating Currents
Q7072In a reflecting telescope, a secondary mirror is used to:Optics
Q7167The weight of a body on the earth is 400 ~N. Then weight of the body when taken to a depth half of the radius of the earth will be:Gravitation
Q7215Given below are two statements: Statement I: If E be the total energy of a satellite moving around the earth, then its potential energy will be E/2. Statement…Gravitation
Q7500Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is done by a system…Thermodynamics
Q7598At any instant the velocity of a particle of mass 500 ~g is (2 t i+3 t² j) ms⁻¹. If the force acting on the particle at t=1 ~s is (i+x j) N. Then the value of…Laws of Motion
Q7719A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will beMagnetic Effects of Current and Magnetism
Q7805Two projectiles A and B are thrown with initial velocities of 40 ~m / s and 60 ~m / s at angles 30^(°) and 60^(°) with the horizontal respectively. The ratio…Kinematics
Q7963An aluminium rod with Young's modulus Y=7.0 × 10¹⁰ ~N / m² undergoes elastic strain of 0.04%. The energy per unit volume stored in the rod in SI unit is:Properties of Solids and Liquids
Q8029An air bubble of volume 1 ~cm³ rises from the bottom of a lake 40 ~m deep to the surface at a temperature of 12^(°) C. The atmospheric pressure is 1 × 10⁵ ~Pa…Properties of Solids and Liquids
Q8273Dimension of 1/(μ₀ ₀) should be equal toUnits and Measurements
Q8314A cylindrical wire of mass (0.4 ± 0.01) g has length (8 ± 0.04) cm and radius (6 ± 0.03) mm. The maximum error in its density will be:Units and Measurements
Q8383Two forces having magnitude A and A/2 are perpendicular to each other. The magnitude of their resultant is:Laws of Motion
Q8535The engine of a train moving with speed 10 ~ms⁻¹ towards a platform sounds a whistle at frequency 400 ~Hz. The frequency heard by a passenger inside the train…Oscillations and Waves

Chemistry

Q4The number of following factors which affect the percent covalent character of the ionic bond is _ _ _ _ _ (A) Polarising power of cation (B) Extent of…Chemical Bonding and Molecular Structure
Q5The number of given statement/s which is/are correct is _ _ _ _ _. (A) The stronger the temperature dependence of the rate constant, the higher is the…Chemical Kinetics
Q13Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of O₃ per mole of (X) and gives one mole each of ethanal and propanone is _ _ _ _ g ~…Hydrocarbons
Q15Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Butan -1- ol has higher boiling point than…Organic Compounds Containing Oxygen
Q16The water gas on reacting with cobalt as a catalyst formsOrganic Compounds Containing Oxygen
Q180.5 ~g of an organic compound (X) with 60% carbon will produce _ _ _ _ _ × 10⁻¹ ~g of CO₂ on complete combustion.Some Basic Concepts in Chemistry
Q19The number of following statement/s which is/are incorrect is _ _ _ _ _ _ (A) Line emission spectra are used to study the electronic structure (B) The…Atomic Structure
Q20When a 60 ~W electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by 5^(°) C…Chemical Thermodynamics
Q216Sulphur (S) containing amino acids from the following are: (a) isoleucine (b) cysteine (c) lysine (d) methionine (e) glutamic acidBiomolecules
Q517Match List I with List II: LIST I LIST II A. Saccharin I. High potency sweetener B. Aspartame II. First artificial sweetening agent C. Alitame III. Stable at…Chemistry in Everyday Life
Q646Which of the following complex is octahedral, diamagnetic and the most stable?Coordination Compounds
Q647The correct order of spin only magnetic moments for the following complex ions isCoordination Compounds
Q788Which halogen is known to cause the reaction given below: 2 Cu²⁺+4 X⁻ → Cu₂ X₂(s)+X₂d- and f-Block Elements
Q897In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of Ti: 22, ~V: 23, Cr: 24, Mn: 25, Fe: 26)d- and f-Block Elements
Q1004The reaction 1/2 H₂(~g)+AgCl(s) H⁺(aq)+Cl⁻(aq)+Ag(s) occurs in which of the given galvanic cell.Redox Reactions and Electrochemistry
Q1104Match List I with List II: LIST I (Species) LIST II (Maximum allowed concentration in ppm in drinking water) A. F^(- I). < 50 ppm B. SO₄²⁻ II. < 5 ppm C…Environmental Chemistry
Q1409Which of the following metals can be extracted through alkali leaching technique?Isolation of Elements
Q1591The correct order of electronegativity for given elements is:Classification of Elements and Periodicity in Properties
Q17872 IO₃⁻+x I⁻+12 H⁺ → 6 I₂+6 H₂ O What is the value of x ?Redox Reactions and Electrochemistry
Q1905Given below are two statements: Statement I: Lithium and Magnesium do not form superoxide Statement II: The ionic radius of Li⁺ is larger than ionic radius of…S Block Elements

Mathematics

Q21Let λ₁, λ₂ be the values of λ for which the points (5/2, 1, λ) and (-2,0,1) are at equal distance from the plane 2 x+3 y-6 z+7=0. If λ₁ > λ₂, then the…Three Dimensional Geometry
Q24If a α is the greatest term in the sequence α n =(n³)/(n⁴+147), n=1,2,3,, then α is equal to _ _ _ _ _ _ _.Limit, Continuity and Differentiability
Q26The largest natural number n such that 3ⁿ divides 66 ! is _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q27Let [t] denote the greatest integer ≤ t. If the constant term in the expansion of (3 x²-1/(2 x⁵))⁷ is α, then [α] is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q29Consider a circle C₁: x²+y²-4 x-2 y=α-5. Let its mirror image in the line y=2 x+1 be another circle C₂: 5 x²+5 y²-10 f x-10 g y+36=0. Let r be the radius of…Coordinate Geometry
Q31Let [t] denote the greatest integer ≤ t. Then 2/(π) ∫ π / 6 ^(5 π / 6)(8[cosec x]-5[ cot x]) d x is equal to _ _ _ _ _.Integral Calculus
Q32If the solution curve of the differential equation (y-2 log e x) d x+(x log e x²) d y=0, x > 1 passes through the points (e, 4/3) and (e⁴, α), then α is equal…Differential Equations
Q46Let A=\0,3,4,6,7,8,9,10 and R be the relation defined on A such that R=\(x, y) A × A: x-y is odd positive integer or x-y=2. The minimum number of elements…Sets, Relations and Functions
Q47Let the mean and variance of 8 numbers x, y, 10,12,6,12,4,8 be 9 and 9.25 respectively. If x > y, then 3 x-2 y is equal to _ _ _ _ _ _ _.Statistics and Probability
Q50Let a=6 i+9 j+12 k, b=α i+11 j-2 k and c be vectors such that a × c=a × b. If a · c=-12, c ·(i-2 j+k)=5, then c ·(i+j+k) is equal to _ _ _ _ _ _ _ _.Vector Algebra
Q2519The shortest distance between the lines (x-4)/4=(y+2)/5=(z+3)/3 and (x-1)/3=(y-3)/4=(z-4)/2 is:Three Dimensional Geometry
Q2615If the equation of the plane containing the line x+2 y+3 z-4=0=2 x+y-z+5 and perpendicular to the plane r=(i-j)+λ(i+j+k)+μ(i-2 j+3 k) is a x+b y+c z=4, then…Three Dimensional Geometry
Q2863The area of the region \(x, y): x² ≤ y ≤ 8-x², y ≤ 7 is:Integral Calculus
Q3010If the coefficients of three consecutive terms in the expansion of (1+x)ⁿ are in the ratio 1: 5: 20, then the coefficient of the fourth term isBinomial Theorem and Its Simple Applications
Q3269If for z=α+i β,|z+2|=z+4(1+i), then α+β and α β are the roots of the equation:Complex Numbers and Quadratic Equations
Q3674Let f(x)=(sin x+ cos x-√(2))/(sin x- cos x), x [0, π]-\(π)/4. Then f((7 π)/12) f^()((7 π)/12) is equal toLimit, Continuity and Differentiability
Q4035Let I(x)=∫ ((x+1))/(x(1+x eˣ)²) d x, x > 0. If lim x → ∞ I(x)=0, then I(1) is equal to:Integral Calculus
Q4300lim x → 0 ((((1- cos ²(3 x).)/(cos ³(4 x)))((sin ³(4 x))/((log e (2 x+1))⁵))) is equal to _ _ _ _ _ _ _.Limit, Continuity and Differentiability
Q4396Negation of (p ⇒ q) ⇒(q ⇒ p) is:Mathematical Reasoning
Q4427Let A=[ ccc2 1 0 1 2 -1 0 -1 2 ]. If |adj(adj(adj 2 A))|=(16)ⁿ, then n is equal to:Matrices and Determinants
Q4664Let P=[ cc(√(3))/2 1/2 -1/2 (√(3))/2 ], A=[ ll1 1 0 1 ] and Q=P A P^(T). If P^(T) Q²⁰⁰⁷ P=[ lla b c d ], then 2 a+b-3 c-4 d equal to:Matrices and Determinants
Q4675Let R be the focus of the parabola y²=20 x and the line y=m x+c intersect the parabola at two points P and Q. Let the point G(10,10) be the centroid of the…Coordinate Geometry
Q4768The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is:Permutations and Combinations
Q4802The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is:Permutations and Combinations
Q4833Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each having at least 3 and at most 6 elements is:Permutations and Combinations
Q4966In a bolt factory, machines A, B and C manufacture respectively 20%, 30% and 50% of the total bolts. Of their output 3, 4 and 2 percent are respectively…Statistics and Probability
Q5164Let 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 α³-6 β³-8 γ³ is equal to:Complex Numbers and Quadratic Equations
Q5231Let S K =(1+2+ +K)/K and Σ j=1 ⁿ S j ²=n/A(B n²+C n+D), where A, B, C, D N and A has least value. ThenSequence and Series
Q5546Let C(α, β) be the circumcenter of the triangle formed by the lines 4 x+3 y=69 4 y-3 x=17, and x+7 y=61. Then (α-β)²+α+β is equal to:Coordinate Geometry
Q5702If the points with position vectors α i+10 j+13 k, 6 i+11 j+11 k, 9/2 i+β j-8 k are collinear, then (19 α-6 β)² is equal to:Vector Algebra