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 24 Jan Evening 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 202324 Jan, Evening shift

Physics 24Chemistry 19Mathematics 29

Physics

Q50The energy released per fission of nucleus of ²⁴⁰ X is 200 MeV. The energy released if all the atoms in 120g of pure ²⁴⁰ X undergo fission is _ _ _ _ _ _ × 10…Atoms and Nuclei
Q51A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is…Electrostatics
Q55If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is _ _ _ _ _%.Current Electricity
Q58A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of the lens will be _ _ _ _ _ c m. (Given…Optics
Q65A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of 2 A. The loop is in a uniform…Magnetic Effects of Current and Magnetism
Q66A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force on the…Properties of Solids and Liquids
Q69A uniform solid cylinder with radius R and length L has moment of inertia I ₁, about the axis of the cylinder. A concentric solid cylinder of radius R'=R/2…Rotational Motion
Q70A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period of the oscillation increases by one…Oscillations and Waves
Q72A body of mass 1kg begins to move under the action of a time dependent force F = (t i + 3t² j) N, where i and j are the unit vectors along x and y axis. The…Work, Energy and Power
Q6018A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h = 4 × 10 ⁻¹⁵ eVs):Atoms and Nuclei
Q6285A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a…Kinematics
Q6326Match List I with List II List-I List-II A. AM Broadcast I. 88-108 MHz B. FM Broadcast II. 540-1600 kHz C. Television III. 3.7-4.2 GHz D. Satellite…Communication Systems
Q6476A cell of emf 90 V is connected across series combination of two resistors each of 100 Ω resistance. A voltmeter of resistance 400 Ω is used to measure the…Current Electricity
Q6582An α -particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:Dual Nature of Matter and Radiation
Q6808The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by E x = E o sin (kz - ω t) B y = B o sin (kz…Electromagnetic Waves
Q7120When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on…Optics
Q7159Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: A pendulum clock when taken to Mount…Gravitation
Q7160Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement II…Gravitation
Q7279If the distance of the earth from Sun is 1.5 × 10 ⁶ km. Then the distance of an imaginary planet from Sun, if its period of revolution is 2.83 years is:Gravitation
Q7316Let γ₁ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and γ₂ be the similar ratio of…Thermodynamics
Q7693A long solenoid is formed by winding 70 turns cm ⁻¹. If 2.0 A current flows, then the magnetic field produced inside the solenoid is _ _ _ _ _ _ (μ₀=4π×10⁻⁷…Magnetic Effects of Current and Magnetism
Q7958Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Steel is used in the construction of…Properties of Solids and Liquids
Q8027The frequency (ν) of an oscillating liquid drop may depend upon radius (r) of the drop, density (ρ) of liquid and the surface tension (s) of the liquid as…Properties of Solids and Liquids
Q8375If two vectors P = i + 2m j + m k and Q = 4 i - 2 j + m k are perpendicular to each other. Then, the value of m will be:Kinematics

Chemistry

Q2Total number of tripeptides possible by mixing of valine and proline is _ _ _ _ _ _Biomolecules
Q10Maximum number of isomeric monochloro derivatives which can be obtained from 2,2,5,5-tetramethylhexane by chlorination is _ _ _ _ _ _ _Hydrocarbons
Q14Sum of π -bonds present in peroxodisulphuric acid and pyrosulphuric acid is _ _ _ _ _ _p-Block Elements
Q17The total pressure observed by mixing two liquids A and B is 350 mm Hg when their mole fractions are 0.7 and 0.3 respectively. The total pressure becomes 410…Solutions
Q18The number of units, which are used to express concentration of solutions from the following is _ _ _ _ M ass percent, Mole, Mole fraction, Molarity, ppm…Some Basic Concepts in Chemistry
Q85Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Benzene is more stable than hypothetical…Some Basic Principles of Organic Chemistry
Q381What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species: N₂;N₂⁺;O₂;O₂⁺ ?Chemical Bonding and Molecular Structure
Q455A student has studied the decomposition of a gas AB ₃ at 25° C. He obtained the following data. p (mm Hg) 50 100 200 400 relative t 1/2 (s) 4 2 1 0.5 The…Chemical Kinetics
Q546Given below are two statements: Statement I: Pure Aniline and other arylamines are usually colourless. Statement II: Arylamines get coloured on storage due to…Organic Compounds Containing Nitrogen
Q639Which of the following cannot be explained by crystal field theory?Coordination Compounds
Q744The hybridization and magnetic behaviour of cobalt ion in [Co(NH₃)₆]³⁺ complex, respectively is:Coordination Compounds
Q831Which one amongst the following are good oxidizing agents? A. Sm ²⁺ B. Ce ²⁺ C. Ce ⁴⁺ D. Tb ⁴⁺ Choose the most appropriate answer from the options given below:d- and f-Block Elements
Q1044Correct statement is:Environmental Chemistry
Q1235In which of the following reactions the hydrogen peroxide acts as a reducing agent?Hydrogen
Q1405The metal which is extracted by oxidation and subsequent reduction from its ore is:Isolation of Elements
Q1515K₂Cr₂O₇ paper acidified with dilute H₂SO₄ turns green when exposed to:p-Block Elements
Q1864Identify the correct statements about alkali metals. A. The order of standard reduction potential (M ⁺ | M) for alkali metal ions is Na > Rb > Li. B. CsI is…S Block Elements
Q1902Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Beryllium has less negative value of…S Block Elements
Q2149The number of s-electrons present in an ion with 55 protons in its unipositive state isAtomic Structure

Mathematics

Q22If the shortest between the lines (x + 6)/2 = (y - 6)/3 = (z - 6)/4 and (x - λ)/3 = (y - 2 6)/4 = (z + 2 6)/5 is 6, then the square of sum of all possible…Three Dimensional Geometry
Q23If the area of the region bounded by the curves y²-2y=-x,x+y=0 is A, then 8 A is equal to _ _ _ _ _Integral Calculus
Q24Let the sum of the coefficients of the first three terms in the expansion of (x - 3/(x²))ⁿ,x ≠ 0.~n N, be 376. Then the coefficient of x⁴ is _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q28Let f be a differentiable function defined on [ 0,(π)/2 ] such that f(x) > 0 and f(x) + ∫₀ˣ f(t)√(1 - (log e f(t))²) dt = e, x [ 0,(π)/2 ]. Then (6 log e…Integral Calculus
Q41Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and λ red, 4 black balls respectively. One of the urns is selected at random and a ball is…Statistics and Probability
Q43If (1³ + 2³ + 3³ +... up to n terms)/(1. 3 + 2. 5 + 3. 7 +... up to n terms) = 9/5, then the value of n isSequence and Series
Q44The minimum number of elements that must be added to the relation R = (a, b), (b, c), (b, d) on the set a, b, c, d so that it is an equivalence relation, is _…Sets, Relations and Functions
Q46The equations of the sides AB, BC and CA of a triangle ABC are: 2x+y=0,x+py=21a,(a±0) and x-y=3 respectively. Let P(2, a) be the centroid of Δ ABC. Then (BC)…Coordinate Geometry
Q48Let a = i + 2 j + λ k, b = 3 i - 5 j - λ k, a. c = 7,2 b. c + 43 = 0, a × c = b × c. Then | a. b | is equal to:Vector Algebra
Q2462If the foot of the perpendicular drawn from (1, 9, 7) to the line passing through the point (3, 2, 1) and parallel to the planes x+2y+z=0 and 3y-z=3 is…Three Dimensional Geometry
Q2463Let the plane containing the line of intersection of the planes P₁: x+(λ+4)y+z=1 and P₂: 2x+y+z=2 pass through the points (0, 1, 0) and (1, 0, 1). Then the…Three Dimensional Geometry
Q3006If (³⁰C₁)² + 2(³⁰C₂)² + 3(³⁰C₃)² +... + 30(³⁰C₃₀)² = (α 60!)/((30!)²) then α is equal to:Binomial Theorem and Its Simple Applications
Q3055The locus of the mid points of the chords of the circle C₁:(x - 4)² + (y - 5)² = 4 which subtend an angle θ i at the centre of the circle C₁, is a circle of…Coordinate Geometry
Q3245The value of ((1 + sin (2π)/9 + i cos (2π)/9)/(1 + sin (2π)/9 - i cos (2π)/9))³ isComplex Numbers and Quadratic Equations
Q3458∫ (3 2)/4 ^((3 3)/4) 48/(√(9 - 4x²))dx is equal to:Integral Calculus
Q3636Let y=y(x) be the solution of the differential equation (x²-3y²)dx+3xy~dy=0,y(1)=1. Then 6y²(e) is equal toDifferential Equations
Q3711If f(x) = x³ - x²f'(1) + xf''(2) - f'''(3),x R, thenLimit, Continuity and Differentiability
Q3877Let f(x) be a function such that f(x+y)=f(x).f(y) for all x,y N. If f(1)=3 and Σ k = 1 ⁿ f(k) = 3279, then the value of n isSets, Relations and Functions
Q3878If f(x) = (2²ˣ)/(2²ˣ + 2),x R, then f(1/2023) + f(2/2023) +... + f(2022/2023) is equal toSets, Relations and Functions
Q4244The set of all values of a for which lim x → a ([x - 5] - [2x + 2]) = 0, where [ α ] denotes the greatest integer less than or equal to α is equal toLimit, Continuity and Differentiability
Q4386Let p and q be two statements. Then (p (p ⇒ q)) is equivalent toMathematical Reasoning
Q4541Let A be a 3 × 3 matrix such that |adj(adj(adj~A))|=12⁴. Then |A⁻¹~adj~A| is equal toMatrices and Determinants
Q4623If the system of equations x+2y+3z=3 4x+3y-4z=4 8x+4y-λ z=9+μ has infinitely many solutions, then the ordered pair (λ,μ) is equal to:Matrices and Determinants
Q4756The equations of the sides AB and AC of a triangle ABC are (λ+1)x+λ y=4 and λ x+(1-λ)y+λ=0 respectively. Its vertex A is on the y-axis and its orthocentre is…Coordinate Geometry
Q4780The number of square matrices of order 5 with entries from the set 0, 1, such that the sum of all the elements in each row is 1 and the sum of all the…Permutations and Combinations
Q4850The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7, 8 without repetition is:Permutations and Combinations
Q5105The number of real solutions of the equation 3(x² + 1/(x²)) - 2(x + 1/x) + 5 = 0, isComplex Numbers and Quadratic Equations
Q5482Let the six numbers a₁,a₂,a₃,a₄,a₅,a₆, be in A.P. and a₁+a₃=10. If the mean of these six numbers is 19/2 and their variance is σ², then 8 σ² is equal to:Statistics and Probability
Q5784Let α = 4 i + 3 j + 5 k and β = i + 2 j - 4 k. Let β ₁ be parallel to α and β ₂ be perpendicular to α. If β = β ₁ + β ₂, then the value of 5 β ₂.(i + j + k) is:Vector Algebra