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 31 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 202331 Jan, Evening shift

Physics 29Chemistry 19Mathematics 30

Physics

Q55A series LCR circuit consists of R=80 Ω, X L =100 Ω, and X C =40 Ω. The input voltage is 2500 cos (100 π t) V. The amplitude of current, in the circuit, is _…Electromagnetic Induction and Alternating Currents
Q57If the binding energy of ground state electron in a hydrogen atom is 13.6 eV, then, the energy required to remove the electron from the second excited state…Atoms and Nuclei
Q58Two parallel plate capacitors C₁ and C₂ each having capacitance of 10 μ F are individually charged by a 100 V D.C. source. Capacitor C₁ is kept connected to…Electrostatics
Q59A ball is dropped from a height of 20 ~m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball…Rotational Motion
Q72A water heater of power 2000 ~W is used to heat water. The specific heat capacity of water is 4200 ~J kg⁻¹ ~K⁻¹. The efficiency of heater is 70%. Time…Thermodynamics
Q76Two bodies are projected from ground with same speeds 40 ~ms⁻¹ at two different angles with respect to horizontal. The bodies were found to have same range…Kinematics
Q79Two discs of same mass and different radii are made of different materials such that their thicknesses are 1 ~cm and 0.5 ~cm respectively. The densities of…Rotational Motion
Q81Two light waves of wavelengths 800 and 600 ~nm are used in Young's double slit experiment to obtain interference fringes on a screen placed 7 ~m away from…Optics
Q82The displacement equations of two interfering waves are given by y₁=10 sin (ω t+(π)/3) cm, y₂=5[ sin ω t+√(3) cos ω t] cm respectively. The amplitude of the…Oscillations and Waves
Q5914An alternating voltage source V=260 sin (628 t) is connected across a pure inductor of 5 mH Inductive reactance in the circuit is:Electromagnetic Induction and Alternating Currents
Q6016The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will beAtoms and Nuclei
Q6280A stone of mass 1 ~kg is tied to end of a massless string of length 1 ~m. If the breaking tension of the string is 400 ~N, then maximum linear velocity, the…Kinematics
Q6281A body is moving with constant speed, in a circle of radius 10 ~m. The body completes one revolution in 4 ~s. At the end of 3rd second, the displacement of…Kinematics
Q6369Given below are two statements: Statement I: For transmitting a signal, size of antenna (l) should be comparable to wavelength of signal (at least l=(λ)/4 in…Communication Systems
Q6437The H amount of thermal energy is developed by a resistor in 10 ~s when a current of 4 ~A is passed through it. If the current is increased to 16 ~A, the…Current Electricity
Q6475The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by 50%. The percentage change in voltage…Current Electricity
Q6655If the two metals A and B are exposed to radiation of wavelength 350 ~nm. The work functions of metals A and B are 4.8 eV and 2.2 eV. Then choose the correct…Dual Nature of Matter and Radiation
Q6842Match List I with List II LIST I LIST II A. Microwaves I. Physiotherapy B. UV rays II. Treatment of cancer C. Infra-red light III. Lasik eye surgery D. X-ray…Electromagnetic Waves
Q6912Given below are two statements: Statement I: In a typical transistor, all three regions emitter, base and collector have same doping level. Statement II: In a…Electronic Devices
Q7021Considering a group of positive charges, which of the following statements is correct ?Electrostatics
Q7118A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 5/3 is poured inside the bucket, then the microscope has to be…Optics
Q7155A body weight W, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The…Gravitation
Q7314Heat energy of 735 ~J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not…Thermodynamics
Q7493A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial…Thermodynamics
Q7557A body of mass 10 ~kg is moving with an initial speed of 20 ~m / s. The body stops after 5 ~s due to friction between body and the floor. The value of the…Laws of Motion
Q7691A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns. Then it is bent into a circular coil of n turns. The…Magnetic Effects of Current and Magnetism
Q7954For a solid rod, the Young's modulus of elasticity is 3.2 × 10¹¹ Nm⁻² and density is 8 × 10³ ~kg ~m⁻³. The velocity of longitudinal wave in the rod will be.Properties of Solids and Liquids
Q7955Under the same load, wire A having length 5.0 ~m and cross section 2.5 × 10⁻⁵ ~m² stretches uniformly by the same amount as another wire B of length 6.0 ~m…Properties of Solids and Liquids
Q8265Match List I with List II LIST I LIST II A. Angular momentum I. [ML² ~T⁻²] B. Torque II. [ML⁻² ~T⁻²] C. Stress III [ML² ~T⁻¹] D. Pressure gradient IV. [ML⁻¹…Units and Measurements

Chemistry

Q1Amongst the following, the number of species having the linear shape is _ _ _ _ _. XeF₂, I₃⁺, C₃ O₂, I₃⁻, CO₂, SO₂, BeCl₂ and BCl₂^()Chemical Bonding and Molecular Structure
Q2The rate constant for a first order reaction is 20 ~min⁻¹. The time required for the initial concentration of the reactant to reduce to its 1/32 level is _ _…Chemical Kinetics
Q3If the CFSE of [Ti(H₂ O)₆]³⁺ is -96.0 ~kJ / mol, this complex will absorb maximum at wavelength _ _ _ _ _ n m. (nearest integer) Assume Planck's constant (h)…Coordination Compounds
Q4The resistivity of a 0.8 M solution of an electrolyte is 5 × 10⁻³ Ω~ cm. Its molar conductivity is _ _ _ _ _ × 10⁴~ Ω⁻¹ ~cm² ~mol⁻¹. (Nearest integer)Redox Reactions and Electrochemistry
Q10At 298 ~K, the solubility of silver chloride in water is 1.434 × 10⁻³ ~g ~L⁻¹. The value of - log K sp for silver chloride is _ _ _ _ _. (Given mass of Ag is…Equilibrium
Q16The number of alkali metal(s), from Li, K, Cs, Rb having ionization enthalpy greater than 400 ~kJ mol⁻¹ and forming stable super oxide is _ _ _ _ _ _ _.S Block Elements
Q19A sample of a metal oxide has formula M 0.83 O 1.00. The metal M can exist in two oxidation states +2 and +3. In the sample of M 0.83 O 1.00, the percentage…Some Basic Concepts in Chemistry
Q21Assume carbon burns according to the following equation: 2 C (s) +O 2(~g) → 2 CO(g) when 12 ~g carbon is burnt in 48 ~g of oxygen, the volume of carbon…Some Basic Concepts in Chemistry
Q23Enthalpies of formation of CCl₄(~g), H₂ O(g), CO₂(~g) and HCl(g) are -105,-242,-394 and -92 ~kJ mol⁻¹ respectively. The magnitude of enthalpy of the reaction…Chemical Thermodynamics
Q1233Given below are two statements: Statement I: H₂ O₂ is used in the synthesis of Cephalosporin Statement II: H₂ O₂ is used for the restoration of aerobic…Hydrogen
Q1275The normal rain water is slightly acidic and its pH value is 5.6 because of which one of the following?Hydrogen
Q1313The incorrect statement for the use of indicators in acid-base titration is:Equilibrium
Q1455Given below are two statements: Statement I: Upon heating a borax bead dipped in cupric sulphate in a luminous flame, the colour of the bead becomes green…p-Block Elements
Q1616Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): The first ionization enthalpy of 3 ~d…Classification of Elements and Periodicity in Properties
Q1756In Dumas method for the estimation of N₂, the sample is heated with copper oxide and the gas evolved is passed over:Purification and Characterisation of Organic Compounds
Q1896The element playing significant role in neuromuscular function and interneuronal transmission is:S Block Elements
Q1971Evaluate the following statements for their correctness. A. The elevation in boiling point temperature of water will be same for 0.1 M NaCl and 0.1 M urea. B…Solutions
Q2103When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of…Some Basic Concepts in Chemistry
Q2210Arrange the following orbitals in decreasing order of energy. A. n=3, l=0, ~m=0 B. n=4, l=0, ~m=0 C. n=3, l=1, ~m=0 D. n=3, l=2, ~m=1 The correct option for…Atomic Structure

Mathematics

Q28Let the area of the region \(x, y):|2 x-1| ≤ y ≤|x²-x|, 0 ≤ x ≤ 1 be A. Then (6 ~A+11)² is equal toIntegral Calculus
Q29The coefficient of x⁻⁶, in the expansion of ((4 x)/5+5/(2 x²))⁹, isBinomial Theorem and Its Simple Applications
Q30If the constant term in the binomial expansion of ((x^(5/2))/2-4/(x^(l)))⁹ is -84 and the coefficient of x^(-3 l) is 2^(α) β, where β<0 is an odd number, then…Binomial Theorem and Its Simple Applications
Q42Let A be a n × n matrix such that |A|=2. If the determinant of the matrix Adj(2 · Adj(2 ~A⁻¹)) · is 2⁸⁴, then n is equal to:Matrices and Determinants
Q43Let S be the set of all a N such that the area of the triangle formed by the tangent at the point P(b, c), b, c N, on the parabola y²=2 a x and the lines x=b…Coordinate Geometry
Q44Let A=[a i j ], a i j Z [0,4], 1 ≤ i, j ≤ 2. The number of matrices A such that the sum of all entries is a prime number p (2,13) is _ _ _ _ _.Permutations and Combinations
Q45If ²ⁿ⁺¹ P n-1: ²ⁿ⁻¹ P n =11: 21, then n²+n+15 is equal to:Permutations and Combinations
Q46Let A be the event that the absolute difference between two randomly choosen real numbers in the sample space [0,60] is less than or equal to a. If…Statistics and Probability
Q49The sum 1²-2 · 3²+3 · 5²-4 · 7²+5 · 9²- +15 · 29² is _ _ _ _ _.Sequence and Series
Q53Let a, b, c be three vectors such that |a|=√(31), 4|b|=|c|=2 and 2(a × b)=3(c × a). If the angle between b and c is (2 π)/3, then ((a × c)/(a · b))² is equal…Vector Algebra
Q2454Let the plane P: 8 x+α₁ y+α₂ z+12=0 be parallel to the line L: (x+2)/2=(y-3)/3=(z+4)/5. If the intercept of P on the y -axis is 1, then the distance between P…Three Dimensional Geometry
Q2455The foot of perpendicular from the origin O to a plane P which meets the co-ordinate axes at the points A, B, C is (2, a, 4), a N. If the volume of the…Three Dimensional Geometry
Q2456Let P be the plane, passing through the point (1,-1,-5) and perpendicular to the line joining the points (4,1,-3) and (2,4,3). Then the distance of P from the…Three Dimensional Geometry
Q2602If a point P(α, β, γ) satisfying (α β γ)(2 10 8 9 3 8 8 4 8) = (0 0 0) lies on the plane 2 x+4 y+3 z=5, then 6 α+9 β+7 γ is equal to:Three Dimensional Geometry
Q3054The set of all values of a² for which the line x+y=0 bisects two distinct chords drawn from a point P((1+a)/2, (1-a)/2) on the circle 2 x²+2 y²-(1+a) x-(1-a)…Coordinate Geometry
Q3244The complex number z=(i-1)/(cos (π)/3+i sin (π)/3) is equal to:Complex Numbers and Quadratic Equations
Q3318If φ(x)=1/(√(x)) ∫ (π)/4 ˣ(4 √(2) sin t-3 φ^()(t)) d t, x>0, then ^()((π)/4) is equal to:Integral Calculus
Q3449Let α>0. If ∫₀^α x/(√(x+α)-√(x)) ~d x=(16+20 √(2))/15, then α is equal to:Integral Calculus
Q3632Let y=y(x) be the solution of the differential equation (3 y²-5 x²) y ~d x+2 x(x²-y²) d y=0 such that y(1)=1. Then |(y(2))³-12 y(2)| is equal to:Differential Equations
Q3872The absolute minimum value, of the function f(x)=|x²-x+1|+[x²-x+1], where [t] denotes the greatest integer function, in the interval [-1,2], is:Sets, Relations and Functions
Q3892Let f: R-\2,6 → R be real valued function defined as f(x)=(x²+2 x+1)/(x²-8 x+12). Then range of f isSets, Relations and Functions
Q3977Let H be the hyperbola, whose foci are (1 ± √(2), 0) and eccentricity is √(2). Then the length of its latus rectum is:Coordinate Geometry
Q4115Let (a, b) (0,2 π) be the largest interval for which sin ⁻¹(sin θ)- cos ⁻¹(sin θ)>0, θ (0,2 π), holds. If α x²+β x+ sin ⁻¹(x²-6 x+10)+ cos ⁻¹(x²-6 x+10)=0 and…Trigonometry
Q4242lim x → ∞ ((√(3 x+1)+√(3 x-1))⁶+(√(3 x+1)-√(3 x-1))⁶)/((x+√(x²-1))⁶+(x-√(x²-1))⁶) x³Limit, Continuity and Differentiability
Q4379The number of values of r, q, p, q for which ((p q) ⇒(r q)) ((p r) ⇒ q) is a tautology, is:Mathematical Reasoning
Q5103The equation e⁴ˣ+8 e³ˣ+13 e²ˣ-8 eˣ+1=0, x R has:Complex Numbers and Quadratic Equations
Q5227Let a₁, a₂, a₃, be an A.P. If a₇=3, the product a₁ a₄ is minimum and the sum of its first n terms is zero, then n !-4 a n(n+2) is equal to:Sequence and Series
Q5385Among the relations S=\(a, b): a, b R-\0 2+a/b>0 and T=\(a, b): a, b R, a²-b² Z,Sets, Relations and Functions
Q5477Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and α(> 0), and the mean and standard deviation of marks of class B…Statistics and Probability
Q5831Let a=i+2 j+3 k, b=i-j+2 k and c=5 i-3 j+3 k be three vectors. If r is a vector such that, r × b=c × b and r · a=0, then 25|r|² is equal to:Vector Algebra