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 2026 8 Apr 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 20268 Apr, Evening shift

Physics 21Chemistry 20Mathematics 25

Physics

Q26A new unit (α) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of α units if…Units and Measurements
Q27Consider the equation H=(x^(p)ε^(q)E^(r))/(t^(s)), where H = magnetic field; E = electric field, ε = permittivity, x = distance, t = time. The values of p, q…Units and Measurements
Q28A car moving with a speed of 54 km/h takes a turn of radius 20 m. A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the…Laws of Motion
Q29A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving…Kinematics
Q30A thin biconvex lens is prepared from the glass (μ=1.5) both curved surfaces of which have equal radii of 20 cm each. Left side surface of the lens is…Optics
Q31Two identical bodies, projected with the same speed at two different angles cover the same horizontal range R. If the time of flight of these bodies are 5 s…Kinematics
Q32A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At time t=0 the cylinder has a translational velocity v₀=49 m/s…Rotational Motion
Q33A liquid of density 600 kg/m ³ flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0 cm ² and that at B is 20 mm ². Both…Properties of Solids and Liquids
Q34A spherical liquid drop of radius R acquires the terminal velocity v₁ when falls through a gas of viscosity η. Now the drop is broken into 64 identical…Properties of Solids and Liquids
Q36Initial pressure and volume of a monoatomic ideal gas are P and V. The change in internal energy of this gas in adiabatic expansion to volume V final =27V is…Thermodynamics
Q37The frequency of oscillation of a mass m suspended by a spring is v₁. If the length of the spring is cut to half, the same mass oscillates with frequency v₂…Oscillations and Waves
Q38A monochromatic source of light operating at 15 kW emits 2.5×10²² photons/s. The region of an electromagnetic spectrum to which the emitted electromagnetic…Dual Nature of Matter and Radiation
Q39A current carrying circular loop of radius 2 cm with unit normal n=(k+ i)/(2) is placed in a magnetic field, B=B₀(3 i+2 k). If B₀=4×10⁻³ T and current I=100 2…Magnetic Effects of Current and Magnetism
Q40A 30 cm long solenoid has 10 turns per cm and area of 5 cm ². The current through the solenoid coil varies from 2 A to 4 A in 3.14 s. The e.m.f. induced in…Electromagnetic Induction and Alternating Currents
Q41Two point charges q₁=3 μ C and q₂=-4 μ C are placed at points (2 i+3 j+3 k) and (i+ j+ k) respectively. Force on charge q₂ is _ _ _ N. (Take 1/(4πε₀)=9×10⁹ SI…Electrostatics
Q43K₁ and K₂ be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ₁ and λ₂, respectively. If…Dual Nature of Matter and Radiation
Q44Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous α -decay with same Q value of 1 MeV. The ratio of energies of α…Atoms and Nuclei
Q46A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μF when the space between the plates is filled with an…Electrostatics
Q47Some distant star is to be observed by some telescope of diameter of objective lens a, at an angular resolution of 3.0×10⁻⁷ radian. If the wavelength of light…Optics
Q48A 5 mg particle carrying a charge of 5π×10⁻⁶ C is moving with velocity of (3 i+2 k)×10⁻² m/s in a region having magnetic field B=0.1 k Wb/m ². It moves a…Magnetic Effects of Current and Magnetism
Q50Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12 m/s, respectively. The distances traversed by the masses in the 5 ^(th)…Kinematics

Chemistry

Q51Match List - I with List - II. List - I (Mass of substance): A. 1.8 mg water; B. 9.8 mg sulphuric acid; C. 1.8 mg carbon; D. 5.85 mg salt (NaCl). List - II…Some Basic Concepts in Chemistry
Q52Given below are two statements: Given: Molar mass of C, H, O, Cl are 12, 1, 16 and 35.5 g mol ⁻¹, respectively. Statement I: In 30% (w/w) solution of methanol…Solutions
Q53Bromine trifluoride autoionizes to form BrF₂^() and BrF₄^(). The shapes of the cation and anion are respectively _ _ _, and _ _ _.Chemical Bonding and Molecular Structure
Q54Which of the following statements are not correct ? A. For water, magnitude of K b is more than the magnitude of K f. B. The elevation in boiling point of…Solutions
Q55Consider the following reactions in which all the reactants and products are present in gaseous state: 2xy x₂+y₂, K₁=2.5×10⁵; xy+1/2z₂ xyz, K₂=5×10⁻³. The…Equilibrium
Q56Given at 298 K: E^ _ Fe²⁺/Fe =X Volt, E^ _ Fe³⁺/Fe =Y Volt. The E^ _ Fe³⁺/Fe²⁺ in Volt at 298 K is given by:Redox Reactions and Electrochemistry
Q58Match List - I with List - II. List - I (Electronic configuration of neutral atom (where n = 2)): A. ns²; B. ns²np¹; C. ns²np³; D. ns²np⁶. List - II (1 ^(st)…Classification of Elements and Periodicity in Properties
Q59Find the correct statements related to group 15 hydrides. A. Reducing nature increases from NH₃ to BiH₃. B. Tendency to donate lone pair of electrons…p-Block Elements
Q60Given below are two statements: Statement I: The number of pairs among [ Ti⁴⁺, V²⁺ ], [ V²⁺, Mn²⁺ ], [ Mn²⁺, Fe³⁺ ] and [ V²⁺, Cr²⁺ ] in which both ions are…d- and f-Block Elements
Q61Given below are two statements for catalytic properties of transition metals. Statement I: First row transition metals which act as catalyst utilise their 3d…d- and f-Block Elements
Q62Given below are two statements: Statement I: Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points…Purification and Characterisation of Organic Compounds
Q65n-Butane on monochlorination under photochemical condition gives an optically active compound “P”. “P” on further chlorination gives dichloro compounds. The…Hydrocarbons
Q68Which statements are True ? A. In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of Br₂ are consumed per mole of an amide. B. Hoffmann bromamide…Organic Compounds Containing Nitrogen
Q69The incorrect statement from the following with respect to carbohydrates is:Biomolecules
Q70Which of the following amino acid will give violet coloured complex with neutral ferric chloride solution ?Biomolecules
Q71Number of paramagnetic complexes among the following is _ _ _. [MnBr₄]²⁻, [NiCl₄]²⁻, [Ni(CN)₄]²⁻, [Ni(CO)₄], [CoF₆]³⁻, [Fe(CN)₆]⁴⁻, [Mn(CN)₆]³⁻, [Ti(CN)₆]³⁻…Coordination Compounds
Q72‘x’ is the product which is obtained from benzene by reacting it with carbon monoxide and hydrogen chloride in the presence of cuprous chloride. ‘y’ is the…Organic Compounds Containing Oxygen
Q73Consider two radiations of wavelengths 1. λ₁=2000 Å 2. λ₂=6000 Å. The ratio of the energies of these two radiations (E₁/E₂) is _ _ _ (Nearest integer).Atomic Structure
Q74Consider the reaction 2H₂S(g)+3O₂(g)→2H₂O(l)+2SO₂(g). The magnitude of enthalpy change for the reaction in kJ mol ⁻¹ is _ _ _. (Nearest integer) Given: Δ f H^…Chemical Thermodynamics
Q75Solid carbon, CaO and CaCO₃ are mixed and allowed to attain equilibrium at T K. CaCO₃(s) CaO(s)+CO₂(g), K p₁ =0.08 atm; C(s)+CO₂(g) 2CO(g), K p₂ =2 atm. The…Equilibrium

Mathematics

Q1Consider the relation R on the set \-2,-1,0,1,2 defined by (a,b) R if and only if 1+ab>0. Then, among the statements: I. The number of elements in R is 17…Sets, Relations and Functions
Q2The number of values of z, satisfying the equations |z-(4+8i)|=√(10) and |z-(3+5i)|+|z-(5+11i)|=4√(5), is:Complex Numbers and Quadratic Equations
Q3If the system of linear equations: x+y+z=6, x+2y+5z=10, 2x+3y+λ z=μ has infinitely many solutions, then the value of λ+μ equals:Matrices and Determinants
Q4Let A= α 1 2 2 3 0 0 4 5 and B= 1 0 0 0 -5α 0 0 4α -2α +adj(A). If det (B)=66, then det (adj(A)) equals:Matrices and Determinants
Q5Let α=3+4+8+9+13+14+ upto 40 terms. If (tan β)^((α)/1020) is a root of the equation x²+x-2=0, β (0,(π)/2), then sin ²β+3 cos ²β is equal to:Sequence and Series
Q6A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out…Statistics and Probability
Q7A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10…Statistics and Probability
Q8If 26((2³)/3(¹²C₂)+(2⁵)/5(¹²C₄)+(2⁷)/7(¹²C₆)+ +(2¹³)/13(¹²C₁₂))=3¹³-α, then α is equal to:Binomial Theorem and Its Simple Applications
Q9A person has three different bags and four different books. The number of ways, in which he can put these books in the bags so that no bag is empty, is:Permutations and Combinations
Q10If a straight line drawn through the point of intersection of the lines 4x+3y-1=0 and 3x+4y-1=0, meets the co-ordinate axes at the points P and Q, then the…Coordinate Geometry
Q11Let O be the vertex of the parabola y²=4x and its chords OP and OQ are perpendicular to each other. If the locus of the mid-point of the line segment PQ is a…Coordinate Geometry
Q12Let α=3 sin ⁻¹(6/11) and β=3 cos ⁻¹(4/9), where inverse trigonometric functions take only the principal values. Given below are two statements: Statement I…Trigonometry
Q13For the function f(x)=e^(sin |x|)-|x|, x, consider the following statements: Statement I: f is differentiable for all x. Statement II: f is increasing in…Limit, Continuity and Differentiability
Q14Let a=4 i- j+3 k, b=10 i+2 j- k and a vector c be such that 2(a× b)+3(b× c)= 0. If a· c=15, then c·(i+ j-3 k) is equal to:Vector Algebra
Q15Let the foot of perpendicular from the point (λ,2,3) on the line (x-4)/1=(y-9)/2=(z-5)/1 be the point (1,μ,2). Then the distance between the lines…Three Dimensional Geometry
Q16The value of the integral ∫₀²(√(x(x²+x+1)))/((√(x+1))(√(x⁴+x²+1))) dx is equal to:Integral Calculus
Q17Let y=y(x) be the solution of the differential equation x√(1-x²) dy+(y√(1-x²)-x cos ⁻¹x)dx=0, x (0,1), lim x→1^(- y)(x)=1. Then y(1/2) equals:Differential Equations
Q18Let f:(1,∞) be a function defined as f(x)=(x-1)/(x+1). Let fⁱ⁺¹(x)=f(fⁱ(x)), i=1,2,,25, where f¹(x)=f(x). If g(x)+f²⁶(x)=0, x (1,∞), then the area of the…Integral Calculus
Q19Let f(x)= 1/3, x≤(π)/2 (b(1- sin x))/((π-2x)²), x>(π)/2. If f is continuous at x=π/2, then the value of ∫₀^(3b-6)|x²+2x-3| dx is:Integral Calculus
Q20Let (x²)/(f(a²+7a+3))+(y²)/(f(3a+15))=1 represent an ellipse with major axis along y -axis, where f is a strictly decreasing positive function on R. If the…Coordinate Geometry
Q21The sum of squares of all the real solutions of the equation log (x+1) (2x²+5x+3)=4- log (2x+3) (x²+2x+1) is equal to _ _ _.Complex Numbers and Quadratic Equations
Q22If ∫ π/6 ^(π/4)(cot (x-(π)/3) cot (x+(π)/3)+1)dx=α log e (3-1), then 9α² is equal to _ _ _.Integral Calculus
Q23Let a line L₁ pass through the origin and be perpendicular to the lines L₂: r=(3+t) i+(2t-1) j+(2t+4) k and L₃: r=(3+2s) i+(3+2s) j+(2+s) k, t,s. If (a,b,c)…Three Dimensional Geometry
Q24Consider the circle C:x²+y²-6x-8y-11=0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of the…Coordinate Geometry
Q25Let f be a polynomial function such that log ₂(f(x))=(log ₂(2+2/3+2/9+ ∞))· log ₃(1+(f(x))/(f(1/x))), x>0 and f(6)=37. Then Σ n=1 ¹⁰f(n) is equal to _ _ _.Sets, Relations and Functions