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 23 Jan 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 202623 Jan, Morning shift

Physics 21Chemistry 20Mathematics 25

Physics

Q26Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from…Optics
Q27Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is:Electrostatics
Q28In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite directions with speeds of 10 m/s and…Thermodynamics
Q29Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Consider a ferromagnetic material: Assertion (A)…Magnetic Effects of Current and Magnetism
Q30Match List - I with List - II. List - I (Relation): A. E· d l=-d/dt B· d a; B. B· d l=μ₀(I+ε₀(dφ E)/dt); C. E· d a=1/(ε₀)∫ V ρ dv; D. B· d l=μ₀I. List - II…Electromagnetic Waves
Q31In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this…Experimental Skills
Q33The de Broglie wavelength of an oxygen molecule at 27°C is x×10⁻¹² m. The value of x is (take Planck's constant =6.63×10⁻³⁴ J.s, Boltzmann constant…Dual Nature of Matter and Radiation
Q35The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L (R<L) about an axis passing through the mid…Rotational Motion
Q36A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perform 40 oscillations in…Oscillations and Waves
Q37Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in figure. The energy stored in A is E. The energy stored in B…Work, Energy and Power
Q39Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25 cm. The relative error in the measurement of average length of the rod is:Units and Measurements
Q40A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle…Optics
Q41Two small balls with masses m and 2m are attached to both ends of a rigid rod of length d and negligible mass. If angular momentum of this system is L about…Rotational Motion
Q42A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity (g=10 m/s ²) through a uniform horizontal magnetic field of 0.5 Gauss…Electromagnetic Induction and Alternating Currents
Q43A wire of uniform resistance λ Ω/m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (AOB) as…Current Electricity
Q44In hydrogen atom spectrum, (R→ Rydberg's constant) A. the maximum wavelength of the radiation of Lyman series is 4/3R; B. the Balmer series lies in the…Atoms and Nuclei
Q45An object is projected with kinetic energy K from a point A at an angle 60° with the horizontal. The ratio of the difference in kinetic energies at points B…Kinematics
Q46Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for V=5 sin (100t). The values of L and R are…Electromagnetic Induction and Alternating Currents
Q48The equation of the electric field of an electromagnetic wave propagating through free space is given by: E=√(377) sin (6.27×10³t-2.09×10⁻⁵x) N/C. The average…Electromagnetic Waves
Q49In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width…Optics
Q50A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in a uniform magnetic field of 2 T. The magnetic field…Electromagnetic Induction and Alternating Currents

Chemistry

Q51The correct trend in the first ionization enthalpies of the elements in the 3rd period of periodic table is:Classification of Elements and Periodicity in Properties
Q52Given, (A) n=5, m l =-1 (B) n=3, l=2, m l =-1, m s =+1/2. The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and…Atomic Structure
Q53Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems ?Atomic Structure
Q55Given below are two statements: Statement I: Sublimation is used for the separation and purification of compounds with low melting point. Statement II: The…Purification and Characterisation of Organic Compounds
Q56A cup of water at 5°C (system) is placed in a microwave oven and the oven is turned on for one minute during which the water begins to boil. Which of the…Chemical Thermodynamics
Q58In the given electrochemical cell, Ag(s) | AgCl(s) | FeCl₂(aq), FeCl₃(aq) | Pt(s) at 298 K, the cell potential (E cell) will increase when: A. Concentration…Redox Reactions and Electrochemistry
Q60Match List - I with List - II. List - I (Functional group (detection)): A. Unsaturation (Baeyer's test); B. Alcoholic group (Ceric ammonium nitrate test); C…Principles Related to Practical Chemistry
Q61Consider the general reaction given below at 400 K: xA(g) yB(g). The values of K p and K c are studied under the same condition of temperature but variation…Equilibrium
Q62Given below are two statements: Statement I: [CoBr₄]²⁻ ion will absorb light of lower energy than [CoCl₄]²⁻ ion. Statement II: In [CoI₄]²⁻ ion, the energy…Coordination Compounds
Q63Compound 'P' undergoes the following sequence of reactions: 'P' (i) NH₃ (ii) Δ Q (i) KOH, Br₂ (ii) CHCl₃, KOH (alc), Δ cyclohexyl isocyanide (cyclohexane ring…Organic Compounds Containing Nitrogen
Q64Consider the following compounds: (a) chlorobenzene, (b) nitrobenzene, (c) anisole (methoxybenzene). Arrange these compounds in the increasing order of…Hydrocarbons
Q65(X) 1-bromo-1-phenylethane (C₆H₅CH(Br)CH₃) ? (Y) phenylacetic acid (C₆H₅CH₂COOH). The correct sequence of reagents for the above conversion of X to Y is:Organic Compounds Containing Oxygen
Q66'x' is the product which is obtained from propanenitrile and stannous chloride in the presence of hydrochloric acid followed by hydrolysis. 'y' is the product…Organic Compounds Containing Oxygen
Q67Consider the following sequence of reactions. 4-Nitrotoluene (i) Sn, HCl/Δ (ii) pH neutralisation (A) (i) (H₃CCO)₂O (ii) Br₂/AcOH (B). Assuming that the…Organic Compounds Containing Nitrogen
Q68The correct statements from the following are: A. Ionic radii of trivalent cations of group 13 elements decreases down the group. B. Electronegativity of…p-Block Elements
Q69The statements that are incorrect about the nickel(II) complex of dimethylglyoxime are: A. It is red in colour. B. It has a high solubility in water at pH =…Coordination Compounds
Q70Identify the molecule (X) with maximum number of lone pairs of electrons (obtained using Lewis dot structure) among HNO₃, H₂SO₄, NF₃ and O₃. Choose the…Chemical Bonding and Molecular Structure
Q72For the following gas phase equilibrium reaction at constant temperature, NH₃(g) 1/2N₂(g)+3/2H₂(g) if the total pressure is 3 atm and the pressure equilibrium…Equilibrium
Q73x mg of pure HCl was used to make an aqueous solution. 25.0 mL of 0.1 M Ba(OH)₂ solution is used when the HCl solution was titrated against it. The numerical…Some Basic Concepts in Chemistry
Q74Consider all the structural isomers with molecular formula C₅H₁₁Br are separately treated with KOH(aq) to give respective substitution products, without any…Organic Compounds Containing Halogens

Mathematics

Q1Let the domain of the function f(x)= log ₃ log ₅ log ₇(9x-x²-13) be the interval (m, n). Let the hyperbola (x²)/(a²)-(y²)/(b²)=1 have eccentricity n/3 and the…Coordinate Geometry
Q2Let the mean and variance of 8 numbers -10, -7, -1, x, y, 9, 2, 16 be 7/2 and 293/4, respectively. Then the mean of 4 numbers x, y, x+y+1, |x-y| is:Statistics and Probability
Q3The vertices B and C of a triangle ABC lie on the line x/1=(1-y)/(-2)=(z-2)/3. The coordinates of A and B are (1, 6, 3) and (4, 9, α) respectively and C is at…Three Dimensional Geometry
Q4The value of the integral ∫ π/24 ^(5π/24)dx/(1+3√(tan 2x)) is:Integral Calculus
Q5Let a=- i+ j+2 k, b= i- j-3 k, c= a× b and d= c× a. Then (a- b)· d is equal to:Vector Algebra
Q6Let y=y(x) be the solution of the differential equation x⁴dy+(4x³y+2 sin x)dx=0, x>0, y((π)/2)=0. Then π⁴y((π)/3) is equal to:Differential Equations
Q7Let the line y-x=1 intersect the ellipse (x²)/2+(y²)/1=1 at the points A and B. Then the angle made by the line segment AB at the center of the ellipse is:Coordinate Geometry
Q8Let f(x)= (ax²+2ax+3)/(4x²+4x-3), x≠-3/2,1/2 b, x=-3/2,1/2 be continuous at x=-3/2. If f° f(x)=7/5, then x is equal to:Limit, Continuity and Differentiability
Q9The sum of all possible values of n, so that the coefficients of x, x² and x³ in the expansion of (1+x²)²(1+x)ⁿ, are in arithmetic progression is:Binomial Theorem and Its Simple Applications
Q10Let S=: 3≤|2z-3(1+i)|≤7 be a set of complex numbers. Then min z S |z+1/2(5+3i)| is equal to:Complex Numbers and Quadratic Equations
Q11Let f(x)=∫((2-x²)eˣ)/((√(1+x))(1-x)^(3/2))dx. If f(0)=0, then f(1/2) is equal to:Integral Calculus
Q12A rectangle is formed by the lines x=0, y=0, x=3 and y=4. Let the line L be perpendicular to 3x+y+6=0 and divide the area of the rectangle into two equal…Coordinate Geometry
Q13Among the statements: I: If 1 cos α cos β cos α 1 cos γ cos β cos γ 1 = 0 cos α cos β cos α 0 cos γ cos β cos γ 0, then cos ²α+ cos ²β+ cos ²γ=3/2, and II: If…Matrices and Determinants
Q14Let A=\-2,-1,0,1,2,3,4. Let R be a relation on A defined by xRy if and only if 2x+y≤2. Let l be the number of elements in R. Let m and n be the minimum number…Sets, Relations and Functions
Q15A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less…Complex Numbers and Quadratic Equations
Q16Let the direction cosines of two lines satisfy the equations: 4l+m-n=0 and 2mn+10nl+3lm=0. Then the cosine of the acute angle between these lines is:Three Dimensional Geometry
Q17The value of (¹⁰⁰C₅₀)/51+(¹⁰⁰C₅₁)/52+ +(¹⁰⁰C₁₀₀)/101 is:Binomial Theorem and Its Simple Applications
Q18Let α and β respectively be the maximum and the minimum values of the function f(θ)=4(sin ⁴((7π)/2-θ)+ sin ⁴(11π+θ))-2(sin ⁶((3π)/2-θ)+ sin ⁶(9π-θ)), θ. Then…Trigonometry
Q19Number of solutions of 3 cos 2θ+8 cos θ+3 3=0, θ [-3π, 2π] is:Trigonometry
Q20If α and β (α<β) are the roots of the equation (-2+ 3)(| x-3|)+(x-6 x)+(9-2 3)=0, x≥0, then √((β)/(α))+√(αβ) is equal to:Complex Numbers and Quadratic Equations
Q21Let f be a twice differentiable non-negative function such that (f(x))²=25+∫₀ˣ((f(t))²+(f'(t))²)dt. Then the mean of f(log e (1)), f(log e (2)),, f(log e…Differential Equations
Q22Let |A|=6, where A is a 3×3 matrix. If |adj(3 adj(A² (2A)))|=2^(m)·3ⁿ, m,n, then m+n is equal to _ _ _.Matrices and Determinants
Q23The number of 4-letter words, with or without meaning, which can be formed using the letters PQRPQRSTUVP, is _ _ _.Permutations and Combinations
Q24Let the area of the region bounded by the curve y= max sin x, cos x, lines x=0, x=(3π)/2, and the x -axis be A. Then, A+A² is equal to _ _ _.Integral Calculus
Q25From the first 100 natural numbers, two numbers first a and then b are selected randomly without replacement. If the probability that a-b≥10 is m/n, gcd (m…Statistics and Probability