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 22 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 202622 Jan, Evening shift

Physics 18Chemistry 20Mathematics 24

Physics

Q26Light is incident on a metallic plate having work function 110×10⁻²⁰ J. If the produced photoelectrons have zero kinetic energy then the angular frequency of…Dual Nature of Matter and Radiation
Q28In an open organ pipe ν₃ and ν₆ are 3^(rd) and 6^(th) harmonic frequencies, respectively. If ν₆-ν₃=2200 Hz then length of the pipe is _ _ _ _ mm. (Take…Oscillations and Waves
Q29The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is…Optics
Q30When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube…Properties of Solids and Liquids
Q31Given below are two statements: Statement I: For a mechanical system of many particles total kinetic energy is the sum of kinetic energies of all the…Rotational Motion
Q32The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly _ _ _ _ nm.Atoms and Nuclei
Q33If ε, E and t represent the free space permittivity, electric field and time respectively, then the unit of (ε E)/t will be:Units and Measurements
Q35Five positive charges each having charge q are placed at the vertices of a pentagon as shown in the figure. The electric potential (V) and the electric field…Electrostatics
Q36A laser beam has intensity of 4.0×10¹⁴ W/m ². The amplitude of magnetic field associated with beam is _ _ _ _ T. (Take ε₀=8.85×10⁻¹² C ² /N m ² and c=3×10⁸ m/s)Electromagnetic Waves
Q37Given below are two statements: Statement I: A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of…Gravitation
Q39Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and…Electrostatics
Q43Given below are two statements: Statement I: An object moves from position r₁ to position r₂ under a conservative force field F. The work done by the force is…Work, Energy and Power
Q44An electric power line having total resistance of 2 Ω, delivers 1 kW of power at 250 V. The percentage efficiency of transmission line is _ _ _ _.Current Electricity
Q46A capacitor P with capacitance 10×10⁻⁶ F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor P is…Electrostatics
Q47An insulated cylinder of volume 60 cm ³ is filled with a gas at 27° C and 2 atmospheric pressure. Then the gas is compressed making the final volume as 20 cm…Kinetic Theory of Gases
Q48A cylindrical conductor of length 2 m and area of cross-section 0.2 mm ² carries an electric current of 1.6 A when its ends are connected to a 2 V battery…Current Electricity
Q49Two masses m and 2m are connected by a light string going over a pulley (disc) of mass 30m with radius r=0.1 m. The pulley is mounted in a vertical plane and…Rotational Motion
Q50A conducting circular loop is rotated about its diameter at a constant angular speed of 100 rad/s in a magnetic field of 0.5 T perpendicular to the axis of…Electromagnetic Induction and Alternating Currents

Chemistry

Q51Among H₂S, H₂O, NF₃, NH₃ and CHCl₃, identify the molecule (X) with lowest dipole moment value. The number of lone pairs of electrons present on the central…Chemical Bonding and Molecular Structure
Q52Given below are two statements: Statement I: C Se>Te>Po>O is the correct order in terms of the magnitude of electron gain enthalpy values. In the light of the…Classification of Elements and Periodicity in Properties
Q53Given below are two statements: Statement I: The first ionization enthalpy of Cr is lower than that of Mn. Statement II: The second and third ionization…d- and f-Block Elements
Q54At T(K), 100 g of 98% H₂SO₄ (w/w) aqueous solution is mixed with 100 g of 49% H₂SO₄ (w/w) aqueous solution. What is the mole fraction of H₂SO₄ in the…Solutions
Q58A+2B AB₂. 36.0 g of 'A' (Molar mass: 60 g mol ⁻¹) and 56.0 g of 'B' (Molar mass: 80 g mol ⁻¹) are allowed to react. Which of the following statements are…Some Basic Concepts in Chemistry
Q59When 1 g of compound (X) is subjected to Kjeldahl's method for estimation of nitrogen, 15 mL 1 M H₂SO₄ was neutralized by ammonia evolved. The percentage of…Purification and Characterisation of Organic Compounds
Q60Match List - I with List - II. List - I (Reaction of Glucose with): A. Hydroxylamine, B. Br₂ water, C. Excess acetic anhydride, D. Concentrated HNO₃. List…Biomolecules
Q62Which of the following mixture gives a buffer solution with pH = 9.25 ? Given: pK b (NH₄OH)=4.75Equilibrium
Q63Given below are two statements: Statement I: Elements 'X' and 'Y' are the most and least electronegative elements, respectively among N, As, Sb and P. The…p-Block Elements
Q64The compound A, C₈H₈O₂ reacts with acetophenone to form a single product via cross-Aldol condensation. The compound A on reaction with conc. NaOH forms a…Organic Compounds Containing Oxygen
Q66Identify the correct statements: A. Hydrated salts can be used as primary standard. B. Primary standard should not undergo any reaction with air. C. Reactions…Principles Related to Practical Chemistry
Q67Consider the following reduction processes: Al³⁺+3e^- Al(s), E°=-1.66 V; Fe³⁺+e^- Fe²⁺, E°=+0.77 V; Co³⁺+e^- Co²⁺, E°=+1.81 V; Cr³⁺+3e^- Cr(s), E°=-0.74 V…Redox Reactions and Electrochemistry
Q68The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is:Atomic Structure
Q69[Ni(PPh₃)₂Cl₂] is a paramagnetic complex. Identify the INCORRECT statements about this complex. A. The complex exhibits geometrical isomerism. B. The complex…Coordination Compounds
Q70Correct statements regarding Arrhenius equation among the following are: A. Factor e^(-E a /RT) corresponds to fraction of molecules having kinetic energy…Chemical Kinetics
Q71Among the following oxides of 3d elements, the number of mixed oxides are _ _ _ _. Ti₂O₃, V₂O₄, Cr₂O₃, Mn₃O₄, Fe₃O₄, Fe₂O₃, Co₃O₄d- and f-Block Elements
Q72If the enthalpy of sublimation of Li is 155 kJ mol ⁻¹, enthalpy of dissociation of F₂ is 150 kJ mol ⁻¹, ionization enthalpy of Li is 520 kJ mol ⁻¹, electron…Chemical Thermodynamics
Q73Consider A k₁ B and C k₂ D are two reactions. If the rate constant (k₁) of the A B reaction can be expressed by the following equation log…Chemical Kinetics
Q74Consider the following electrochemical cell: Pt | O₂(g)(1 bar) | HCl(aq) || M²⁺(aq, 1.0 M) | M(s). The pH above which, oxygen gas would start to evolve at…Redox Reactions and Electrochemistry
Q75The mass of benzanilide obtained from the benzoylation reaction of 5.8 g of aniline, if yield of product is 82%, is _ _ _ _ g (nearest integer). (Given molar…Organic Compounds Containing Nitrogen

Mathematics

Q1The area of the region A=\(x, y): 4x²+y² ≤ 8 and y² ≤ 4x is:Integral Calculus
Q2Let S and S' be the foci of the ellipse (x²)/25+(y²)/9=1 and P(α, β) be a point on the ellipse in the first quadrant. If (SP)²+(S'P)²-SP· S'P=37, then α²+β²…Coordinate Geometry
Q3If X= x y z is a solution of the system of equations AX=B, where adj A= 4 2 2 -5 0 5 1 -2 3 and B= 4 0 2, then |x+y+z| is equal to:Matrices and Determinants
Q4Let L be the line (x+1)/2=(y+1)/3=(z+3)/6 and let S be the set of all points (a, b, c) on L, whose distance from the line (x+1)/2=(y+1)/3=(z-9)/0 along the…Three Dimensional Geometry
Q5Let the domain of the function f(x)= log ₃ log ₅(7- log ₂(x²-10x+85))+ sin ⁻¹(|(3x-7)/(17-x)|) be (α, β]. Then α+β is equal to:Sets, Relations and Functions
Q6Let f(x)=[x]²-[x+3]-3, x, where [·] is the greatest integer funtion. ThenSets, Relations and Functions
Q7Let f and g be functions satisfying f(x+y)=f(x)f(y), f(1)=7 and g(x+y)=g(xy), g(1)=1, for all x, y. If Σ x=1 ⁿ((f(x))/(g(x)))=19607, then n is equal to:Sequence and Series
Q8Let α, β be the roots of the quadratic equation 12x²-20x+3λ=0, λ. If 1/2≤|β-α|≤3/2, then the sum of all possible values of λ is:Complex Numbers and Quadratic Equations
Q10Let P(10, 2√(15)) be a point on the hyperbola (x²)/(a²)-(y²)/(b²)=1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the…Coordinate Geometry
Q11If lim x→0 (e^((a-1)x)+2 cos bx+(c-2)e⁻ˣ)/(x cos x- log e (1+x))=2, then a²+b²+c² is equal to:Limit, Continuity and Differentiability
Q12The number of elements in the relation R=\(x, y): 4x²+y²<52, x, y isSets, Relations and Functions
Q13If the mean deviation about the median of the numbers k, 2k, 3k,, 1000k is 500, then k² is equal to:Statistics and Probability
Q14Let [·] denote the greatest integer function, and let f(x)= min sqrt2 x, x². Let S= (-2,2): the function g(x)=|x|[x²] is discontinuous at x. Then Σ x S f(x)…Limit, Continuity and Differentiability
Q15Let a=2 i- j+ k and b=λ j+2 k, λ be two vectors. Let c= a× b and d be a vector of magnitude 2 in yz -plane. If | c|=√(53), then the maximum possible value of…Vector Algebra
Q16Let C r denote the coefficient of x^(r) in the binomial expansion of (1+x)ⁿ, n, 0≤ r≤ n. If P n =C₀-C₁+(2²)/3C₂-(2³)/4C₃+ +((-2)ⁿ)/(n+1)C n, then the value of…Binomial Theorem and Its Simple Applications
Q17Among the statements (S1): If A(5,-1) and B(-2,3) are two vertices of a triangle, whose orthocentre is (0,0), then its third vertex is (-4,-7) and (S2): If…Coordinate Geometry
Q18Let n be the number obtained on rolling a fair die. If the probability that the system x-ny+z=6, x+(n-2)y+(n+1)z=8, (n-1)y+z=1 has a unique solution is k/6…Matrices and Determinants
Q19Let the locus of the mid-point of the chord through the origin O of the parabola y²=4x be the curve S. Let P be any point on S. Then the locus of the point…Coordinate Geometry
Q20Let S=: 4z²+ z=0. Then Σ z S |z|² is equal to:Complex Numbers and Quadratic Equations
Q21Let cos (α+β)=-1/10 and sin (α-β)=3/8, where 0<α<(π)/3 and 0<β<(π)/4. If tan 2α=(3(1-r 5))/(√(11)(s+ 5)), r, s, then r+s is equal to _ _ _ _.Trigonometry
Q22Let S be the set of the first 11 natural numbers. Then the number of elements in A= S: n(B)≥2 and the product of all elements of B is even is _ _ _ _.Permutations and Combinations
Q23Let [·] be the greatest integer function. If α=∫₀⁶⁴(x^(1/3)-[x^(1/3)])dx, then 1/(π)∫₀^(απ)((sin ²θ)/(sin ⁶θ+ cos ⁶θ))dθ is equal to _ _ _ _.Integral Calculus
Q24Suppose a, b, c are in A.P. and a², 2b², c² are in G.P. If a<b<c and a+b+c=1, then 9(a²+b²+c²) is equal to _ _ _ _.Sequence and Series
Q25Let a vector a= 2 i- j+λ k, λ>0, make an obtuse angle with the vector b=-λ² i+4 2 j+4 2 k and an angle θ, (π)/6<θ<(π)/2, with the positive z -axis. If the set…Vector Algebra