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JEE Main 2026 January 24, Shift 1 Question Paper with Solutions

All 74 questions from the JEE Main 2026 (January 24, Shift 1) shift — Physics (24), Chemistry (25) and Mathematics (25) — each with the correct answer (answer key) and a step-by-step solution. Read it free online, or attempt the full paper as a timed mock test.

Physics24 questions

Q26Single correctProperties of Solids and Liquids
Density of water and are and respectively the increase in internal energy of of water when it is heated from to is ____ J. (specific heat capacity of water and atmospheric pressure )
(A)
(B)
(C)
(D)
Q27Single correctOptics
In a microscope of tube length , two convex len's are arranged with focal length of and Total magnification obtained with this system for normal advistament is the value of K is
(A)
(B)
(C)
(D)
Q28Single correctAtoms and Nuclei
Two electrons are moving in orbits of two hydrogen like atoms with speed and respectively. If the radii of these orbits are nearly same then, the possible order of energy states are ____ respectively
(A)
(B)
(C)
(D)
Q29Single correctOptics
An unpolarised light is incident at an interface of two dielectric media having refractive indices of and respectively to satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ___
(A)
(B)
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(D)
Q30Single correctMagnetic Effects of Current and Magnetism
Match the list -1 with list-II
List-IList-II
A. Magnetic inductionI.
B. Magnetic fluesII.
C. Magnetic permeabilityIII.
D. Self inductionIV.
(A)
(B)
(C)
(D)
Q31Single correctElectromagnetic Induction and Alternating Currents
For a series LCR circuit connected with a.c source as shown in the figure The power factory is the valve of is ___
Series LCR circuit drawn as a rectangular loop. A 220 V, 50 Hz AC source (circle with sine wave) is in the top wire. The bottom wire carries, left to right in series, an inductor L (X_L = 70 ohm), a capacitor C (X_C = 150 ohm), and a resistor R (60 ohm).
(A)
(B)
(C)
(D)
Q32Single correctElectromagnetic Waves
Match the list -1 with list-II
List-IList-II
A. Ratio waveI. Is produced by magnetron value
B. Micro waveII. Due to change in vibrational modes of atoms
C. Infrared - waveIII. Due to inner shell electron moving from higher energy level to lower energy level
D. X-rayIV. Due to rapid acceleration of chares
(A)
(B)
(C)
(D)
Q33Single correctOscillations and Waves
A cylindrical block of mass M and area of cross section A is floating in a liquid of density and with x-axis vertical when depressed a little an released the block starts oscillating the period of oscillation is ___
(A)
(B)
(C)
(D)
Q34Single correctAtoms and Nuclei
Given below are two statements:
Statement -I :- For all elements, grater then mass of the nucleus, greater is the binding energy per nucleon
Statement -II :-For all elements, nuclei with less binding energy per nucleon transforms to nuclei with grater bonding energy per nucleon
In the light of the above statements, choose the correct answer from the option given below
(A)
(B)
(C)
(D)
Q35Single correctElectrostatics
The electro static potential in a charged spherical region of radius r varies as . where a and b are constants. The total charge in the sphere of unit radius is . The value of is ______. (permittivity of vacuum is )
(A)
(B)
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(D)
Q36Single correctElectrostatics
Three charges and are satiated at and respectively in the x y plane. The resultant dipole moment about origin is______.
(A)
(B)
(C)
(D)
Q37Single correctCurrent Electricity
Two resistor's of each are connected in series with a battery a voltmeter of resistance is connected two measure the voltage drop a cross one of the resistance the voltmeter reading is______V
(A)
(B)
(C)
(D)
Q38Single correctRotational Motion
Two masses 400g and 350g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm when released from rest the heavier mass is observed to fall 81 cm is 9s. The rotational inertia of the pulley is ___kg.. (g=9.8 m/)
(A)
(B)
(C)
(D)
Q39Single correctKinematics
A boy throw's a ball in to air at 4 from the horizontal to land on a roof of a building of height H. If the ball attains maximum height in 2s and land on the building in 3s after launch then the value of H is ___m (g=10 m/)
(A)
(B)
(C)
(D)
Q40Single correctProperties of Solids and Liquids
A brass wire of length 2m and radius 1mm at 2c is held taut between two rigid supports initially it was cooled to temperature of -4c creating a tension T in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4T is ___c
(A)
(B)
(C)
(D)
Q41Single correctGravitation
Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged on the vertices of a bigger triangle of side 25 m and with same centre. The work done in this process is ___J. (Gravitational constant )
(A)
(B)
(C)
(D)
Q42Single correctCurrent Electricity
Two resistors and are connected in the gap of bridge as shown in fig the null point is obtained with the contact of jockey at some point on wire XY. When an unknown resistor is connected in parallel with resistor, the null point is shifted by 22.5cm towards Y. The resistance of unknown resistor is ___
Metre-bridge circuit as a rectangular loop. The top side has two resistors in series, 2 ohm on the left and 3 ohm on the right, meeting at a central junction. From that junction a jockey contact (wavy line) runs down to the bottom wire XY, with X at the bottom-left and Y at the bottom-right.
(A)
(B)
(C)
(D)
Q43Single correctOscillations and Waves
A spring of force constant 15N/m is cut into two pieces If the ratio of their lengths is 1:3, then force constant of smaller pieces is ___N/m
(A)
(B)
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(D)
Q44Single correctOptics
The exit surface of prism with Refractive index n is coated with material having Refractive index n/2 when this prism is set for minimum angle of deviation It Exactly meet's the condition of critical angle, the prism angle is ___
(A)
(B)
(C)
(D)
Q45NumericalLaws of Motion
In the given figure the blocks A, B and C weigh 4 kg , 6 kg and 8 kg respectively. The co-efficient of sliding friction between any two surfaces is 0.5. The force F required to slide the block C with constant speed is ___N. (Use g=10 m/)
Block C rests on hatched ground. Hatched block A sits on the top-left of C. At the top-right corner of C a pulley is mounted against a fixed hatched vertical wall. A string runs horizontally from block A over the pulley and down to a hanging block. A leftward force F (vector arrow) is applied to the left face of block C.
Q46NumericalElectronic Devices
A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W, is operated at 15 V. The approximate value of protective resistance in this circuit is ___
Q47NumericalKinetic Theory of Gases
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50 C. The gas is now heated to double its temperature. The modified pressure is ___Pa.
Q48NumericalMagnetic Effects of Current and Magnetism
A short bar magnet placed with its axis at 3 with an external field of 800 Gauss, experiences a torque of 0.016 N.m. The work done in moving it from most stable to most unstable position is . The value of is ___
Q49NumericalProperties of Solids and Liquids
Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of 10 cm/s coalesce to form a bigger drop. The terminal velocity of bigger drop is ___ cm/s.

Chemistry25 questions

Q50Single correctCoordination Compounds
Given below are two statements:
Statement-I: Hybridisation, shape and spin only magnetic moment of is , octahedral and 4.9 BM respectively.
Statement-II: Geometry, hybridisation and spin only magnetic moment values (BM) of the ions , and respectively are square planar, tetrahedral, octahedral; , , and 0, 5.9, 4.9.
In light of the above statements, choose the correct answer from the options given below
(A)
(B)
(C)
(D)
Q51Single correctChemical Bonding and Molecular Structure
Given below are statements about some molecules/ions.
Identify the CORRECT statements.
A. The dipole moment value of is higher than that of .
B. The dipole moment value of is zero.
C. The bond order of and is same.
D. The formal charge on the central oxygen atom of ozone is -1.
E. In , all the three atoms satisfy the octet rule, hence it is very stable.
Choose the correct answer from the options given below:
(A)
(B)
(C)
(D)
Q52Single correctSome Basic Principles of Organic Chemistry
Arrange the following combinations in the decreasing order of stability
Five para-substituted benzylic carbanion species labelled I to V, each drawn as a benzene ring written as C6H4 (or C6H5) attached to a CH2 carbanion carbon bearing a lone pair (two dots) and a circled negative charge.
(A)
(B)
(C)
(D)
Q53Single correctOrganic Compounds Containing Nitrogen
The correct stability order of the following diazonium salts is
Four benzenediazonium chloride structures drawn in a row, each a benzene ring with a diazonium group at the top and labelled A, B, C, D by para substituent: A has para-OCH3, B has para-NO2, C is unsubstituted, D has para-CN.
(A)
(B)
(C)
(D)
Q54Single correctChemical Bonding and Molecular Structure
Among the following, the correct combinations are
A.
B.
C.
D.
Choose the correct answer from the options given below:
(A)
(B)
(C)
(D)
Q55Single correctChemical Thermodynamics
A D is an endothermic reaction occurring in three steps (elementary).
(i)
(ii)
(iii)
Which of the following graphs between potential energy (y-axis) vs reaction coordinate (x-axis) correctly represents the reaction profile of A D?
(A)
(B)
(C)
(D)
Q56Single correctOrganic Compounds Containing Halogens
Given below are two statements
Statement-I: 'C - Cl' bond is strong in than
Statement-II: The given optically active molecule, on hydrolysis gives a solution that can rotate the plane polarized light.
In the light of the above statements, choose the correct answer from the options given below.
A wedge-dash structure of a chiral carbon bonded to four different groups: a phenyl (Ph) group on a plain bond, a methyl (Me) group on a hashed (dashed) bond, a chlorine (Cl) on a plain horizontal bond, and an ethyl (Et) group on a bold wedge bond.
(A)
(B)
(C)
(D)
Q57Single correctOrganic Compounds Containing Halogens
Match List-I with List-II
List-I (Chloro derivative)List-II (Example)
A. Vinyl ChlorideI.
B. Benzyl ChlorideII.
C. Alkyl ChlorideIII.
D. Allyl ChlorideIV.
(A)
(B)
(C)
(D)
Q58Single correctCoordination Compounds
Consider a mixture 'X' which is made by dissolving 0.4 mol of and 0.4 mol of in water to make 4 L of solution. When 2 L of mixture 'X' is allowed to react with excess of , it forms precipitate 'Y'. The rest 2 L of mixture 'X' reacts with excel to form precipitate 'Z'. which of the following statements is CORRECT?
(A)
(B)
(C)
(D)
Q59Single correctPrinciples Related to Practical Chemistry
Consider three metal chlorides x, y and z, where x is water soluble at room temperature, y is sparingly soluble in water at room temperature and z is soluble in hot water. x, y and z re respectively
(A)
(B)
(C)
(D)
Q60Single correctOrganic Compounds Containing Oxygen
A student is given one compound among the following compounds that gives positive test with Tollen's reagent.
The compound is
Four oxygen-containing five-membered (tetrahydrofuran-type) ring structures labelled A, B, C, D. A: ring with OCH3 at the 2-position (carbon adjacent to ring oxygen). B: ring with OCH3 at the 3-position. C: ring with OH at the 2-position (adjacent to ring oxygen). D: ring with OH at the 3-position.
(A)
(B)
(C)
(D)
Q61Single correctOrganic Compounds Containing Oxygen
Consider the following two reactions A and B
Two reaction schemes. Reaction (A): a benzene ring bearing an OH group (phenol) reacts with Na over an arrow to give 'Main Product + gas (x)'. Reaction (B): a benzene ring bearing a COOH group (benzoic acid) reacts with NaHCO3 over an arrow to give 'Main Product + gas (y)'.
(A)
(B)
(C)
(D)
Q62Single correctCoordination Compounds
Given below are two statements;
Statement-I: The number of paramagnetic species among , , and is 3.
Statement-II: is the correct order in terms of number of unpaired element(s) present in the complexes.
In the light of the above statements, choose the correct answer from the options given below
(A)
(B)
(C)
(D)
Q63Single correctClassification of Elements and Periodicity in Properties
Given below are two statements:
Statement-I: is the correct order in terms of metallic character.
Statement-II: Atomic radius is always greater than the ionic radius for any element.
In the light of the above statements, the correct answer from the options given below
(A)
(B)
(C)
(D)
Q64Single correctSolutions
A solution is prepared by dissolving 0.3 g of non-volatile non-electrolyte solute 'A' of molar mass 60 g mo and 0.9 g of non-volatile non-electrolyte solute 'B' of molar mass 180 g mo in 100 mL O at . Osmatic pressure of the solution will be [Given: R = 0.082 L atm mo]
(A)
(B)
(C)
(D)
Q65Single correctOrganic Compounds Containing Oxygen
The hydroxy compound (X) with molar mass 122 g mo is acetylated with acetic anhydride, using a large excess of the reagent ensuring complete acetylation of all hydroxyl groups. The product obtained has a molar mass of 290 g mo. The number of hydroxyl groups present in compound (X) is:
(A)
(B)
(C)
(D)
Q66Single correctChemical Kinetics
At in presence of a catalyst, activation energy of a reaction is lowered by 10 kJ mo. The logarithm of ratio of is …. (Consider that the frequency factor for both reactions is same)
(A)
(B)
(C)
(D)
Q67Single correctHydrocarbons
Arrange the following alkenes in decreasing order of stability
Four skeletal alkene structures labelled I, II, III and IV. I is a tetrasubstituted alkene (four alkyl groups, no vinylic H); II is a trans (E) disubstituted alkene; III is a trisubstituted alkene; IV is a cis (Z) disubstituted alkene.
(A)
(B)
(C)
(D)
Q68Single correctSolutions
'W' g of non-volatile electrolyte solid solute of molar mass 'M' g mo when dissolved in 100 mL water, decreases vapour pressure of water from 640mm Hg to 600 mm Hg. If aqueous solution of the electrolyte boils at 375 K and for water is 0.52 K kg mo, then the mole fraction of the electrolyte solution () in the solution can be expressed as ( Given: Density of water = 1 g/mL and boiling point of water = 373 K)
(A)
(B)
(C)
(D)
Q69Single correctChemical Thermodynamics
Match List-I with List-II
List-I (Isothermal process for ideal gas system)List-II (Work done )
A. Reversible expansionI.
B. Free expansionII.
C. Irreversible expansionIII.
D. Irreversible compressionIV.
(A)
(B)
(C)
(D)
Q70NumericalRedox Reactions and Electrochemistry
X and Y are the number of electrons involved, respectively during the oxidation of I to and to S by acidified . The value of X + Y is ____.
Q71NumericalRedox Reactions and Electrochemistry
Electricity is passed through an acidic solution of till all the was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is __mL. (nearest integer)


Molar mass of Cu = 63.54 g mo
Molar mass of = 32 g mo
Faraday Constant = 96500 C mo
Molar volume at STP = 22.4 L
Q72NumericalEquilibrium
Consider two group IV metal ions and
A solution containing 0.01 M and 0.01 M is saturated with S. The pH at which the metal sulphide YS will form as a precipitate is … (nearest integer)
(Given: (XS) = 1 1 at , (YS) = 4 1 at , [S] = 0.1M in solution, (S) = 1.0 1, log 2 = 0.30, log 3 = 0.48, log 5 = 0.70)
Q73NumericalAtomic Structure
The hydrogen spectrum consists of several spectral lines in Lyman series (, , …..; has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series (, , …; has lowest energy among Balmer lines). The energy of is x times the energy of . The value of x is … x 1 (Nearest integer)
Q74NumericalPurification and Characterisation of Organic Compounds
In Dumas method for estimation of nitrogen, 0.50 g of an organic compound gave 70 mL of nitrogen collected at 300 K and 715 mm pressure. The percentage of nitrogen in the organic compound is ….% (Aqueous tension at 300 K is 15 mm).

Mathematics25 questions

Q1Single correctComplex Numbers and Quadratic Equations
Let then is equal to
(A)
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(D)
Q2Single correctLimit, Continuity and Differentiability
If the function is continues at then the value of is equal to
(A)
(B)
(C)
(D)
Q3Single correctCo-ordinate Geometry
Let a circle of radius pass through the origin O. The Points and where a and b are real parameters . Then the locus of the centroid is circle of radius
(A)
(B)
(C)
(D)
Q4Single correctSequence and Series
Consider an A.P : If and then is equal to
(A)
(B)
(C)
(D)
Q5Single correctLimit, Continuity and Differentiability
Let such that the function be differentiable at all then
(A)
(B)
(C)
(D)
Q6Single correctIntegral Calculus
Let . if and then equals
(A)
(B)
(C)
(D)
Q7Single correctBinomial Theorem and its Simple Applications
Let Up to 13 terms. If then is equal to
(A)
(B)
(C)
(D)
Q8Single correctComplex Numbers and Quadratic Equations
The number of real solutions of a the equation is
(A)
(B)
(C)
(D)
Q9Single correctThree Dimensional Geometry
Let the lines and intersect at the point R. Let P and Q be the points lying on the lines and respectively such that and and if the Point P lies in the 1st octant then is equal to
(A)
(B)
(C)
(D)
Q10Single correctStatistics and Probability
From a lot containing 10 defective and 90 and defective bulbs, 8 bulbs are selected one by one with replacement then the probability of getting at least 7 defective bulbs is
(A)
(B)
(C)
(D)
Q11Single correctCo-ordinate Geometry
Let and be three points. If the equation of bisector of the angle ABC is then the value of is
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(D)
Q12Single correctTrigonometry
The value of is equal to
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(B)
(C)
(D)
Q13Single correctLimit, Continuity and Differentiability
If the Domain of the function is then equals
(A)
(B)
(C)
(D)
Q14Single correctStatistics and Probability
The mean and variance of data of 10 observations are 10 and 2 respectively. If an observation in this data is replaced by , then the mean and variance become 10.1 and 1.99 respectively then equals
(A)
(B)
(C)
(D)
Q15Single correctTrigonometry
If for some then is equal to
(A)
(B)
(C)
(D)
Q16Single correctCo-ordinate Geometry
Let each of the two ellipses and have eccentricity . Let the Length of the latusrecta of and be respectively such that . If the distance between foci of is 8. Then the difference between foci of is
(A)
(B)
(C)
(D)
Q17Single correctSets, Relations and Functions
Let R be relation defined on the set by then the number of elements in R is
(A)
(B)
(C)
(D)
Q18Single correctSequence and Series
Let be a sequence and denote the product of the first n terms of the sequence. If and gcd of then is equal to
(A)
(B)
(C)
(D)
Q19Single correctIntegral Calculus
Let the bounded area enclosed by the curves and y-axis that lies in the first quadrant. Let be bonded area enclosed by the curves and y-axis that lies in the first quadrant then is equal to
(A)
(B)
(C)
(D)
Q20Single correctVector Algebra
Let , and . Let be a vector such that , and angle between and is . Then is equal to
(A)
(B)
(C)
(D)
Q21NumericalPermutations and Combinations
The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits 0, 1, 2, 5, 9, if the repetition of the digits is allowed is___
Q22NumericalIntegral Calculus
Let a differentiable function f satisfy the equation . If is a standard parabola passing through the points and then is equal to______
Q23NumericalMatrices and Determinants
The number of matrices A. which can be formed using the elements of the set such that the sum of all the diagonal elements of is 5, is _________
Q24NumericalLimit, Continuity and Differentiability
Let be the largest interval in which the function is strictly decreasing. Then the local maximum value of the function , is________
Q25NumericalThree Dimensional Geometry
Let a line L passing through the point be perpendicular to the lines and . Let the line L intersect the yz-plane at the point Q. Another line parallel to L and passing through the point intersects the yz-plane at point R. Then the square of the area of the parallelogram PQRS is equal to_________

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How many questions are in the JEE Main 2026 January 24, Shift 1 paper?

The JEE Main 2026 January 24, Shift 1 paper has 74 questions — Physics (24), Chemistry (25) and Mathematics (25). Every question is on this page with its correct answer and a step-by-step solution.

What is the marking scheme for JEE Main?

JEE Main awards +4 marks for each correct answer and −1 for a wrong answer, with 0 for questions left unattempted. The paper covers Physics, Chemistry and Mathematics.

Are the answer key and step-by-step solutions provided for the 2026 January 24, Shift 1 paper?

Yes — every question shows the correct answer (answer key) and a detailed step-by-step solution, free to read online.

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