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Past papers
JEE Main 2025
23 Jan, Morning shift
Physics
18
Chemistry
24
Physics
Q26
A light hollow cube of side length 10 cm and mass 10 g, is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time…
Oscillations and Waves
Q27
Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge…
Rotational Motion
Q29
Given below are two statements: Statement I: The hot water flows faster than cold water Statement II: Soap water has higher surface tension as compared to…
Properties of Solids and Liquids
Q30
A radioactive nucleus n₂ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n₁. If initial number of both nuclei…
Atoms and Nuclei
Q31
What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness 'h' in terms of the angle of incidence 'i' and angle of…
Optics
Q33
A solid sphere of mass 'm' and radius 'r' is allowed to roll without slipping from the highest point of an inclined plane of length 'L' and makes an angle 30°…
Rotational Motion
Q34
Given a thin convex lens (refractive index μ₂), kept in a liquid (refractive index μ₁, μ₁<μ₂) having radii of curvatures |R₁| and |R₂|. Its second surface is…
Optics
Q35
The position of a particle moving on x-axis is given by x(t)=A sin t+B cos ² t+Ct²+D, where t is time. The dimension of ABC/D is
Units and Measurements
Q36
A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down…
Thermodynamics
Q37
Match the LIST-I with LIST-II. LIST-I: A. Pressure varies inversely with volume of an ideal gas. B. Heat absorbed goes partly to increase internal energy and…
Thermodynamics
Q38
The electric field of an electromagnetic wave in free space is E=57 cos [7.5×10⁶t-5×10⁻³(3x+4y)](4 i-3 j) N/C. The associated magnetic field in Tesla is
Electromagnetic Waves
Q40
The electric flux is φ=ασ+βλ where λ and σ are linear and surface charge density, respectively. ((α)/(β)) represents
Units and Measurements
Q41
Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B. Self-inductance does not depend on the permeability of the medium…
Electromagnetic Induction and Alternating Currents
Q42
A sub-atomic particle of mass 10⁻³⁰ kg is moving with a velocity 2.21×10⁶ m/s. Under the matter wave consideration, the particle will behave closely like _ _…
Dual Nature of Matter and Radiation
Q43
A spherical surface of radius of curvature R, separates air from glass (refractive index = 1.5). The centre of curvature is in the glass medium. A point…
Optics
Q45
Consider a moving coil galvanometer (MCG): A. The torsional constant in moving coil galvanometer has dimentions [ ML²T⁻² ] B. Increasing the current…
Magnetic Effects of Current and Magnetism
Q47
Two particles are located at equal distance from origin. The position vectors of those are represented by A=2 i+3n j+2 k and B=2 i-2 j+4p k, respectively. If…
Kinematics
Q48
An ideal gas initially at 0° C temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at…
Thermodynamics
Chemistry
Q51
Given below are two statements: Statement I: In Lassaigne's test, the covalent organic molecules are transformed into ionic compounds. Statement II: The…
Purification and Characterisation of Organic Compounds
Q52
FeO₄²⁻ +2.0 V Fe³⁺ 0.8 V Fe²⁺ -0.5 V Fe⁰ In the above diagram, the standard electrode potentials are given in volts (over the arrow). The value of E^ _…
Redox Reactions and Electrochemistry
Q53
Which among the following react with Hinsberg's reagent? A. C₆H₅NH₂ (aniline) B. C₆H₅N(CH₃)₂ (N,N-dimethylaniline) C. CH₃-NH₂ D. N(CH₃)₃ E. C₆H₅-NH-C₆H₅…
Organic Compounds Containing Nitrogen
Q54
The incorrect statement among the following is
p-Block Elements
Q55
What amount of bromine will be required to convert 2 g of phenol into 2,4,6-tribromophenol? (Given molar mass in g mol⁻¹ of C, H, O, Br are 12, 1, 16, 80…
Organic Compounds Containing Oxygen
Q56
The major product of the following reaction is: CH₃CH₂CH = O [reflux]excess HCHO, alkali ?
Organic Compounds Containing Oxygen
Q57
The complex that shows Facial - Meridional isomerism is:
Coordination Compounds
Q58
Match the LIST-I with LIST-II. LIST-I (Classification of molecules based on octet rule): A. Molecules obeying octet rule B. Molecules with incomplete octet C…
Chemical Bonding and Molecular Structure
Q59
Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this? Given: Rydberg constant…
Atomic Structure
Q60
2.8×10⁻³ mol of CO₂ is left after removing 10²¹ molecules from its 'x' mg sample. The mass of CO₂ taken initially is Given: N A =6.02×10²³ mol⁻¹
Some Basic Concepts in Chemistry
Q61
The correct set of ions (aqueous solution) with same colour from the following is:
d- and f-Block Elements
Q62
The correct stability order of the following species/molecules is: p = cyclopropenyl anion, q = cyclopentadienyl anion, r = cyclooctatetraene
Hydrocarbons
Q63
Match the LIST-I with LIST-II. LIST-I (Name reaction): A. Swarts reaction B. Sandmeyer's reaction C. Wurtz Fittig reaction D. Finkelstein reaction. LIST-II…
Organic Compounds Containing Halogens
Q64
Given below are two statements: Statement I: Fructose does not contain an aldehydic group but still reduces Tollen's reagent Statement II: In the presence of…
Biomolecules
Q65
The element that does not belong to the same period of the remaining elements (modern periodic table) is:
Classification of Elements and Periodicity in Properties
Q66
Which of the following happens when NH₄OH is added gradually to the solution containing 1M A²⁺ and 1M B³⁺ ions? Given: K sp [A(OH)₂]=9×10⁻¹⁰ and K sp…
Equilibrium
Q67
The d– electronic configuration of an octahedral Co(II) complex having magnetic moment of 3.95 BM is:
Coordination Compounds
Q68
Ice at -5° C is heated to become vapor with temperature of 110° C at atmospheric pressure. The entropy change associated with this process can be obtained from
Chemical Thermodynamics
Q69
Propane molecule on chlorination under photochemical condition gives two di-chloro products, "x" and "y". Amongst "x" and "y", "x" is an optically active…
Hydrocarbons
Q70
CrCl₃.xNH₃ can exist as a complex. 0.1 molal aqueous solution of this complex shows a depression in freezing point of 0.558° C. Assuming 100% ionisation of…
Solutions
Q71
If 1 mM solution of ethylamine produces pH = 9, then the ionization constant (K b) of ethylamine is 10⁻ˣ. The value of x is _ _ (nearest integer). [The degree…
Equilibrium
Q73
During "S" estimation, 160 mg of an organic compound gives 466 mg of barium sulphate. The percentage of Sulphur in the given compound is _ _%. (Given molar…
Purification and Characterisation of Organic Compounds
Q74
Consider the following sequence of reactions to produce major product (A): 3-nitrotoluene (m-nitrotoluene) i) Br₂, Fe; ii) Sn, HCl; iii) NaNO₂, HCl, 273 K…
Organic Compounds Containing Nitrogen
Q75
For the thermal decomposition of N₂O₅(g) at constant volume, the following table can be formed, for the reaction mentioned below. 2N₂O₅(g)→2N₂O₄(g)+O₂(g)…
Chemical Kinetics