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Past papers
JEE Main 2025
2 Apr, Morning shift
Physics
22
Chemistry
21
Physics
Q26
Match List - I with List - II. List - I: (A) Coefficient of viscosity (B) Intensity of wave (C) Pressure gradient (D) Compressibility. List - II: (I) [ ML⁰T⁻³…
Units and Measurements
Q27
A particle is subjected to two simple harmonic motions as: x₁ = √(7) sin 5t cm and x₂ = 2√(7) sin (5t + (π)/3) cm where x is displacement and t is time in…
Oscillations and Waves
Q29
The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged ?
Current Electricity
Q30
A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10 kg and radius is 10 cm and it…
Rotational Motion
Q31
Considering Bohr's atomic model for hydrogen atom: (A) the energy of H atom in ground state is same as energy of He⁺ ion in its first excited state. (B) the…
Atoms and Nuclei
Q32
The relationship between the magnetic susceptibility (χ) and the magnetic permeability (μ) is given by: (μ₀ is the permeability of free space and μ r is…
Magnetic Effects of Current and Magnetism
Q33
A small bob of mass 100 mg and charge +10 μ C is connected to an insulating string of length 1 m. It is brought near to an infinitely long non-conducting…
Electrostatics
Q34
A river is flowing from west to east direction with speed of 9 km h ⁻¹. If a boat capable of moving at a maximum speed of 27 km h ⁻¹ in still water, crosses…
Kinematics
Q35
A monochromatic light is incident on a metallic plate having work function φ. An electron, emitted normally to the plate from a point A with maximum kinetic…
Dual Nature of Matter and Radiation
Q36
Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is ' α '. Now the rod is cut into two…
Rotational Motion
Q37
In an adiabatic process, which of the following statements is true ?
Thermodynamics
Q38
A point charge +q is placed at the origin. A second point charge +9q is placed at (d, 0, 0) in Cartesian coordinate system. The point in between them where…
Electrostatics
Q40
A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V. For a 400 Ω resistor connected in series, the zener current…
Electronic Devices
Q42
The equation for real gas is given by (P + a/(V²))(V - b) = RT, where P, V, T and R are the pressure, volume, temperature and gas constant, respectively. The…
Units and Measurements
Q43
Let B₁ be the magnitude of magnetic field at center of a circular coil of radius R carrying current I. Let B₂ be the magnitude of magnetic field at an axial…
Magnetic Effects of Current and Magnetism
Q44
A light wave is propagating with plane wave fronts of the type x + y + z = constant. The angle made by the direction of wave propagation with the x -axis is:
Optics
Q45
Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density +σ and -2σ. The…
Electrostatics
Q46
If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is…
Optics
Q47
A steel wire of length 2 m and Young's modulus 2.0 × 10¹¹ N m ⁻² is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and 10⁻³…
Properties of Solids and Liquids
Q48
A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 cm ² with hinged door is fitted at a depth of 3 m in the…
Properties of Solids and Liquids
Q49
A person travelling on a straight line moves with a uniform velocity v₁ for a distance x and with a uniform velocity v₂ for the next 3/2x distance. The…
Kinematics
Q50
γ A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. γ B is the specific heat ratio of polyatomic gas B having 3…
Kinetic Theory of Gases
Chemistry
Q51
On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of CO₂ and 0.567 g of H₂O. The empirical formula mass of compound (X) is _ _ _ g. (Given…
Some Basic Concepts in Chemistry
Q52
CaCO₃(s) + 2HCl(aq) → CaCl₂(aq) + CO₂(g) + H₂O(l) Consider the above reaction, what mass of CaCl₂ will be formed if 250 mL of 0.76 M HCl reacts with 1000 g of…
Some Basic Concepts in Chemistry
Q53
According to Bohr's model of hydrogen atom, which of the following statement is incorrect ?
Atomic Structure
Q54
Two vessels A and B are connected via stopcock. The vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water and is…
Chemical Thermodynamics
Q55
Consider the following compound (X): H- I C C- II CH₂ - III CH (CH₃)- IV CH₃ (X). The most stable and least stable carbon radicals, respectively, produced by…
Some Basic Principles of Organic Chemistry
Q56
Given below are two statements: Statement (I): In octahedral complexes, when Δ o < P high spin complexes are formed. When Δ o > P low spin complexes are…
Coordination Compounds
Q57
Among SO₂, NF₃, NH₃, XeF₂, ClF₃ and SF₄, the hybridization of the molecule with non-zero dipole moment and highest number of lone-pairs of electrons on the…
Chemical Bonding and Molecular Structure
Q59
Given below are two statements: Statement (I): The metallic radius of Al is less than that of Ga. Statement (II): The ionic radius of Al³⁺ is less than that…
Classification of Elements and Periodicity in Properties
Q60
A molecule with the formula AX₄Y has all it's elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and has the lowest…
p-Block Elements
Q61
The property/properties that show irregularity in first four elements of group-17 is/are: (A) Covalent radius (B) Electron affinity (C) Ionic radius (D) First…
p-Block Elements
Q62
Consider the following molecules: (p) CH₃-CH₂-CO-Cl (q) CH₃-CH₂-CO-O-CO-CH₃ (r) CH₃-CH₂-CO-O-CH₂-CH₃ (s) CH₃-CH₂-CO-NH₂. The correct order of rate of…
Organic Compounds Containing Oxygen
Q63
A solution is made by mixing one mole of volatile liquid A with 3 moles of volatile liquid B. The vapour pressure of pure A is 200 mm Hg and that of the…
Solutions
Q65
An optically active alkyl halide C₄H₉Br [A] reacts with hot KOH dissolved in ethanol and forms alkene [B] as major product which reacts with bromine to give…
Hydrocarbons
Q66
Given below are two statements: Statement (I): Vanillin (4-hydroxy-3-methoxybenzaldehyde) will react with NaOH and also with Tollen's reagent. Statement (II)…
Organic Compounds Containing Oxygen
Q67
Choose the correct tests with respective observations. (A) CuSO₄ (acidified with acetic acid) + K₄[Fe(CN)₆] → Chocolate brown precipitate. (B) FeCl₃ +…
Principles Related to Practical Chemistry
Q68
Identify the correct statement among the following:
Biomolecules
Q69
The correct order of basic nature in aqueous solution for the bases NH₃, H₂N-NH₂, CH₃CH₂NH₂, (CH₃CH₂)₂NH and (CH₃CH₂)₃N is:
Organic Compounds Containing Nitrogen
Q70
If equal volumes of AB₂ and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of AY₂ at 300 K ?…
Equilibrium
Q72
For the reaction A → products. [Graph: t 1/2 /min versus [A]₀ /mol L ⁻¹ is a straight line through the origin with slope = 76.92 (appropriate units).] The…
Chemical Kinetics
Q73
Consider the following electrochemical cell at standard condition. Au(s)|QH₂, Q|NH₄X(0.01 M)||Ag⁺(1 M)|Ag(s) E cell = +0.4 V. The couple QH₂/Q represents…
Redox Reactions and Electrochemistry
Q75
A transition metal (M) among Mn, Cr, Co and Fe has the highest standard electrode potential (M³⁺/M²⁺). It forms a metal complex of the type [M(CN)₆]⁴⁻. The…
Coordination Compounds