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Past papers
JEE Main 2025
28 Jan, Evening shift
Physics
18
Chemistry
18
Physics
Q26
A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is ' -3 '…
Optics
Q27
A parallel plate capacitor of capacitance 1 μ F is charged to a potential difference of 20 V. The distance between plates is 1 μ m. The energy density between…
Electrostatics
Q30
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Knowing initial position x₀ and…
Oscillations and Waves
Q31
The ratio of vapour densities of two gases at the same temperature is 4/25, then the ratio of r.m.s. velocities will be:
Kinetic Theory of Gases
Q32
Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet…
Gravitation
Q33
The kinetic energy of translation of the molecules in 50 g of CO₂ gas at 17°C is
Kinetic Theory of Gases
Q34
A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10π rad s ⁻¹…
Electromagnetic Induction and Alternating Currents
Q36
In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A. If an…
Optics
Q38
Which of the following phenomena can not be explained by wave theory of light ?
Dual Nature of Matter and Radiation
Q39
The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as
Atoms and Nuclei
Q41
A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water ? (Given: density of water = 1000 kg m ⁻³)
Properties of Solids and Liquids
Q42
The magnetic field of an E.M. wave is given by B = ((3)/2 i + 1/2 j)30 sin [ω(t-z/c)] (S.I. Units). The corresponding electric field in S.I. units is:
Electromagnetic Waves
Q43
A balloon and its content having mass M is moving up with an acceleration 'a'. The mass that must be released from the content so that the balloon starts…
Laws of Motion
Q44
A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm mark. A mass of 400 g is suspended at 10 cm mark. To maintain the…
Rotational Motion
Q45
Match List - I with List - II. List - I: (A) Angular Impulse (B) Latent Heat (C) Electrical resistivity (D) Electromotive force List - II: (I) [M⁰L²T⁻²] (II)…
Units and Measurements
Q46
An electric dipole of dipole moment 6×10⁻⁶ Cm is placed in uniform electric field of magnitude 10⁶ V/m. Initially, the dipole moment is parallel to electric…
Electrostatics
Q48
The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of 7×10⁶ Pa, would be _ _ _ mm ³. (Given bulk…
Properties of Solids and Liquids
Q50
A thin transparent film with refractive index 1.4, is held on circular ring of radius 1.8 cm. The fluid in the film evaporates such that transmission through…
Optics
Chemistry
Q53
Match List - I with List - II. List - I (Complex): (A) [CoF₆]³⁻ (B) [NiCl₄]²⁻ (C) [Co(NH₃)₆]³⁺ (D) [Ni(CN)₄]²⁻ List - II (Hybridisation of central metal ion)…
Coordination Compounds
Q55
Arrange the following in increasing order of solubility product: Ca(OH)₂, AgBr, PbS, HgS
Equilibrium
Q57
Identify correct conversion during acidic hydrolysis from the following: (A) starch gives galactose. (B) cane sugar gives equal amount of glucose and…
Biomolecules
Q58
The purification method based on the following physical transformation is: Solid (X) Heat Vapour (X) Cool Solid (X)
Purification and Characterisation of Organic Compounds
Q59
The amphoteric oxide among V₂O₃, V₂O₄ and V₂O₅, upon reaction with alkali leads to formation of an oxide anion. The oxidation state of V in the oxide anion is:
d- and f-Block Elements
Q60
Consider an elementary reaction A(g) + B(g) → C(g) + D(g) If the volume of reaction mixture is suddenly reduced to 1/3 of its initial volume, the reaction…
Chemical Kinetics
Q62
Given below are two statements: Statement (I): According to the Law of Octaves, the elements were arranged in the increasing order of their atomic number…
Classification of Elements and Periodicity in Properties
Q63
The major product of the following reaction is: C₆H₅-CH(CH₃)-CH(Br)-CH₂-CH(Br)-CH₂-CH₃ [Δ]KOH/EtOH (excess) Major product
Organic Compounds Containing Halogens
Q64
Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric acid is _ _ _. Given: Density of nitric…
Some Basic Concepts in Chemistry
Q67
Identify correct statements: (A) Primary amines do not give diazonium salts when treated with NaNO₂ in acidic condition. (B) Aliphatic and aromatic primary…
Organic Compounds Containing Nitrogen
Q68
Given below are two statements: Statement (I): methylcyclopentane and hex-3-ene (drawn as skeletal structures) are isomeric compounds. Statement (II)…
Some Basic Principles of Organic Chemistry
Q69
Match List - I with List - II. List - I (Saccharides): (A) Sucrose (B) Maltose (C) Lactose (D) Amylopectin List - II (Glycosidic-linkages found): (I) α 1−4…
Biomolecules
Q70
Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom ? (A) 1s < 2p < 3d < 4s (B) 1s < 2s = 2p < 3s = 3p (C) 1s…
Atomic Structure
Q71
Consider the following data: Heat of formation of CO₂(g) = -393.5 kJ mol ⁻¹ Heat of formation of H₂O(l) = -286.0 kJ mol ⁻¹ Heat of combustion of benzene =…
Chemical Thermodynamics
Q72
Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for the given electrolysis is _ _…
Redox Reactions and Electrochemistry
Q73
A group 15 element forms dπ-dπ bond with transition metals. It also forms hydride, which is a strongest base among the hydrides of other group members that…
p-Block Elements
Q74
Total number of molecules/species from following which will be paramagnetic is _ _ _. O₂, O₂⁺, O₂^-, NO, NO₂, CO, K₂[NiCl₄], [Co(NH₃)₆]Cl₃, K₂[Ni(CN)₄]
Chemical Bonding and Molecular Structure
Q75
The spin only magnetic moment (μ) value (B.M.) of the compound with strongest oxidising power among Mn₂O₃, TiO and VO is _ _ _ B.M. (Nearest integer).
d- and f-Block Elements