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Past papers
JEE Main 2025
7 Apr, Morning shift
Physics
16
Chemistry
19
Physics
Q26
A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the lens when it is placed in water. (Take…
Optics
Q28
The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility χ Mg =1.2×10⁻⁵)…
Magnetic Effects of Current and Magnetism
Q29
Two projectiles are fired from ground with same initial speeds from same point at angles (45°+α) and (45°-α) with horizontal direction. The ratio of their…
Kinematics
Q30
If ε₀ denotes the permittivity of free space and Φ E is the flux of the electric field through the area bounded by the closed surface, then dimensions of…
Electromagnetic Waves
Q31
For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is
Atoms and Nuclei
Q32
An ac current is represented as i=5 2+10 cos (650π t+(π)/6) Amp. The r.m.s value of the current is
Electromagnetic Induction and Alternating Currents
Q36
Two wires A and B are made of same material having ratio of lengths L A /L B =1/3 and their diameters ratio d A /d B =2. If both the wires are stretched using…
Properties of Solids and Liquids
Q37
In a hydrogen like ion, the energy difference between the 2nd excitation energy state and ground is 108.8 eV. The atomic number of the ion is:
Atoms and Nuclei
Q40
Two plane polarized light waves combine at a certain point whose electric field components are E₁=E₀ sin ω t, E₂=E₀ sin (ω t+(π)/3). Find the amplitude of the…
Optics
Q41
Match the LIST-I with LIST-II. LIST-I: A. Triatomic rigid gas; B. Diatomic non-rigid gas; C. Monoatomic gas; D. Diatomic rigid gas. LIST-II: I. C p /C v =5/3…
Kinetic Theory of Gases
Q42
A cubic block of mass m is sliding down on an inclined plane at 60° with an acceleration of g/2, the value of coefficient of kinetic friction is
Laws of Motion
Q43
Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:
Optics
Q44
Two harmonic waves moving in the same direction superimpose to form a wave x=a cos (1.5t) cos (50.5t) where t is in seconds. Find the period with which they…
Oscillations and Waves
Q45
An object of mass 1000 g experiences a time dependent force F=(2t i+3t² j) N. The power generated by the force at time t is:
Work, Energy and Power
Q47
A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727° C and power radiated by the wire is 94.2 W. Its emissivity…
Thermodynamics
Q50
A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above…
Optics
Chemistry
Q51
Which of the following amine (s) show (s) positive carbylamine test? A. Aniline (C₆H₅NH₂, benzene ring bearing NH₂) B. (CH₃)₂NH C. CH₃NH₂ D. (CH₃)₃N E…
Organic Compounds Containing Nitrogen
Q52
The group 14 elements A and B have the first ionisation enthalpy values of 708 and 715 kJ mol ⁻¹ respectively. The above values are lowest among their group…
p-Block Elements
Q53
Given below are two statements: Statement I: D-(+)-glucose + D-(+) fructose -H₂O Sucrose; sucrose hydrolysis D-(+) glucose + D-(+) fructose. Statement II…
Biomolecules
Q54
Which of the following compounds is least likely to give effervescence of CO₂ in presence of aq. NaHCO₃ ?
Organic Compounds Containing Oxygen
Q55
The reactions which cannot be applied to prepare an alkene by elimination, are A. 1-Bromo-2-methylcyclohexane NaOEt B. CH₃-CH₂-CH(Br)-CH₃ KOH(aq) C…
Hydrocarbons
Q56
An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would (Given log…
Equilibrium
Q57
Total enthalpy change for freezing of 1 mol of water at 10° C to ice at -10° C is _ _ _ (Given: Δ fus H=x kJ/mol, C p [H₂O(l)]=y J mol ⁻¹ K ⁻¹, C p [H₂O(s)]=z…
Chemical Thermodynamics
Q59
Given below are two statements: Statement I: Ozonolysis followed by treatment with Zn, H₂O of cis-2-butene gives ethanal. Statement II: The product obtained…
Hydrocarbons
Q60
Given below are two statements: Statement I: Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulfate. Statement II: If the molar…
Redox Reactions and Electrochemistry
Q61
Reaction A(g)→2B(g)+C(g) is a first order reaction. It was started with pure A. [Table: t/min = 10, pressure of system at time t = 160 mm Hg; t = ∞, pressure…
Chemical Kinetics
Q62
The number of valence electrons present in the metal among Cr, Co, Fe and Ni which has the lowest enthalpy of atomisation is
d- and f-Block Elements
Q63
An octahedral complex having molecular composition Co·5NH₃· Cl· SO₄ has two isomers A and B. The solution of A gives a white precipitate with AgNO₃ solution…
Coordination Compounds
Q64
At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0, oxygen gas: 27.0 and argon gas: 3.0. If total pressure is 1.15 atm…
Gaseous State
Q67
When a salt is treated with sodium hydroxide solution it gives gas X. On passing gas X through reagent Y a brown coloured precipitate is formed. X and Y…
Principles Related to Practical Chemistry
Q68
Match the LIST-I with LIST-II. LIST-I (Molecule / ion): A. ICl₂^(- B). H₂O C. SO₂ D. XeF₄. LIST-II (Bond pair: lone pair on the central atom): I. 4: 2 II. 4…
Chemical Bonding and Molecular Structure
Q69
The first transition series metal 'M' has the highest enthalpy of atomisation in its series. One of its aquated ion (Mⁿ⁺) exists in green colour. The nature…
d- and f-Block Elements
Q71
An organic compound weighing 500 mg, produced 220 mg of CO₂, on complete combustion. The percentage composition of carbon in the compound is _ _ _%. (nearest…
Purification and Characterisation of Organic Compounds
Q74
The percentage dissociation of a salt (MX₃) solution at given temperature (van't Hoff factor i = 2) is _ _ _%(Nearest integer)
Solutions
Q75
The number of paramagnetic complexes among [FeF₆]³⁻, [Fe(CN)₆]³⁻, [Mn(CN)₆]³⁻, [Co(C₂O₄)₃]³⁻, [MnCl₆]³⁻, and [CoF₆]³⁻, which involved d²sp³ hybridization is _…
Coordination Compounds