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Past papers
JEE Main 2025
24 Jan, Morning shift
Physics
24
Chemistry
20
Physics
Q26
For an experimental expression y=(32.3×1125)/27.4, where all the digits are significant. Then to report the value of y we should write
Units and Measurements
Q27
A force F=α+β x² acts on an object in the x-direction. The work done by the force is 5 J when the object is displaced by 1 m. If the constant α=1 N then β…
Work, Energy and Power
Q28
An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature. A. The work done by gas…
Thermodynamics
Q29
A uniform solid cylinder of mass 'm' and radius 'r' rolls along an inclined rough plane of inclination 45°. If it starts to roll from rest from the top of the…
Rotational Motion
Q30
An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m³. If the pressure inside the bubble is 2100…
Properties of Solids and Liquids
Q31
Consider the following statements: A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar cells are not connected with any…
Electronic Devices
Q32
A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm. If D and d are the total distance and displacement covered by the…
Oscillations and Waves
Q33
A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver…
Optics
Q34
The amount of work done to break a big water drop of radius 'R' into 27 small drops of equal radius is 10 J. The work done required to break the same big drop…
Properties of Solids and Liquids
Q35
Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is the electric field and ε₀ is the permittivity of…
Electrostatics
Q36
An electron of mass 'm' with an initial velocity v=v₀ i (v₀>0) enters an electric field E=-E₀ k. If the initial de Broglie wavelength is λ₀, the value after…
Dual Nature of Matter and Radiation
Q37
A car of mass 'm' moves on a banked road having radius 'r' and banking angle θ. To avoid slipping from banked road, the maximum permissible speed of the car…
Laws of Motion
Q38
An alternating current is given by I=I A sin ω t+I B cos ω t. The r.m.s current will be
Electromagnetic Induction and Alternating Currents
Q39
A parallel plate capacitor was made with two rectangular plates, each with a length of l=3 cm and breath of b=1 cm. The distance between the plates is 3 μ m…
Electrostatics
Q40
What is the relative decrease in focal length of a lens for an increase in optical power by 0.1D from 2.5D? ['D' stands for dioptre]
Optics
Q41
During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å and it becomes 6000 Å when the…
Atoms and Nuclei
Q42
An object of mass 'm' is projected from origin in a vertical xy plane at an angle 45° with the x-axis with an initial velocity v₀. The magnitude and direction…
Rotational Motion
Q43
A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f₁ in air. Another plano-convex lens with first surface radius…
Optics
Q44
The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least…
Optics
Q45
A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period…
Gravitation
Q46
A current of 5A exists in a square loop of side 1/(2) m. Then the magnitude of the magnetic field B at the centre of the square loop will be p×10⁻⁶ T. where…
Magnetic Effects of Current and Magnetism
Q48
A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _ _ ohm.
Current Electricity
Q49
The temperature of 1 mole of an ideal monoatomic gas is increased by 50° C at constant pressure. The total heat added and change in internal energy are E₁ and…
Thermodynamics
Q50
The least count of a screw guage is 0.01 mm. If the pitch is increased by 75% and number of divisions on the circular scale is reduced by 50%, the new least…
Units and Measurements
Chemistry
Q51
Given below are two statements: Statement I: The conversion proceeds well in the less polar medium. CH₃-CH₂-CH₂-CH₂-Cl HO^- CH₃-CH₂-CH₂-CH₂-OH+Cl^- Statement…
Organic Compounds Containing Halogens
Q52
Preparation of potassium permanganate from MnO₂ involves two step process in which the 1st step is a reaction with KOH and KNO₃ to produce
d- and f-Block Elements
Q55
K sp for Cr(OH)₃ is 1.6×10⁻³⁰. What is the molar solubility of this salt in water?
Equilibrium
Q56
One mole of the octahedral complex compound Co(NH₃)₅Cl₃ gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of…
Coordination Compounds
Q57
The product (A) formed in the following reaction sequence is CH₃-C CH [iii) H₂/Ni]i) Hg²⁺, H₂SO₄; ii) HCN(A)
Hydrocarbons
Q59
Which of the following ions is the strongest oxidizing agent? (Atomic Number of Ce = 58, Eu = 63, Tb = 65, Lu = 71)
d- and f-Block Elements
Q60
Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of…
Chemical Thermodynamics
Q61
For a reaction, N₂O 5(g) →2NO 2(g) +1/2O 2(g) in a constant volume container, no products were present initially. The final pressure of the system when 50% of…
Chemical Kinetics
Q62
For the given cell Fe²⁺ (aq) +Ag⁺ (aq) → Fe³⁺ (aq) +Ag (s) The standard cell potential of the above reaction is Given: Ag⁺+e^-→ Ag, E^ =x V Fe²⁺+2e^-→ Fe, E^…
Redox Reactions and Electrochemistry
Q64
The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of
p-Block Elements
Q65
Which of the following statement is true with respect to H₂O, NH₃ and CH₄ ? A. The central atoms of all the molecules are sp³ hybridized. B. The H–O–H, H–N–H…
Chemical Bonding and Molecular Structure
Q66
Which of the following statements are NOT true about the periodic table? A. The properties of elements are function of atomic weights. B. The properties of…
Classification of Elements and Periodicity in Properties
Q67
Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis…
Chemical Bonding and Molecular Structure
Q68
Given below are two statements I and II. Statement I: Dumas method is used for estimation of \"Nitrogen\" in an organic compound. Statement II: Dumas method…
Purification and Characterisation of Organic Compounds
Q69
Which of the following arrangements with respect to their reactivity in nucleophilic addition reaction is correct?
Organic Compounds Containing Oxygen
Q71
37.8 g N₂O₅ was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K 2N₂O 5(g) 2N₂O 4(g) +O 2(g) The total pressure at…
Equilibrium
Q72
Consider the following reaction occurring in the blast furnace: Fe₃O 4(s) +4CO (g) →3Fe (l) +4CO 2(g) 'x' kg of iron is produced when 2.32×10³ kg Fe₃O₄ and…
Some Basic Concepts in Chemistry
Q73
X g of benzoic acid on reaction with aq NaHCO₃ released CO₂ that occupied 11.2 L volume at STP. X is _ _ g.
Some Basic Concepts in Chemistry
Q74
Among the following cations, the number of cations which will give characteristic precipitate in their identification tests with K₄[Fe(CN)₆] is _ _…
Principles Related to Practical Chemistry
Q75
Standard entropies of X₂, Y₂ and XY₅ are 70, 50 and 110 J K⁻¹ mol⁻¹ respectively. The temperature in Kelvin at which the reaction 1/2X₂+5/2Y₂ XY₅, Δ H^ =-35…
Chemical Thermodynamics