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Past papers
JEE Main 2025
4 Apr, Evening shift
Physics
20
Chemistry
19
Physics
Q26
Two polarisers P₁ and P₂ are placed in such a way that the intensity of the transmitted light will be zero. A third polariser P₃ is inserted in between P₁ and…
Optics
Q28
Given below are two statements: Statement (I): The dimensions of Planck's constant and angular momentum are same. Statement (II): In Bohr's model electron…
Atoms and Nuclei
Q29
There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across…
Current Electricity
Q30
Consider a n-type semiconductor in which n e and n h are number of electrons and holes, respectively. (A) Holes are minority carriers (B) The dopant is a…
Electronic Devices
Q31
Consider a rectangular sheet of solid material of length l = 9 cm and width d = 4 cm. The coefficient of linear expansion is α = 3.1×10⁻⁵ K⁻¹ at room…
Properties of Solids and Liquids
Q32
A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc AB at 'O' is 'E' in…
Electrostatics
Q33
There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while…
Kinetic Theory of Gases
Q34
A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 10⁵ N at the top. Considering infinitesimally small…
Properties of Solids and Liquids
Q35
A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 m/s. The speed of the particle on the rim of the wheel at…
Rotational Motion
Q37
Displacement of a wave is expressed as x(t) = 5 cos (628t + (π)/2) m. The wavelength of the wave when its velocity is 300 m/s is: (π = 3.14)
Oscillations and Waves
Q38
A block of mass 25 kg is pulled along a horizontal surface by a force at an angle 45° with the horizontal. The friction coefficient between the block and the…
Work, Energy and Power
Q39
In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [M^(P) L^(Q) T^(R) A^(S)]…
Units and Measurements
Q40
Match List - I with List - II. List - I: (A) Isobaric (B) Isochoric (C) Adiabatic (D) Isothermal List - II: (I) Δ Q = Δ W (II) Δ Q = Δ U (III) Δ Q = zero (IV)…
Thermodynamics
Q43
A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in…
Optics
Q44
For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The…
Experimental Skills
Q45
An object is kept at rest at a distance of 3R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that…
Gravitation
Q46
If an optical medium possesses a relative permeability of 10/(π) and relative permittivity of 1/0.0885, then the velocity of light is greater in vacuum than…
Electromagnetic Waves
Q47
A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω₁) about its diameter. After some time during the…
Rotational Motion
Q48
An inductor of self inductance 1 H is connected in series with a resistor of 100π ohm and an ac supply of 100π volt, 50 Hz. Maximum current flowing in the…
Electromagnetic Induction and Alternating Currents
Q50
In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm…
Optics
Chemistry
Q52
Consider the ground state of chromium atom (Z = 24). How many electrons are with Azimuthal quantum number l = 1 and l = 2 respectively ?
Atomic Structure
Q54
Given below are two statements: Statement (I): Alcohols are formed when alkyl chlorides are treated with aqueous potassium hydroxide by elimination reaction…
Organic Compounds Containing Halogens
Q55
The IUPAC name of the following compound is: HC C - CH₂-CH(OH)-CH₂-CH = CH₂
Some Basic Principles of Organic Chemistry
Q57
The elements of Group 13 with highest and lowest first ionisation enthalpies are respectively:
p-Block Elements
Q58
Which among the following compounds give yellow solid when reacted with NaOI/NaOH ? (A) CH₃-CH(OH)-C₂H₅ (B) CH₃-CH₂-CH₂-OH (C) CH₃COC₂H₅ (D) CH₃COOH (E)…
Organic Compounds Containing Oxygen
Q59
Match List - I with List - II. List - I (Separation of): (A) Aniline from aniline-water mixture (B) Glycerol from spent-lye in soap industry (C) Different…
Purification and Characterisation of Organic Compounds
Q60
A dipeptide, "x" on complete hydrolysis gives "y" and "z". "y" on treatment with aq. HNO₂ produces lactic acid. On the other hand "z" on heating gives the…
Biomolecules
Q61
A toxic compound "A" when reacted with NaCN in aqueous acidic medium yields an edible cooking component and food preservative "B". "B" is converted to "C" by…
Organic Compounds Containing Oxygen
Q62
The incorrect relationship in the following pairs in relation to ionisation enthalpies is:
d- and f-Block Elements
Q63
Consider the given data: (a) HCl(g) + 10 H₂O(l) → HCl.10 H₂O Δ H = -69.01 kJ mol⁻¹ (b) HCl(g) + 40 H₂O(l) → HCl.40 H₂O Δ H = -72.79 kJ mol⁻¹ Choose the…
Chemical Thermodynamics
Q65
Half life of zero order reaction A → product is 1 hour, when initial concentration of reactant is 2.0 mol L⁻¹. The time required to decrease concentration of…
Chemical Kinetics
Q67
Given below are two statements: Statement (I): The first ionisation enthalpy of group 14 elements is higher than the corresponding elements of group 13…
p-Block Elements
Q69
Given below are two statements: Statement (I): Molal depression constant K f is given by M₁RT f /(Δ S fus), where symbols have their usual meaning. Statement…
Solutions
Q70
The correct order of [FeF₆]³⁻, [CoF₆]³⁻, [Ni(CO)₄] and [Ni(CN)₄]²⁻ complex species based on the number of unpaired electrons present is:
Coordination Compounds
Q71
x mg of Mg(OH)₂ (molar mass = 58) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is _ _ _ mg. (Nearest…
Equilibrium
Q72
The amount of calcium oxide produced on heating 150 kg limestone (75% pure) is _ _ _ kg. (Nearest integer) Given: Molar mass (in g mol⁻¹) of Ca-40, O-16, C-12
Some Basic Concepts in Chemistry
Q73
A metal complex with a formula MCl₄.3NH₃ is involved in sp³d² hybridisation. It upon reaction with excess of AgNO₃ solution gives ' x ' moles of AgCl…
Coordination Compounds
Q74
The molar conductance of an infinitely dilute solution of ammonium chloride was found to be 185 S cm² mol⁻¹ and the ionic conductance of hydroxyl and chloride…
Redox Reactions and Electrochemistry
Q75
Sea water, which can be considered as a 6 molar (6 M) solution of NaCl, has a density of 2 g mL⁻¹. The concentration of dissolved oxygen (O₂) in sea water is…
Solutions