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Past papers
JEE Main 2025
23 Jan, Evening shift
Physics
22
Chemistry
22
Physics
Q26
The refractive index of the material of a glass prism is √(3). The angle of minimum deviation is equal to the angle of the prism. What is the angle of the…
Optics
Q27
In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and…
Dual Nature of Matter and Radiation
Q28
A galvanometer having a coil of resistance 30 Ω need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this…
Magnetic Effects of Current and Magnetism
Q29
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The binding energy per nucleon is…
Atoms and Nuclei
Q30
A concave mirror of focal length f in air is dipped in a liquid of refractive index μ. Its focal length in the liquid will be:
Optics
Q31
A massless spring gets elongated by amount x₁ under a tension of 5 N. Its elongation is x₂ under the tension of 7 N. For the elongation of (5x₁ - 2x₂), the…
Properties of Solids and Liquids
Q32
If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time…
Gravitation
Q33
Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is P₁. The reading of the…
Properties of Solids and Liquids
Q34
A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field…
Electromagnetic Waves
Q35
A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that…
Rotational Motion
Q36
Match List - I with List - II. List - I: (A) Permeability of free space, (B) Magnetic field, (C) Magnetic moment, (D) Torsional constant. List - II: (I) [ M…
Units and Measurements
Q37
The energy of a system is given as E(t) = α³ e^(-β t), where t is the time and β = 0.3 s⁻¹. The errors in the measurement of α and t are 1.2% and 1.6%…
Units and Measurements
Q38
Two point charges -4 and 4, constituting an electric dipole, are placed at (-9, 0, 0) cm and (9, 0, 0) cm in a uniform electric field of strength 10⁴ N C⁻¹…
Electrostatics
Q39
Water of mass m gram is slowly heated to increase the temperature from T₁ to T₂. The change in entropy of the water, given specific heat of water is 1 J kg⁻¹…
Thermodynamics
Q40
The width of one of the two slits in Young's double slit experiment is d while that of the other slit is xd. If the ratio of the maximum to the minimum…
Optics
Q41
The equation of a transverse wave travelling along a string is y(x, t) = 4.0 sin [20 × 10⁻³x + 600t] mm, where x is in mm and t is in second. The velocity of…
Oscillations and Waves
Q43
Two charges 7 and -4 are placed at (-7 cm, 0, 0) and (7 cm, 0, 0) respectively. Given, ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻², the electrostatic potential energy of the…
Electrostatics
Q45
A ball having kinetic energy KE, is projected at an angle of 60° from the horizontal. What will be the kinetic energy of ball at the highest point of its…
Kinematics
Q47
An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of a liquid having surface tension 0.095 J/m² and density 10³ kg/m³. The…
Properties of Solids and Liquids
Q48
A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance 2.5 μ F. The dielectric constant of the medium…
Electromagnetic Waves
Q49
In a series LCR circuit, a resistor of 300 Ω, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular…
Electromagnetic Induction and Alternating Currents
Q50
A satellite of mass M/2 is revolving around earth in a circular orbit at a height of R/3 from earth surface. The angular momentum of the satellite is…
Gravitation
Chemistry
Q51
Consider the reaction X₂Y(g) X₂(g) + 1/2Y₂(g). The equation representing correct relationship between the degree of dissociation (x) of X₂Y(g) with its…
Equilibrium
Q52
Given below are the atomic numbers of some group 14 elements. The atomic number of the element with lowest melting point is:
p-Block Elements
Q53
Identify the coordination complexes in which the central metal ion has d⁴ configuration. (A) [FeO₄]²⁻ (B) [Mn(CN)₆]³⁻ (C) [Fe(CN)₆]³⁻ (D) Cr₂(O - CO…
Coordination Compounds
Q54
The α - Helix and β - Pleated sheet structures of protein are associated with its:
Biomolecules
Q55
Consider a binary solution of two volatile liquid components 1 and 2. x₁ and y₁ are the mole fractions of component 1 in liquid and vapour phase…
Solutions
Q56
Standard electrode potentials for a few half cells are mentioned below: E°_ Cu²⁺/Cu = 0.34 V, E°_ Zn²⁺/Zn = -0.76 V, E° Ag⁺/Ag = 0.80 V, E°_ Mg²⁺/Mg = -2.37…
Redox Reactions and Electrochemistry
Q57
Given below are two statements: Statement (I): The boiling points of alcohols and phenols increase with increase in the number of C-atoms. Statement (II): The…
Organic Compounds Containing Oxygen
Q58
Consider the following reactions K₂Cr₂O₇ [-H₂O]KOH [A] [-H₂O]H₂SO₄ [B] + K₂SO₄. The products [A] and [B], respectively are:
d- and f-Block Elements
Q60
Given below are two statements about X-ray spectra of elements: Statement (I): A plot of √(ν) (ν = frequency of X-rays emitted) vs atomic mass is a straight…
Classification of Elements and Periodicity in Properties
Q61
Given below are two statements: Statement (I): For a given shell, the total number of allowed orbitals is given by n². Statement (II): For any subshell, the…
Atomic Structure
Q62
When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg. The mole fraction of the solute in the…
Solutions
Q64
Identify the products [A] and [B], respectively in the following reaction: chlorobenzene [(ii) H⁺](i) NaOH, 623 K, 300 atm [A] [H₂SO₄]Na₂Cr₂O₇ [B]
Organic Compounds Containing Oxygen
Q65
pH of water is 7 at 25°C. If water is heated to 80°C., it's pH will:
Equilibrium
Q66
Match List - I with List - II. List - I: (A) Bronze, (B) Brass, (C) UK silver coin, (D) Stainless steel. List - II: (I) Cu, Ni, (II) Fe, Cr, Ni, C, (III) Cu…
d- and f-Block Elements
Q67
Given below are two statements: Consider the following reaction R - CO - R + H₂O K R₂C(OH)₂. Statement (I): In the case of formaldehyde (H - CO - H), K is…
Organic Compounds Containing Oxygen
Q68
Identify A, B and C in the given below reaction sequence: A HNO₃ Pb(NO₃)₂ H₂SO₄ B (1) Ammonium acetate, (2) Acetic acid, (3) K₂CrO₄ C (yellow ppt)
Principles Related to Practical Chemistry
Q69
The effect of temperature on spontaneity of reactions are represented as: (A) Δ H +, Δ S −, any T, Non spontaneous; (B) Δ H +, Δ S +, low T, spontaneous; (C)…
Chemical Thermodynamics
Q70
Which of the following graphs most appropriately represents a zero order reaction?
Chemical Kinetics
Q72
When 81.0 g of aluminium is allowed to react with 128.0 g of oxygen gas, the mass of aluminium oxide produced in grams is _ _ _. (Nearest integer) Given…
Some Basic Concepts in Chemistry
Q73
0.01 mole of an organic compound (X) containing 10% hydrogen, on complete combustion produced 0.9 g H₂O. Molar mass of (X) is _ _ _ g mol⁻¹.
Some Basic Concepts in Chemistry
Q74
The bond dissociation enthalpy of X₂ Δ H° bond calculated from the given data is _ _ _ kJ mol⁻¹. (Nearest integer) M⁺X^-(s) → M⁺(g) + X^-(g) Δ H° lattice =…
Chemical Thermodynamics
Q75
A compound 'X' absorbs 2 moles of hydrogen and 'X' upon oxidation with KMnO₄|H⁺ gives CH₃-CO - CH₃, CH₃-CO - OH and CH₃-CO - CH₂CH₂-CO - OH. The total number…
Hydrocarbons