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Past papers
JEE Main 2025
22 Jan, Evening shift
Physics
18
Chemistry
19
Physics
Q26
A series LCR circuit is connected to an alternating source of emf E. The current amplitude at resonant frequency is I₀. If the value of resistance R becomes…
Electromagnetic Induction and Alternating Currents
Q27
A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm, respectively. If the velocity of…
Properties of Solids and Liquids
Q28
Which one of the following is the correct dimensional formula for the capacitance in F ? M, L, T and C stand for unit of mass, length, time and charge,
Units and Measurements
Q30
A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If…
Properties of Solids and Liquids
Q31
The torque due to the force (2i + j + 2k) about the origin, acting on a particle whose position vector is (i + j + k), would be
Rotational Motion
Q32
A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be…
Optics
Q33
An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then the radius of the electronic…
Atoms and Nuclei
Q34
A ball of mass 100 g is projected with velocity 20 m/s at 60° with horizontal. The decrease in kinetic energy of the ball during the motion from point of…
Kinematics
Q35
A force F = 2i + bj + k is applied on a particle and it undergoes a displacement i - 2j - k. What will be the value of b, if work done on the particle is zero.
Work, Energy and Power
Q36
For a diatomic gas, if γ₁ = (C p /C v) for rigid molecules and γ₂ = (C p /C v) for another diatomic molecules, but also having vibrational modes. Then, which…
Kinetic Theory of Gases
Q38
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A simple pendulum is taken to a…
Gravitation
Q41
Given are statements for certain thermodynamic variables, (A) Internal energy, volume (V) and mass (M) are extensive variables. (B) Pressure (P), temperature…
Thermodynamics
Q42
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In Young's double slit experiment…
Optics
Q44
A light source of wavelength λ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV. If the same surface is illuminated…
Dual Nature of Matter and Radiation
Q45
The maximum percentage error in the measurment of density of a wire is [Given, mass of wire = (0.60 ± 0.003) g, radius of wire = (0.50 ± 0.01) cm, length of…
Units and Measurements
Q46
A tube of length 1m is filled completely with an ideal liquid of mass 2M, and closed at both ends. The tube is rotated uniformly in horizontal plane about one…
Rotational Motion
Q49
A parallel plate capacitor of area A = 16 cm² and separation between the plates 10 cm, is charged by a DC current. Consider a hypothetical plane surface of…
Electromagnetic Waves
Q50
A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of 2 × 10⁵ m s ⁻¹. When the electric field is switched…
Magnetic Effects of Current and Magnetism
Chemistry
Q51
The maximum covalency of a non-metallic group 15 element 'E' with weakest E–E bond is:
p-Block Elements
Q52
Given below are two statements: Statement (I): An element in the extreme left of the periodic table forms acidic oxides. Statement (II): Acid is formed during…
Classification of Elements and Periodicity in Properties
Q54
Given below are two statements: Statement (I): Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test…
Purification and Characterisation of Organic Compounds
Q55
Given below are two statements: Statement (I): A spectral line will be observed for a 2p x → 2p y transition. Statement (II): 2p x and 2p y are degenerate…
Atomic Structure
Q57
The molar solubility(s) of zirconium phosphate with molecular formula (Zr⁴⁺)₃(PO₄³⁻)₄ is given by relation:
Equilibrium
Q59
Arrange the following compounds in increasing order of their dipole moment: HBr, H₂S, NF₃ and CHCl₃
Chemical Bonding and Molecular Structure
Q60
Identify the homoleptic complex(es) that is/are low spin. (A) [Fe(CN)₅NO]²⁻ (B) [CoF₆]³⁻ (C) [Fe(CN)₆]⁴⁻ (D) [Co(NH₃)₆]³⁺ (E) [Cr(H₂O)₆]²⁺ Choose the correct…
Coordination Compounds
Q61
The correct order of the following complexes in terms of their crystal field stabilization energies is:
Coordination Compounds
Q62
Match List - I with List - II. List - I (Partial Derivatives): (A) ((G)/(T)) P (B) ((H)/(T)) P (C) ((G)/(P)) T (D) ((U)/(T)) V List - II (Thermodynamic…
Chemical Thermodynamics
Q63
Given below are two statements: Statement (I): Corrosion is an electrochemical phenomenon in which pure metal acts as an anode and impure metal as a cathode…
Redox Reactions and Electrochemistry
Q64
Density of 3 M NaCl solution is 1.25 g/mL. The molality of the solution is:
Some Basic Concepts in Chemistry
Q66
RBr [(ii) H₂O](i) Mg, dry ether 2-Methylbutane The maximum number of RBr producing 2-methylbutane by above sequence of reactions is _ _ _. (Consider the…
Organic Compounds Containing Halogens
Q67
The species which does not undergo disproportionation reaction is:
p-Block Elements
Q69
The alkane from below having two secondary hydrogens is:
Hydrocarbons
Q71
The complex of Ni²⁺ ion and dimethyl glyoxime contains _ _ _ number of Hydrogen (H) atoms.
Coordination Compounds
Q72
Niobium (Nb) and ruthenium (Ru) have "x" and "y" number of electrons in their respective 4d orbitals. The value of x + y is _ _ _.
d- and f-Block Elements
Q73
The compound with molecular formula C₆H₆, which gives only one monobromo derivative and takes up four moles of hydrogen per mole for complete hydrogenation…
Hydrocarbons
Q74
20 mL of 2 M NaOH solution is added to 400 mL of 0.5 M NaOH solution. The final concentration of the solution is _ _ _ × 10⁻² M. (Nearest integer)
Some Basic Concepts in Chemistry
Q75
Consider the following cases of standard enthalpy of reaction (Δ H° r in kJ mol ⁻¹) C₂H₆(g) + 7/2O₂(g) → 2CO₂(g) + 3H₂O(l) Δ H°₁ = -1550 C(graphite) + O₂(g) →…
Chemical Thermodynamics