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Past papers
JEE Main 2025
4 Apr, Morning shift
Physics
19
Chemistry
21
Physics
Q26
In an experiment with a closed organ pipe, it is filled with water by (1/5) th of its volume. The frequency of the fundamental note will change by
Oscillations and Waves
Q27
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In photoelectric effect, on increasing the…
Dual Nature of Matter and Radiation
Q29
The Boolean expression Y = ABC + AC can be realised with which of the following gate configurations. A. One 3-input AND gate, 3 NOT gates and one 2-input OR…
Electronic Devices
Q30
An alternating current is represented by the equation, i = 100√(2) sin (100π t) ampere. The RMS value of current and the frequency of the given alternating…
Electromagnetic Induction and Alternating Currents
Q31
When an object is placed 40 cm away from a spherical mirror an image of magnification 1/2 is produced. To obtain an image with magnification of 1/3, the…
Optics
Q32
Current passing through a wire as function of time is given as I(t) = 0.02t + 0.01 A. The charge that will flow through the wire from t = 1 s to t = 2 s is
Current Electricity
Q33
A body of mass m is suspended by two strings making angles θ₁ and θ₂ with the horizontal ceiling with tensions T₁ and T₂ simultaneously. T₁ and T₂ are related…
Laws of Motion
Q34
The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3 × 10⁻⁷ m and 600 m/s, respectively. Find the frequency of its collisions.
Kinetic Theory of Gases
Q35
A small mirror of mass m is suspended by a massless thread of length l. Then the small angle through which the thread will be deflected when a short pulse of…
Electromagnetic Waves
Q37
Two small spherical balls of mass 10 g each with charges -2 μ C and 2 μ C, are attached to two ends of very light rigid rod of length 20 cm. The arrangement…
Electrostatics
Q39
Two simple pendulums having lengths l₁ and l₂ with negligible string mass undergo angular displacements θ₁ and θ₂, from their mean positions, respectively. If…
Oscillations and Waves
Q40
Two liquids A and B have θ A and θ B as contact angles in a capillary tube. If K = cos θ A / cos θ B, then identify the correct statement:
Properties of Solids and Liquids
Q41
Considering the Bohr model of hydrogen like atoms, the ratio of the radius of 5^(th) orbit of the electron in Li²⁺ and He⁺ is
Atoms and Nuclei
Q42
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The kinetic energy needed to project a body…
Gravitation
Q43
In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to 0.4 mm, the percentage change of the fringe…
Optics
Q44
If L and P represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector as r = a(i cos ω t + j sin ω t)…
Rotational Motion
Q45
In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of M^(P) L^(Q) T^(R) A^(S), where value of…
Units and Measurements
Q49
Two slabs with square cross section of different materials (1, 2) with equal sides (l) and thickness d₁ and d₂ such that d₂ = 2d₁ and l > d₂. Considering…
Properties of Solids and Liquids
Q50
Distance between object and its image (magnified by -1/3) is 30 cm. The focal length of the mirror used is (x/4) cm, where magnitude of value of x is _ _ _
Optics
Chemistry
Q51
The major product (A) formed in the following reaction sequence is: nitrobenzene (i) Sn, HCl; (ii) Ac₂O, Pyridine; (iii) Br₂, AcOH; (iv) NaOH (aq) A
Organic Compounds Containing Nitrogen
Q52
Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect? (Bohr's radius is represented by a₀)
Atomic Structure
Q53
Identify the pair of reactants that upon reaction, with elimination of HCl will give rise to the dipeptide Gly-Ala.
Biomolecules
Q54
XY is the membrane/partition between two chambers 1 and 2 containing sugar solutions of concentration c₁ and c₂ (c₁ > c₂) mol L ⁻¹. For the reverse osmosis to…
Solutions
Q55
Given below are the pairs of group 13 elements showing their relation in terms of atomic radius. (B < Al), (Al < Ga), (Ga < In) and (In < Tl). Identify the…
Classification of Elements and Periodicity in Properties
Q56
Benzene is treated with oleum to produce compound (X) which when further heated with molten sodium hydroxide followed by acidification produces compound (Y)…
Organic Compounds Containing Oxygen
Q57
Given below are two statements. Statement I: The dipole moment of 4 C H₃- 3 C H = 2 C H - 1 C H = O is greater than 4 C H₃- 3 C H₂- 2 C H₂- 1 C H = O…
Some Basic Principles of Organic Chemistry
Q58
Pair of transition metal ions having the same number of unpaired electrons is
d- and f-Block Elements
Q59
Given below are two statements: Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of pπ - pπ bond with oxygen. Statement…
p-Block Elements
Q60
Number of stereoisomers possible for the complexes, [CrCl₃(py)₃] and [CrCl₂(ox)₂]³⁻ are respectively (py = pyridine, ox = oxalate)
Coordination Compounds
Q61
Which of the following molecule(s) show/s paramagnetic behavior? A. O₂ B. N₂ C. F₂ D. S₂ E. Cl₂ Choose the correct answer from the options given below:
Chemical Bonding and Molecular Structure
Q62
One mole of an ideal gas expands isothermally and reversibly from 10 dm ³ to 20 dm ³ at 300 K. Δ U, q and work done in the process respectively are. Given: R…
Chemical Thermodynamics
Q63
Let us consider a reversible reaction at temperature, T. In this reaction, both Δ H and Δ S were observed to have positive values. If the equilibrium…
Chemical Thermodynamics
Q64
For A₂ + B₂ 2AB, E a for forward and backward reaction are 180 and 200 kJ mol ⁻¹ respectively. If catalyst lowers E a for both reaction by 100 kJ mol ⁻¹…
Chemical Kinetics
Q65
Predict the major product of the following reaction sequence: methylcyclohexane (1) Br₂/hν; (2) Alcoholic KOH, Δ; (3) H - Br / R - O - O - R, hν ?
Hydrocarbons
Q67
An organic compound (X) with molecular formula C₃H₆O is not readily oxidised. On reduction it gives C₃H₈O (Y) which reacts with HBr to give a bromide (Z)…
Organic Compounds Containing Oxygen
Q70
Rate law for a reaction between A and B is given by r = k[A]ⁿ[B]^(m). If concentration of A is doubled and concentration of B is halved from their initial…
Chemical Kinetics
Q71
The total number of hydrogen bonds of a DNA-double Helix strand whose one strand has the following sequence of bases is _ _ _ 5'-G-G-C-A-A-A-T-C-G-G-C-T-A-3'
Biomolecules
Q73
Fortification of food with iron is done using FeSO₄ · 7H₂O. The mass in grams of the FeSO₄ · 7H₂O required to achieve 12 ppm of iron in 150 kg of wheat is _ _…
Some Basic Concepts in Chemistry
Q74
In Dumas' method for estimation of nitrogen 1 g of an organic compound gave 150 mL of nitrogen collected at 300 K temperature and 900 mm Hg pressure. The…
Purification and Characterisation of Organic Compounds
Q75
KMnO₄ acts as an oxidising agent in acidic medium. 'X' is the difference between the oxidation states of Mn in reactant and product. 'Y' is the number of 'd'…
Principles Related to Practical Chemistry