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Past papers
JEE Main 2025
8 Apr, Evening shift
Physics
20
Chemistry
22
Physics
Q26
Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. (Take…
Thermodynamics
Q27
A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal…
Oscillations and Waves
Q28
A body of mass 2 kg moving with velocity of v in = 3 i + 4 j m s ⁻¹ enters into a constant force field of 6 N directed along positive z-axis. If the body…
Laws of Motion
Q29
A quantity Q is formulated as X⁻²Y^(+3/2)Z^(-2/5). X, Y and Z are independent parameters which have fractional errors of 0.1, 0.2 and 0.5, respectively in…
Units and Measurements
Q30
A rod of linear mass density ' λ ' and length 'L' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is.
Rotational Motion
Q31
A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens…
Optics
Q32
For a nucleus of mass number A and radius R, the mass density of nucleus can be represented as
Atoms and Nuclei
Q33
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Work done in moving a test charge between…
Electrostatics
Q34
Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher…
Kinematics
Q36
Two metal spheres of radius R and 3R have same surface charge density σ. If they are brought in contact and then separated, the surface charge density on…
Electrostatics
Q38
A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm, respectively. The concave surface is upwards and…
Optics
Q39
A monoatomic gas having γ = 5/3 is stored in a thermally insulated container and the gas is suddenly compressed to (1/8)^(th) of its initial volume. The ratio…
Thermodynamics
Q40
In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by a green filter. In this case
Optics
Q41
The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, y₁(x,t) = 4 sin (kx-ω t) and y₂(x,t) = 2 sin (kx-ω…
Oscillations and Waves
Q42
A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value…
Properties of Solids and Liquids
Q43
An infinitely long wire has uniform linear charge density λ = 2 nC/m. The net flux through a Gaussian cube of side length 3 cm, if the wire passes through any…
Electrostatics
Q45
Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass…
Oscillations and Waves
Q46
A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of 0.8 cm ³. If the bulk modulus of the liquid is 2 GPa, the…
Properties of Solids and Liquids
Q47
An electron is released from rest near an infinite non-conducting sheet of uniform charge density ' -σ '. The rate of change of de-Broglie wave length…
Dual Nature of Matter and Radiation
Q50
A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of 25π N m for 40 s, the speed…
Rotational Motion
Chemistry
Q51
Which of the following binary mixture does not show the behaviour of minimum boiling azeotropes?
Solutions
Q52
HA(aq) H⁺(aq) + A^-(aq). The freezing point depression of a 0.1 m aqueous solution of a monobasic weak acid HA is 0.20°C. The dissociation constant for the…
Solutions
Q53
Choose the correct set of reagents for the following conversion. Ethyl benzene → 1-bromo-4-vinylbenzene (benzene ring bearing CH=CH₂ and, para to it, Br)
Hydrocarbons
Q54
On combustion 0.210 g of an organic compound containing C, H and O gave 0.127 g H₂O and 0.307 g CO₂. The percentages of hydrogen and oxygen in the given…
Purification and Characterisation of Organic Compounds
Q55
1,2-dibromocyclooctane (i) KOH (alc.) (ii) NaNH₂ (iii) Hg²⁺/H⁺ (iv) Zn-Hg/H⁺ P (major product). 'P' is
Hydrocarbons
Q56
Match the LIST-I with LIST-II. LIST-I (Complex/Species): A. [Ni(CO)₄] B. [Ni(CN)₄]²⁻ C. [NiCl₄]²⁻ D. [MnBr₄]²⁻. LIST-II (Shape magnetic moment): I…
Coordination Compounds
Q57
The atomic number of the element from the following with lowest 1 ^(st) ionisation enthalpy is:
Classification of Elements and Periodicity in Properties
Q58
In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are t₁ and…
Chemical Kinetics
Q59
Match the LIST-I with LIST-II. LIST-I (Reagent): A. Sodium bicarbonate solution B. Neutral ferric chloride C. ceric ammonium nitrate D. alkaline KMnO₄…
Principles Related to Practical Chemistry
Q61
Given below are two statements: Statement I: H₂Se is more acidic than H₂Te. Statement II: H₂Se has higher bond enthalpy for dissociation than H₂Te. In the…
p-Block Elements
Q62
Correct statements for an element with atomic number 9 are A. There can be 5 electrons for which m s = +1/2 and 4 electrons for which m s = -1/2. B. There is…
Atomic Structure
Q64
Given below are two statements: Statement I: A homoleptic octahedral complex, formed using monodentate ligands, will not show stereoisomerism. Statement II…
Coordination Compounds
Q65
Valine, H₂N - CH(CH(CH₃)₂)-COOH, is placed at pH = 2 to give A and at pH = 10 to give B. Choose the correct option for structures of A and B, respectively
Biomolecules
Q66
Which one of the following reactions will not lead to the desired ether formation in major proportion? (iso-Bu ⇒ isobutyl, sec-Bu ⇒ sec-butyl, nPr ⇒ n-propyl…
Organic Compounds Containing Oxygen
Q67
The correct decreasing order of spin only magnetic moment values (BM) of Cu⁺, Cu²⁺, Cr²⁺ and Cr³⁺ ions is:
d- and f-Block Elements
Q69
Match the LIST-I with LIST-II. LIST-I: A. Carbocation B. C-Free radical C. Nucleophile D. Electrophile. LIST-II: I. Species that can supply a pair of…
Some Basic Principles of Organic Chemistry
Q70
When 6-oxoheptanal (CH₃COCH₂CH₂CH₂CH₂CHO) undergoes intramolecular aldol condensation, the major product formed is:
Organic Compounds Containing Oxygen
Q71
20 mL of sodium iodide solution gave 4.74 g silver iodide when treated with excess of silver nitrate solution. The molarity of the sodium iodide solution is _…
Some Basic Concepts in Chemistry
Q72
The equilibrium constant for decomposition of H₂O(g), H₂O(g) H₂(g) + 1/2 O₂(g) (Δ G° = 92.34 kJ mol ⁻¹), is 8.0×10⁻³ at 2300 K and total pressure at…
Equilibrium
Q73
The energy of an electron in first Bohr orbit of H-atom is -13.6 eV. The magnitude of energy value of electron in the first excited state of Be³⁺ is _ _ _ eV…
Atomic Structure
Q74
Resonance in X₂Y can be represented as X = X = Y:X X - Y:. The enthalpy of formation of X₂Y (X X(g) + 1/2 Y = Y(g) → X₂Y(g)) is 80 kJ mol ⁻¹. The magnitude of…
Chemical Thermodynamics
Q75
Consider the following half cell reaction Cr₂O₇²⁻(aq) + 6e⁻⁺ 14H⁺(aq) → 2Cr³⁺(aq) + 7H₂O(l). The reaction was conducted with the ratio of [ Cr³⁺ ]² [ Cr₂O₇²⁻…
Redox Reactions and Electrochemistry