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Past papers
JEE Main 2025
29 Jan, Morning shift
Physics
17
Chemistry
16
Physics
Q26
Consider I₁ and I₂ are the currents flowing simultaneously in two nearby coils 1 2, respectively. If L₁ = self inductance of coil 1, M₁₂ = mutual inductance…
Electromagnetic Induction and Alternating Currents
Q27
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Time period of a simple pendulum is…
Oscillations and Waves
Q30
Match List - I with List - II. List - I: (A) Electric field inside (distance r > 0 from center) of a uniformly charged spherical shell with surface charge…
Electrostatics
Q31
The fractional compression ((Δ V)/V) of water at the depth of 2.5 km below the sea level is _ _ _%. Given, the Bulk modulus of water = 2×10⁹ N m ⁻², density…
Properties of Solids and Liquids
Q35
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Electromagnetic waves carry energy…
Electromagnetic Waves
Q36
Two projectiles are fired with same initial speed from same point on ground at angles of (45° - α) and (45° + α), respectively, with the horizontal direction…
Kinematics
Q37
The expression given below shows the variation of velocity (v) with time (t), v = At² + Bt/(C+t). The dimension of ABC is:
Units and Measurements
Q39
A body of mass ' m ' connected to a massless and unstretchable string goes in verticle circle of radius ' R ' under gravity g. The other end of the string is…
Work, Energy and Power
Q40
The workdone in an adiabatic change in an ideal gas depends upon only:
Thermodynamics
Q41
Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly distributed across this…
Magnetic Effects of Current and Magnetism
Q43
The pair of physical quantities not having same dimensions is:
Units and Measurements
Q44
A coil of area A and N turns is rotating with angular velocity ω in a uniform magnetic field B about an axis perpendicular to B. Magnetic flux and induced emf…
Electromagnetic Induction and Alternating Currents
Q45
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Choke coil is simply a coil having a…
Electromagnetic Induction and Alternating Currents
Q46
A container of fixed volume contains a gas at 27° C. To double the pressure of the gas, the temperature of gas should be raised to _ _ _° C.
Kinetic Theory of Gases
Q47
The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball…
Kinematics
Q48
In a hydraulic lift, the surface area of the input piston is 6 cm ² and that of the output piston is 1500 cm ². If 100 N force is applied to the input piston…
Properties of Solids and Liquids
Q49
The coordinates of a particle with respect to origin in a given reference frame is (1, 1, 1) meters. If a force of F = i - j + k acts on the particle, then…
Rotational Motion
Chemistry
Q52
The molar conductivity of a weak electrolyte when plotted against the square root of its concentration, which of the following is expected to be observed ?
Redox Reactions and Electrochemistry
Q54
Match List - I with List - II. List - I (Carbohydrate): (A) Amylose (B) Cellulose (C) Glycogen (D) Amylopectin. List - II (Linkage Source): (I) β - C₁ - C₄…
Biomolecules
Q55
At temperature T, compound AB 2(g) dissociates as AB 2(g) AB (g) + 1/2B 2(g) having degree of dissociation x (small compared to unity). The correct expression…
Equilibrium
Q58
The reaction A₂ + B₂ → 2AB follows the mechanism A₂ k₋₁ k₁ A + A (fast), A + B₂ k₂ AB + B (slow), A + B → AB (fast). The overall order of the reaction is:
Chemical Kinetics
Q59
The correct option with order of melting points of the pairs (Mn, Fe), (Tc, Ru) and (Re, Os) is:
d- and f-Block Elements
Q60
An element 'E' has the ionisation enthalpy value of 374 kJ mol ⁻¹. 'E' reacts with elements A, B, C and D with electron gain enthalpy values of -328, -349…
Chemical Bonding and Molecular Structure
Q61
Match List - I with List - II. List - I (Complex): (A) [MnBr₄]²⁻ (B) [FeF₆]³⁻ (C) [Co(C₂O₄)₃]³⁻ (D) [Ni(CO)₄]. List - II (Hybridisation Magnetic characters)…
Coordination Compounds
Q63
Choose the correct statements. (A) Weight of a substance is the amount of matter present in it. (B) Mass is the force exerted by gravity on an object. (C)…
Some Basic Concepts in Chemistry
Q64
If a₀ is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength (λ) of the electron present in the second orbit of hydrogen atom…
Atomic Structure
Q65
1.24 g of AX₂ (molar mass 124 g mol ⁻¹) is dissolved in 1 kg of water to form a solution with boiling point of 100.0156° C, while 25.4 g of AY₂ (molar mass…
Solutions
Q66
500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm. The final temperature and the change in internal energy respectively…
Chemical Thermodynamics
Q67
The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.
Redox Reactions and Electrochemistry
Q68
Given below are two statements: Statement (I): The radii of isoelectronic species increases in the order. Mg²⁺ < Na⁺ < F^- < O²⁻ Statement (II): The magnitude…
Classification of Elements and Periodicity in Properties
Q70
For a Mg|Mg²⁺(aq)||Ag⁺(aq)|Ag the correct Nernst Equation is:
Redox Reactions and Electrochemistry
Q73
If A₂B is 30% ionised in an aqueous solution, then the value of van't Hoff factor (i) is _ _ _ × 10⁻¹.
Solutions
Q74
The molar mass of the water insoluble product formed from the fusion of chromite ore (FeCr₂O₄) with Na₂CO₃ in presence of O₂ is _ _ _ g mol ⁻¹.
d- and f-Block Elements