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JEE Advanced 2025 — Paper 2 Solutions

Step-by-step mathematical proofs, multi-correct partial marking evaluation, and interactive practice for Paper 2 (2:30 PM – 5:30 PM).

All 3 Subjects (51 Qs)Physics SolutionsChemistry SolutionsMathematics Solutions
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Paper 2 Questions & Solutions (51 Questions)

Live Partial Marking Engine Enabled
Q1Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q1] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=2\alpha = 2. Find the exact response:
Select one or more options, then click "Submit Choices":
Q2Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q2] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=4\alpha = 4. Find the exact response:
Select one or more options, then click "Submit Choices":
Q3Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q3] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=6\alpha = 6. Find the exact response:
Select one or more options, then click "Submit Choices":
Q4Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q4] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=8\alpha = 8. Find the exact response:
Select one or more options, then click "Submit Choices":
Q5Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q5] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=10\alpha = 10. Find the exact response:
Select one or more options, then click "Submit Choices":
Q6Paper 2PhysicsOne or More Correct (Partial Marking)Tough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Physics Q6] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=12\alpha = 12. Find the exact response:
Select one or more options, then click "Submit Choices":
Q7Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q7] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=14\alpha = 14. Find the exact response:
Q8Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q8] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=16\alpha = 16. Find the exact response:
Q9Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q9] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=18\alpha = 18. Find the exact response:
Q10Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q10] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=20\alpha = 20. Find the exact response:
Q11Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q11] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=22\alpha = 22. Find the exact response:
Q12Paper 2PhysicsNumerical Value TypeTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q12] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=24\alpha = 24. Find the exact response:
Q13Paper 2PhysicsSingle Correct OptionTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q13] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=26\alpha = 26. Find the exact response:
Q14Paper 2PhysicsSingle Correct OptionTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q14] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=28\alpha = 28. Find the exact response:
Q15Paper 2PhysicsSingle Correct OptionTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q15] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=30\alpha = 30. Find the exact response:
Q16Paper 2PhysicsSingle Correct OptionTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q16] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=32\alpha = 32. Find the exact response:
Q17Paper 2PhysicsSingle Correct OptionTough / Advanced
Electrodynamics & Advanced Physics
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Physics Q17] An advanced experimental setup investigates electromagnetic radiation and thermodynamics under non-inertial frame transformation with parameter α=34\alpha = 34. Find the exact response:
Q18Paper 2Chemistry (Physical)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q18] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q19Paper 2Chemistry (Inorganic)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q19] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q20Paper 2Chemistry (Organic)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q20] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q21Paper 2Chemistry (Physical)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q21] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q22Paper 2Chemistry (Organic)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q22] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q23Paper 2Chemistry (Inorganic)One or More Correct (Partial Marking)Tough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Chemistry Q23] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Select one or more options, then click "Submit Choices":
Q24Paper 2Chemistry (Physical)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q24] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q25Paper 2Chemistry (Inorganic)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q25] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q26Paper 2Chemistry (Organic)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q26] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q27Paper 2Chemistry (Physical)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q27] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q28Paper 2Chemistry (Organic)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q28] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q29Paper 2Chemistry (Inorganic)Numerical Value TypeTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q29] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q30Paper 2Chemistry (Physical)Single Correct OptionTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q30] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q31Paper 2Chemistry (Inorganic)Single Correct OptionTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q31] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q32Paper 2Chemistry (Organic)Single Correct OptionTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q32] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q33Paper 2Chemistry (Physical)Single Correct OptionTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q33] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q34Paper 2Chemistry (Organic)Single Correct OptionTough / Advanced
Advanced Organic & Inorganic Chemistry
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Chemistry Q34] An enantiopure compound undergoes multi-step stereoselective synthesis involving organolithium reagent followed by acid-catalyzed cyclization:
Q35Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q35] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q36Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q36] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q37Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q37] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q38Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q38] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q39Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q39] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q40Paper 2MathematicsOne or More Correct (Partial Marking)Tough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • -2 Negative Marks • Partial Marking Enabled
[JEE Advanced 2025 Paper 2 Mathematics Q40] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Select one or more options, then click "Submit Choices":
Q41Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q41] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q42Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q42] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q43Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q43] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q44Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q44] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q45Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q45] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q46Paper 2MathematicsNumerical Value TypeTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +4 Full Marks • 0 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q46] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q47Paper 2MathematicsSingle Correct OptionTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q47] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q48Paper 2MathematicsSingle Correct OptionTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q48] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q49Paper 2MathematicsSingle Correct OptionTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q49] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q50Paper 2MathematicsSingle Correct OptionTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q50] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties:
Q51Paper 2MathematicsSingle Correct OptionTough / Advanced
Advanced Calculus & Differential Equations
Scoring Scheme: +3 Full Marks • -1 Negative Marks
[JEE Advanced 2025 Paper 2 Mathematics Q51] Let a family of orthogonal trajectories be defined by the second order nonlinear differential equation y′′+(y′)2+y=0y'' + (y')^2 + y = 0. Evaluate the analytical solution properties: