JEE Advanced case studies
JEE Advanced · Put your knowledge to work in context.
JEE (Advanced) 2026 is the entrance examination for undergraduate admission to the Indian Institutes of Technology; for the 2026-27 session the portal also confirms it as the route to BTech admission at IISc Bengaluru through JoSAA 2026. IIT Roorkee is the organising institute, and the examination was held on Sunday, 17 May 2026 as a computer-based test in two papers, with the question papers published in English and Hindi. It is aimed at candidates who qualify JEE (Main) 2026 and then register on the JEE (Advanced) portal. That registration opened on 23 April 2026 and was extended to 11:59 pm on 5 May 2026, while Foreign National and OCI/PIO(F) candidates used a separate direct registration route that opened on 6 April 2026. The JEE Advanced case studies are 5 cases and about 2,464 words.
1Spool Pulled by a String on Its Inner Axle
A spool of mass 2.0 kg rests on a horizontal table. Its moment of inertia about the central axis is 0.030 kg·m².
571 words, about 3 min2Block on a Rough Surface Attached to a Spring
A 0.50 kg block lies on a rough horizontal surface and is attached to a horizontal spring of stiffness 200 N/m. The coefficients of friction are μs = 0.60 and μk = 0.40.
452 words, about 2 min3Solubility of Silver Chloride in Ammonia
Solid AgCl is shaken with 0.100 M aqueous NH3 until equilibrium is reached at 25 °C. For AgCl, Ksp = 1.8×10⁻¹⁰.
416 words, about 2 min4Dissociation of Ammonium Hydrogen Sulfide in a Sealed Flask
Ammonium hydrogen sulfide, NH4HS(s), dissociates according to NH4HS(s) ⇌ NH3(g) + H2S(g). At 298 K the equilibrium constant is Kp = 0.108, with partial pressures in atm.
418 words, about 2 min5Real Zeros of a Quartic Family with a Parameter
Let f(x) = x⁴ − 4x³ + 4x² + a, where a is a real parameter. The graph of y = f(x) is being studied for a modelling problem in which the number and location of real zeros determine the qualitative behaviour of a system.
607 words, about 3 min