For JEE Advanced and Physics Olympiads
Physics, worth exploring.
Understand a phenomenon. Follow an idea further. Find a better way through a difficult problem.
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Problem-Solving Methods
Freezing Lake
Use conduction, latent heat and mass conservation to find how quickly lake ice grows, why its final thickness is finite, and why the water remains stably layered.
Problem-Solving Methods
Hot Air Balloon
Find the maximum payload and the heating power needed for hovering by combining buoyancy with conduction, convection and net radiation.
Problem-Solving Methods
Counterflow Heat Exchanger
Find the outlet temperatures of two opposite-flowing streams and explain how their outlet order can reverse while local heat flow remains from warmer to cooler fluid.
Problem-Solving Methods
Radiation and the Greenhouse Effect
Build a one-layer radiation model of Earth, count reflected sunlight, and find how surface and atmospheric temperatures respond to changing infrared emissivity.
Problem-Solving Methods
Radiation in a Spherical Thermos
Radiation crosses the vacuum gap of a spherical thermos. Count repeated reflections, find the heat entering liquid nitrogen, and calculate the complete evaporation time.
Problem-Solving Methods
Four Particles in Cyclic Pursuit
Four particles chase one another from a rectangle. Derive their exact collision time, rule out earlier collisions, and explore acceleration, slowing and a uniform current.
Problem-Solving Methods
Leaky Boiler and Carnot Engine
Heat escaping through a boiler reduces the power supplied to a Carnot engine. Find two temperatures that give the same output and the temperature that gives the greatest useful power.
Problem-Solving Methods
Interception and Pure Pursuit
Can a slower animal catch a faster runner? Construct the interception region, find the best meeting point, and compare planned interception with continual pursuit.
Problem-Solving Methods
Heat Conduction Through a Honeycomb
Does adding another ring of cells keep a central heat source warmer? Use symmetry, wall connections and steady heat balances to compare two honeycomb clusters.