Dimensional Analysis: Fundamentals and Applications

This lecture introduces the concept of dimensional analysis, emphasizing its importance in scientific and engineering problems. The instructor explains how to analyze dimensional relationships between quantities, illustrating the process with examples such as estimating the size of an atom using Schrödinger's equation. The lecture covers the fundamental parameters and the significance of dimensional groups. It concludes with a discussion on the application of dimensional analysis in different fields, highlighting the role of parameters like Planck's constant and energy in determining physical quantities.