According to Planck quantum theory, the energy E of a photon is directly proportional to its frequency nu. What is the dimensional formula for Planck constant h, which relates these two quantities?

💡 Solution & Explanation

Planck constant is defined as energy divided by frequency, where energy has dimensions of force times displacement or mass times length squared over time squared, and frequency has dimensions of inverse time. Dividing energy dimensions by inverse time yields mass times length squared times time inverse, which corresponds to angular momentum dimensions. Dimensional analysis is widely used to check the correctness of physical equations. Albert Einstein explained the photoelectric effect using photons.