Light transmission through glass involves the dual nature of light, where its wavelength changes while the frequency remains constant when transitioning between mediums. The refractive index, defined as the ratio of the speed of light in air to that in the medium, plays a crucial role in determining how light behaves in glass. As light enters glass, its velocity decreases, leading to a change in wavelength but not frequency. The discussion also touches on the analogy of oscillating systems to illustrate how frequency can remain constant despite varying wavelengths. Understanding these principles is essential for grasping the complexities of light interaction with materials.