A greater index of refraction indicates that light bends more when transitioning from one medium to another. Light bends due to changes in its velocity as it moves between different indices of refraction, typically measured relative to vacuum. When light enters a medium with a higher refractive index, it slows down more, resulting in increased refraction. Additionally, the refractive index varies with the wavelength of light, causing different colors to refract at different angles. Understanding these principles is essential for interpreting how light behaves in various materials.