When light travels from air to glass, which one of the following is not dependent on the index of refraction of the glass?

A- The speed at which lught travels in the glass
B- The angle through which light is deflected on entering the glass
C- The frequency of the light in the glass
D- The wavelenght of the light in the glass

To determine which option is not dependent on the index of refraction of the glass when light travels from air to glass, we need to understand the concept of refraction and how it affects light.

Refraction refers to the bending of light as it passes from one medium to another. The degree of bending depends on the difference in speeds between the two media, which is quantified by the index of refraction. When light travels from air to glass, it undergoes refraction due to the different refractive indices of air and glass.

Let's consider each option and analyze its dependence on the index of refraction:

A- The speed at which light travels in the glass: This option is dependent on the index of refraction. The speed of light in a medium is inversely proportional to its refractive index. So, as the index of refraction of the glass changes, the speed of light in the glass will also change.

B- The angle through which light is deflected on entering the glass: This option is dependent on the index of refraction. The amount of deflection (angle) that light experiences during refraction is determined by the refractive indices of the two media it is passing through. Therefore, the angle of deflection will be influenced by the index of refraction of the glass.

C- The frequency of the light in the glass: This option is not dependent on the index of refraction. The frequency of light remains constant when it travels from one medium to another. The frequency determines the color or wavelength of the light but is not affected by the refractive index.

D- The wavelength of the light in the glass: This option is dependent on the index of refraction. The wavelength of light changes when it enters a medium with a different refractive index. The relationship between the wavelength, frequency, and speed of light is given by the equation λ = c / f, where λ is the wavelength, c is the speed of light, and f is the frequency. Since the speed of light changes in glass due to its refractive index, the wavelength also changes.

Therefore, the correct answer is C- The frequency of the light in the glass, as it is not dependent on the index of refraction of the glass.