# Calculating Speed of Light in Water and Wavelength in Liquid

## What is the speed of light in water?

red he ne laser light (633 nm in vacuum) is traveling through water with n=1.33. What is the speed of light in water?

## What is the wavelength of the laser beam in the liquid?

red he ne laser light (633 nm in vacuum) is traveling through water with n=1.33. What is the wavelength of the laser beam in the liquid?

## Answer:

The speed of light in water can be calculated using the formula: speed of light in medium = speed of light in vacuum / refractive index.

Therefore, the speed of light in water is approximately 225,148,876 m/s.

The wavelength of the laser beam in water is approximately 475.2 nm.

When light travels through a medium such as water, it slows down due to interactions with the atoms and molecules in the medium. The refractive index of water, which is 1.33 in this case, determines how much the speed of light is reduced.

The speed of light in water can be calculated by dividing the speed of light in vacuum (299,792,458 m/s) by the refractive index of water (1.33). This calculation results in a speed of approximately 225,148,876 m/s.

Similarly, the wavelength of the laser beam in water can be calculated by dividing the wavelength in vacuum (633 nm) by the refractive index of water (1.33). This calculation results in a wavelength of approximately 475.2 nm.

In summary, the speed of light in water is reduced compared to its speed in a vacuum due to interactions with the medium. As a result, the wavelength of the laser beam also changes when traveling through water with a refractive index of 1.33.