The wavelength of red helium-neon laser light in air is 632.8 nm . (a) What is its frequency? (b

step 1 It is given the wave length of light lambda is equal to 632 .8 nanometer which is equal to 632 .

The wavelength of red helium-neon laser light in air is...

The wavelength of red helium-neon laser light in air is 632.8 $\mathrm{nm}$ . (a) What is its frequency? (b) What is its wave-length in glass that has an index of refraction of 1.50 ? (c) What is its speed in the glass?

Key Concepts

Frequency

Frequency denotes the number of wave cycles that pass a fixed point per unit time. It is an intrinsic property of the source and remains invariant when a wave transitions between different media.

Wavelength

Wavelength is the distance between successive crests or troughs in a wave, and it is a fundamental property that describes the spatial periodicity of the wave. In different media, the wavelength can change even though the frequency remains constant.

Speed of Light

The speed of light is the rate at which light propagates through a medium. In vacuum, it is a constant (approximately 3.00 x 10^8 m/s), but in any material medium, its speed is reduced depending on the material's optical density.

Index of Refraction

The index of refraction is a measure of how much a medium slows down light relative to its speed in vacuum. It is calculated as the ratio of the speed of light in vacuum to the speed in the medium, and it also affects the wavelength of light in the medium.

Relationship Between Wavelength, Frequency, and Speed

This relationship is expressed by the equation v = f?, where v is the speed of light in the medium, f is the frequency, and ? is the wavelength. This fundamental equation illustrates how a change in the medium's properties, such as its index of refraction, affects the wavelength while the frequency stays constant.

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