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Chapter 27: Q3PE (page 997)

What is the index of refraction of a material for which the wavelength of light is0.671times its value in a vacuum? Identify the likely substance.

Short Answer

Expert verified

The material's refraction index is1.490and it is very close to the polystyrene material.

Step by step solution

01

Define refractive index

The refractive index of any material is defined as the ratio of the speed of light in the vacuum divided by the speed of the light in the respective medium.

02

Explanation

The wavelength of an electromagnetic wave in a medium can be defined as,

λnλn

where λis the wavelength of the electromagnetic wave in the vacuum and nis the refraction index of the specified medium.

The light within the substance has a wavelength that is 0.671times that of light in a vacuum.

Rearrange and solve for the material's refraction index,

localid="1654056457753" n=λλn=x0.671x=1.490

Thus, the material's refraction index islocalid="1654056391905" 1.490and it belongs to the polystyrene.

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