# Problem: A light beam travels at 1.94x108 m/s in quartz. The wavelength of the light in quartz is 355 nm a. What is the index of refraction of quartz at this wavelength? b. If this same light travels through air, what is its wavelength there?

###### FREE Expert Solution

Index of refraction:

$\overline{){\mathbf{\eta }}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{v}}}$

The wavelength of beam of light in the air:

$\overline{){{\mathbf{\lambda }}}_{{\mathbf{0}}}{\mathbf{=}}{\mathbf{\eta }}{\mathbf{\lambda }}}$

###### Problem Details

A light beam travels at 1.94x108 m/s in quartz. The wavelength of the light in quartz is 355 nm

a. What is the index of refraction of quartz at this wavelength?

b. If this same light travels through air, what is its wavelength there?

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