A light beam travels at 1.94 ×10^8 m / s in quartz. The wave-length of the light in quartz is 35

step 1 Okay, so for this question we're told the wavelength and speed of light of a material in the gla

A light beam travels at 1.94 ×10^8 m / s in quartz. The...

A light beam travels at $1.94 \times 10^{8} \mathrm{m} / \mathrm{s}$ in quartz. The wave-length of the light in quartz is 355 $\mathrm{nm}$ . (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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Key Concepts

Propagation of Light in Different Media

When light travels through various materials, its propagation speed is altered by the optical properties of the medium. This change in speed affects the wavelength of light but not its frequency. Understanding how light propagates in different media is essential in the study of optics, as it informs applications ranging from lens design to fiber-optic communications.

Wavelength and Frequency Relationship

Light is an electromagnetic wave characterized by its wavelength and frequency, and they are related by the equation v = ?f, where v is the wave speed. When light transitions between media, its speed and wavelength change while its frequency remains constant. This invariance of frequency is key to understanding phenomena like refraction.

Index of Refraction

The index of refraction is a dimensionless number that indicates how much a material slows down light compared to its speed in a vacuum. It is calculated as the ratio of the speed of light in vacuum to the speed of light in the medium. This concept is fundamental in optics, as it explains how light bends when it passes from one medium to another.

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