   Chapter 27, Problem 6CQ

Chapter
Section
Textbook Problem

Why does the wavelength of light decrease when it passes from vacuum into a medium? State which attributes change and which stay the same and, thus, require the wavelength to decrease.

To determine

The reason for decrease in wavelength of light when it passes from vacuum into a medium and

also, to find the physical quantity which remains unchanged.

Explanation

Introduction:

Velocity of light in a medium of refractive index of n is given by, v=cn

Where, c velocity of light in vacuum.

When light enters a medium its velocity decreases as per the above equation. But the frequency of light remains unchanged. In vacuum, the wave equation for light is given by, c=fλ

where, λ wavelength of light in vacuum  f frequency of light

The wave equation for light in a medium of refractive index n is given by,

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