Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 25

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 452

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

A light wave has a 670 nm wavelength in air. Its wavelength in a transparent solid is 420 nm. a. What is the speed of light in this solid? b. What is the light’s frequency in the solid?

Part a

The speed of light in the transparent solid is .

Part b

The frequency of the light in the transparent solid is .

See the step by step solution

Step by Step Solution

Given information

The wavelength of light in air .

The wavelength of light in transparent solid is .

Part a

The speed of light in a material is given by .

Where is the speed of light in a vacuum and the refractive index of the material.

The refractive index is also given as

where, is the wavelength of light in a vacuum and is the wavelength of light in the material.

Here the material is transparent solid.

From (1) and (2)

Therefore, the speed of light in this solid is .

Part b

The relation between speed, wavelength, and frequency of the wave is given by .

The light’s frequency in the transparent solid is

Therefore, the frequency of the light in the transparent solid is .

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.