Chapter 16.2, Problem 27SSC

To determine

ToFind:Whether the wavelength of the red light change or not when it enters water.

Answer to Problem 27SSC

Yes, the wavelength will change.

Explanation of Solution

Introduction:

The relation of the speed $\left(v\right)$ , wavelength $\left(\lambda \right)$ and frequency $\left(f\right)$ is given as

  $\lambda =\frac{v}{f}$  ...... (1)

For a constant frequency

  $\lambda \propto v$ i.e. wavelength is directly proportional to speed.

Since, the speed of red light is slower in air and water than in vacuum, thus the wavelength will also decrese.

Conclusion:Hence, the wavelength will change.