Chapter 5, Problem 46A

Interpretation Introduction

Interpretation : The frequency of a wave is to be described. The relationship between frequency and wavelength is to be described.

Concept Introduction : The frequency is how often waves cycle through a specific point in a unit of time.

Answer to Problem 46A

The frequency is how often waves cycle through a specific point in a unit of time.

The hertz is the name for the SI unit of frequency.

The frequency and wavelength are inversely proportional to each other.

Explanation of Solution

The separation between the crests is known as the wavelength.

The frequency is how often waves cycle through a specific point in a unit of time.

Cycles per second are typically used as the unit of frequency.

The hertz is the name for the SI unit of cycles per second.

A reciprocal second can be used to express a hertz.

The frequency and wavelength are inversely proportional to each other.

The relationship between frequency and wavelength is given as:

  $\nu =\frac{c}{\lambda }$

Where $c$ is the velocity of light and $\lambda$ is the wavelength of the photon.