Chapter 6.1, Problem 1CP

Interpretation Introduction

Interpretation:

The wavelength of light with given frequency is to be calculated.

Concept Introduction:

Light is measured by its wavelength (in nanometres) or frequency (in Hertz).

One wavelength equals the distance between two successive wave crests or troughs.

Frequency (Hertz) equals the number of waves that passes a given point per second.

The relation between the speed of light, wavelength, and frequency is as follows:

$c=v\lambda$

Here, $v$ is the frequency, $\lambda$ is the wavelength, and $c$ is the speed of light ($3.00\times {10}^8\text{ m/s}$).

The relation between a nanometer and a meter is as: $\text{1}\text{}\text{}\text{nm}={10}^{-9}\text{m}$

The conversion factor to obtain the units of wavelength in $\text{nm}$ is $\frac{1\text{ nm}}{{10}^{-9}\text{m}}$.