Chapter 7.1, Problem 7.2AFP

Interpretation Introduction

Interpretation:

The wavelength and frequency of a photon with energy $8.2\times {10}^{-19}\text{ J}$ are to be determined.

Concept introduction:

Electromagnetic waves are radiations that are formed by oscillating electric and magnetic fields. The electric and magnetic field components of an electromagnetic wave are perpendicular to each other.

According to Plank-Einstein equation the energy of a photon is directly proportional to the frequency and is expressed as follows:

$E=h\nu$ (1)

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

Equation (1) can be rearranged for $\nu$ as follows:

$\nu =\frac{E}{h}$ (2)

The equation that relates to the frequency and wavelength of electromagnetic radiation is as follows:

$\nu =\frac{c}{\lambda }$ (3)

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

Equation (2) can be rearranged for $\lambda$ as follows:

$\lambda =\frac{c}{\nu }$ (4)