Chapter 6.2, Problem 1CP

Interpretation Introduction

Interpretation:

The energy per photon of lightfor the given wavelength of light is to be calculated.

Concept introduction:

A photon is a quantum unit of space (particle)with an oscillating electromagnetic field (waves) that moves in space with constant speed (c) and finite energy (E).

Photons are always in motion. Invacuum, a photontravels at a constant speed of $2.998\times {10}^{8}m/s$ to all observers.

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.

The frequency of electromagnetic radiation is used to determine the amount of energy carried by one of its photons.

The energy of the photon is directly proportional to their frequency.

$E=hv$

Here, $v$ is the frequency, $c$ is the speed of light, $E$ is the energy, and $h$ is Plank’s constant.

The conversion from meter to nanometer is as:

$\text{1}\text{}\text{}\text{nm}={10}^{-9}\text{m}$

The conversion factor to obtain the units of the wavelength in $\text{nm}$ is as:

$\frac{{10}^{-9}\text{m}}{1\text{ nm}}$