Chapter 7, Problem 7.92P

Interpretation Introduction

Interpretation:

The total number of photons falling on the book is to be determined.

Concept introduction:

The photoelectric effect is a phenomenon by which photoelectrons are ejected from the surface of a metal when radiation of suitable frequency falls on it. The electrons upon gaining energy from the radiation are ejected out of the atom. The flow of the photoelectrons leads to the generation of current.

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

$\nu =\frac{c}{\lambda }$

Here,

$c$ is the speed of light.

$\lambda$ is the wavelength.

$\nu$ is the frequency of the radiation.

Energy is proportional to the frequency and is expressed by the Plank-Einstein equation as follows:

$E=h\nu$

Here,

$E$ is the energy.

$h$ is the Plank’s constant.

$\nu$ is the frequency.

The above relation can be modified as follows:

$E=h\left(\frac{c}{\lambda }\right)$ (1)

The conversion factor to convert wavelength from $\text{nm}$ to $\text{m}$ is as follows:

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