Chapter 5, Problem 17QRT

Interpretation Introduction

Interpretation:

The frequency and energy per photon of UV-C radiation associated with given wavelength has to be calculated.

Concept Introduction:

Frequency: It is the number of complete waves passing through a point in a given period of time.  The unit is ${\text{s}}^{\text{-1}}$.  The symbol of frequency is $\text{ν}$

Wavelength: The distance between adjacent crests or troughs in a wave is called wavelength.  The symbol of wavelength is $\text{λ}$.

The relation between frequency and wavelength is given by,

    $\begin{array}{l}\text{C}\text{=}\text{νλ}\\ \\ \text{ν}\text{=}\frac{\text{C}}{\text{λ}}\end{array}$

From the above relation, it is clear that frequency and wavelength are inversely proportional to each other.

The energy of light is given by,

    $\begin{array}{l}\text{E}\text{=}\text{hν}\\ \\ \text{E}\text{is}\text{energy}\text{of}\text{photon}\\ \\ \text{h}\text{is planck's constant}\\ \\ \text{ν}\text{is}\text{frequency}\text{of}\text{light}\text{.}\end{array}$