Chapter 5, Problem 36QRT

(a)

Interpretation Introduction

Interpretation:

From the given energy level transition, the wavelength of the photon emitted 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 $\text{λ}$.

An atom undergoes a transition from initial state of principal quantum number ${\text{n}}_{\text{i}}$ to a state with principal quantum number ${\text{n}}_{\text{f}}$ the energy change is

    ${\text{ΔE}}_{\text{atom}}\text{=}{\text{E}}_{\text{f}}\text{-}{\text{E}}_{\text{i}}\text{=}\text{-2}\text{.179}\text{×}{\text{10}}^{\text{-18}}\text{J}\left(\frac{\text{1}}{{\text{n}}_{\text{f}}{}^{\text{2}}}\text{-}\frac{\text{1}}{{\text{n}}_{\text{i}}{}^{\text{2}}}\right).$

(b)

Interpretation Introduction

Interpretation:

From the given wavelengths, the electromagnetic region has to be identified.