Chapter 7, Problem 7A.1ST

Interpretation Introduction

Interpretation:

The energy separation of levels responsible for emission of red light from Neon lamp at wavelength of $\text{736}\text{nm}$ has to be calculated.

Concept Introduction:

The radiation frequency absorbed or emitted is related to difference in energy between the initial and the final states. This Bohr frequency condition is depicted in equation as follows,

$\text{ΔE = h υ}\boxed{\begin{array}{c}here,\text{ΔE}=energydifference\\ \text{h}=Planck’scons\tan t\\ \text{υ}=frequency\end{array}}$

Explanation of Solution

Given:

Wavelength $\text{=}736nm$

The difference in energy levels is calculated by using the relationship between the energy difference and frequency.

$\begin{array}{c}\text{ΔE = h υ}\\ \text{=}\text{h}\frac{c}{\lambda }\\ =\frac{6.626\times {10}^{-34}J\cancel{s}\times 3\times {10}^8\cancel{m}\cancel{s^{-1}}}{736\times {10}^{-9}\cancel{m}}\\ =2.7\times {10}^{-19}J\\ =0.270aJ\\ \left[1aJ={10}^{-18}J\right]\end{array}$