Chapter 7, Problem 7D.2E

(a)

Interpretation Introduction

Interpretation:

The moment of inertia for given molecule under given conditions has to be calculated.

Concept Introduction:

The particle travelling in circular path will have moment of inertia and it is given as follows,

$\begin{array}{c}I=m{r}^2\\ here,I=Momentofinertia\\ m=mass\\ r=radius\end{array}$

(b)

Interpretation Introduction

Interpretation:

The wavelength of radiation needed to excite the molecule from lowest and first excited has to be calculated.

Concept Introduction:

The particle angular momentum is always quantized. The permitted energies for a particle present in ring is expressed as follows,

$\begin{array}{c}{\text{E}}_{\text{m}}{}_{{}_l}=\frac{m_l{}^2{\hslash }^2}{2I}\\ m_l=0,\underset{\_}{+}1,\underset{\_}{+}2,\mathrm{...}\\ here,I=Momentofinertia\\ \hslash =\frac{h}{2\pi },hisPlanck\text{'}s\text{constant}\end{array}$