Chapter 18, Problem 18.55E

Interpretation Introduction

(a)

Interpretation:

The equivalent force constant is to be calculated.

Concept introduction:

The Hook’s law states that the strain produced in a solid is directly proportional to the applied force on it. The classical harmonic oscillator shows repetitive motion. It follows the Hook’s law. The Hook’s law is given by,

$F=-Kx$

Where,

• $F$ is the force.

• $K$ is the spring constant.

• $x$ is the deformation.

Interpretation Introduction

(b)

Interpretation:

The wavenumber of the light is to be calculated.

Concept introduction:

The relation between wavenumber and frequency is given by the formula,

$\nu =c\overline{v}$

Where,

• $c$ is the speed of light.

• $\overline{v}$ is the wavenumber.

• $\nu$ is the frequency.

Interpretation Introduction

(c)

Interpretation:

Whether the answer of part b agrees with the generality that many solid materials are very good absorbers of low-energy infrared light is to be stated.

Concept introduction:

The relation between wavenumber and frequency is given by the formula,

$\nu =c\overline{v}$

Where,

• $c$ is the speed of light.

• $\overline{v}$ is the wavenumber.

• $\nu$ is the frequency.

The relation between wavenumber and energy is given by the formula,

$E=hc\overline{v}$

Where,

• $h$ is the planck’s constant.