Chapter 5, Problem 20CTQ

(a)

Interpretation Introduction

Interpretation: Whether the energy is low or high for light with short wavelength and long wavelength should be determined.

Concept introduction: The expression between energy and frequency is known as Planck’s equation. This equation is given as follows:

  $E=hv$

Where,

• $h$ is Planck’s constant.
• $v$ is frequency of light.

This equation can also be given as follows:

  $E=\frac{hc}{\text{λ}}$

Where,

• $h$ is Planck’s constant.
• $c$ is speed of light.
• $\text{λ}$ is wavelength.

(b)

Interpretation Introduction

Interpretation: The box in figure below that has electron with smallest wavelength should be determined.

  

Concept introduction: The electron behaves as particle as well as wave. The wave nature of electron is explained by Planck’s equation as follows:

  $E=\frac{hc}{\text{λ}}$

Where,

• $h$ is Planck’s constant.
• $c$ is speed of light.
• $\text{λ}$ is wavelength.

(c)

Interpretation Introduction

Interpretation: The box in figure below that has electron with lowest energy should be determined.

  

Concept introduction: The electrons behave as particle as well as wave. The wave nature of electron is explained by Planck’s equation as follows:

  $E=\frac{hc}{\text{λ}}$

Where,

• $h$ is Planck’s constant.
• $c$ is speed of light.
• $\text{λ}$ is wavelength.