Chapter 5, Problem 77UTC

The chapter sections to review are shown in parentheses at the end of each problem.
Use the following diagram tor problems 5.77 and 5.78:

Select diagram A, B, or C that (5.1)
a. has the longest wavelength
b. has the shortest wavelength
c. has the highest frequency
d. has the lowest frequency

Interpretation Introduction

Interpretation:

The diagram having the longest wavelength should be selected.

Concept Introduction:The distance between two successive identical parts of the wave (from successive trough to trough or crest to crest) is said to be the wavelength.

Answer to Problem 77UTC

C.

Explanation of Solution

Given:

Larger the distance between the successive crest to crest or trough to trough, larger is the wavelength.

Among the given waves, the distance between successive crest to crest of wave C is largest so, the wavelength of wave C is longest.

Interpretation Introduction

Interpretation:

The diagram having the shortest wavelength should be selected.

Concept Introduction: The distance between two successive identical parts of the wave (from successive trough to trough or crest to crest) is said to be the wavelength.

Answer to Problem 77UTC

A.

Explanation of Solution

Given:

Smaller the distance between the successive crest to crest or trough to trough, smaller is the wavelength.

Among the given waves, the distance between successive crest to crest of wave A is smallest so, the wavelength of wave A is shortest.

Interpretation Introduction

Interpretation:

The diagram having the highest frequency should be selected.

Concept Introduction: The relationship between wavelength and frequency is given as:

  $\nu =\frac{c}{\lambda }$

Where $\nu$ is the frequency, $c$ is speed of light, and $\lambda$ is the wavelength.

Answer to Problem 77UTC

A.

Explanation of Solution

Given:

There is a relationship between wavelength and frequency that is they are inversely proportional to each other. Higher the value of wavelength, lower will be the frequency and vice-versa.

Thus, wave A will have highest frequency.

Interpretation Introduction

Interpretation:

The diagram having the lowest frequency should be selected.

Concept Introduction: The relationship between wavelength and frequency is given as:

  $\nu =\frac{c}{\lambda }$

Where $\nu$ is the frequency, $c$ is speed of light, and $\lambda$ is the wavelength.

Answer to Problem 77UTC

C.

Explanation of Solution

Given:

There is a relationship between wavelength and frequency that is they are inversely proportional to each other. Lower the value of wavelength, higher will be the frequency and vice-versa.

Thus, wave C will have lowest frequency.