# What is the relationship between frequency and wavelength? frequency and energy? wavelength and energy?

### Introduction to General, Organic a...

11th Edition
Frederick A. Bettelheim + 4 others
Publisher: Cengage Learning
ISBN: 9781285869759

### Introduction to General, Organic a...

11th Edition
Frederick A. Bettelheim + 4 others
Publisher: Cengage Learning
ISBN: 9781285869759

#### Solutions

Chapter 9, Problem 9.8P
Textbook Problem

## What is the relationship between frequency and wavelength? frequency and energy? wavelength and energy?

Expert Solution
Interpretation Introduction

Interpretation:

The relationship between frequency and wavelength, frequency and energy, and wavelength and energy should be determined.

Concept Introduction:

The frequency and wavelength are inversely proportional to each other that is on increasing frequency, the wavelength decreases.

The frequency and energy are directly proportional to each other that is on increasing frequency, the energyincreases.

The wavelength and energy are inversely proportional to each other that is on increasing frequency, the energy decreases.

The relationship between frequency and energy is:

e = Hv

The relationship between frequency and wavelength is:

v =Cλ

The relationship between wavelength and energy is:

e = HCλ.

### Explanation of Solution

The relationship between frequency and energy is:

e αve = Hv

Where, E is energy, h is Planck’s constant (proportionality constant), and v is frequency.

The frequency and energy are directly proportional to each other that is on increasing frequency, the energy increases.

The relationship between frequency and wavelength is:

v =Cλ

Where, v is frequency, c is speed of light, and? is wavelength.

The frequency and wavelength are inversely proportional to each other that is on increasing frequency, the wavelength decreases.

The relationship between wavelength and energy is:

e = HCλ

Where, E is energy, h is Planck’s constant (proportionality constant), c is speed of light, and? is wavelength.

The wavelength and energy are inversely proportional to each other that is on increasing energy, the wavelength decreases.

Conclusion

The relationship between frequency and energy is:

e = Hv

The relationship between frequency and wavelength is:

v =Cλ

The relationship between wavelength and energy is:

e = HCλ.

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