   # (a) Which color in the visible spectrum has the highest frequency? Which has the lowest frequency? (b) Is the wavelength of the radiation used in a microwave oven (2.45 GHz) longer or shorter than that from your favorite FM radio station (for example, 91.7 MHz)? (c) Are the wavelengths of x-rays longer or shorter than those of ultraviolet light? (d) Calculate the frequency of green light with a wavelength of 510. nm. ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6.1, Problem 1CYU
Textbook Problem
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## (a) Which color in the visible spectrum has the highest frequency? Which has the lowest frequency? (b) Is the wavelength of the radiation used in a microwave oven (2.45 GHz) longer or shorter than that from your favorite FM radio station (for example, 91.7 MHz)? (c) Are the wavelengths of x-rays longer or shorter than those of ultraviolet light? (d) Calculate the frequency of green light with a wavelength of 510. nm.

(a)

Interpretation Introduction

Interpretation:

The colour in visible light having highest and lowest frequency has to be determined.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• Violet colour has the lowest wavelength between 390nm to 455nm and red colour has the highest wavelength between 622nm and 780nm
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

### Explanation of Solution

According to the relation between wavelength and frequency, ν=cλ the frequency of the radiation is inversely proportional to its wavelength. The colour that has least wavelength has the higher frequency.

Violet colour has the lowest wavelength between 390<

(b)

Interpretation Introduction

Interpretation:

The wavelength of microwave radiation is whether longer or shorter than radiation from FM radio station has to be determined.

Concept Introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• The wavelength of x-ray radiation is around 0.01nm to 10nm whereas the wavelength of ultraviolet radiation is between 100nm and 400nm.
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

(c)

Interpretation Introduction

Interpretation:

The wavelength of x-ray radiation is whether longer or shorter than ultraviolet light has to be determined.

Concept Introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• The wavelength of x-ray radiation is around 0.01nm to 10nm whereas the wavelength of ultraviolet radiation is between 100nm and 400nm.

(d)

Interpretation Introduction

Interpretation:

The frequency of green light with wavelength 510 nm has to be determined.

Concept Introduction:

• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

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