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The violet edge of the visible spectrum occurs at a wavelength of approximately 400 nm, and the red edge occurs at approximately 780 nm. By using the scale 1 nm = 0.1 mm, make sketches of the waves associated with these wavelengths. How long would X-ray waves and radio waves be on this scale? Comment on the range of wavelengths visible to our eyes.

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Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

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Chapter
Section
BuyFindarrow_forward

Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 7, Problem 36E
Textbook Problem
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The violet edge of the visible spectrum occurs at a wavelength of approximately 400 nm, and the red edge occurs at approximately 780 nm. By using the scale 1 nm = 0.1 mm, make sketches of the waves associated with these wavelengths. How long would X-ray waves and radio waves be on this scale? Comment on the range of wavelengths visible to our eyes.

Interpretation Introduction

Interpretation:

The diagrams of waves are to be drawn, the wavelength that X-rays and radio waves have on this scale is to be calculated and the range of wavelength visible to our eyes are to be determined.

Concept introduction:

The distance between two consecutive crests of a wave of light is called the wavelength of light.

The arrangement of lights according to the wavelength associated with it, is called a spectrum.

Electromagnetic radiation with a certain wavelength is called light.

To convert the m to nm, the conversion factor is as: 1nm109m

To convert nm to mm, the conversion factor is as: 0.1mm1nm

Explanation of Solution

Given information:

The violet edge of spectrum appears at a wavelength of 400nm. The red edge of spectrum appears at a wavelength of 780nm and the given scale is 1nm=0.1mm.

The wavelength of X-rays, radio waves and visible range in mm is calculated as follows:

For X-rays, λ=1×1010m, convert the wavelength from meter to nm, and then in mm.

λ=1×1010m×1nm109m×0.1mm1nm=1×102mm

For radio waves, λ=1×104m, convert the wavelength from meter to nm and then in mm,

λ=1×104m×1nm109m×0

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Chemistry In Focus
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