   Chapter 11, Problem 21ALQ ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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# Consider the following waves representing electromagnetic radiation:mg src=Images/HTML_99425-11-21ALQ_image001.jpg alt="" align="top"/>ich wave has the longer wavelength? Calculate the wavelength. Which wave has the higher frequency and photon energy? Calculate these values. Which wave has the greater velocity? What type of electromagnetic radiation does each wave represent?

Interpretation Introduction

Interpretation:

To determine the wavelength, frequency and energy for the given waves.

Concept Introduction:

The lengthier the wavelength, lesser the frequency and energy. This is vice versa.

Explanation
• The distance between each crest is more in wave a, than in wave b. as, the wavelength is defined as the distance between the consecutive crests or troughs, wave a has the longer wavelength.
• Give, the total wavelength is 1.6×103m. It has 4 crests in its length. Hence, distance between two crests is calculated by dividing the given length with 4.

wavelength=1.6×103m4=0.0004m

Thus, the wavelength of the wave is 0.0004 m.

• Wavelength is inversely proportional to the frequency and energy. Wave a has longer wavelength, that means it has lower frequency and energy. Wave b has shorter wavelength, that means it has higher frequency and larger photon energy.
• Frequency is calculated from speed of light and wavelength.

υ=cλ=3×108m/s0

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