Suppose a sound wave and an electromagnetic wave have the same frequency. Which has the longer wavelength?
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Solution 8E The mathematical relation between a wave’s wavelength, speed and frequency are given asWavelength = speed/frequency …..(1) Both the waves are given to have the same frequency. Therefore, the only factor that will decide the value of wavelength is the speed. An electromagnetic (EM) wave can travel at the speed of light in vacuum which is 3 × 10 m/s. It varies from medium to medium depending on the medium’s refractive index. Still, the speed value of EM waves remains quite large (~10 m/s). On the other hand, the speed of sound in air is 343 m/s, which is much smaller than 10 m/s. Therefore, from equation (1), the electromagnetic wave will have a longer wavelength.
Textbook: Conceptual Physics
Author: Paul G. Hewitt
The answer to “Suppose a sound wave and an electromagnetic wave have the same frequency. Which has the longer wavelength?” is broken down into a number of easy to follow steps, and 17 words. This full solution covers the following key subjects: electromagnetic, wave, Sound, longer, suppose. This expansive textbook survival guide covers 45 chapters, and 4650 solutions. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12. The full step-by-step solution to problem: 8E from chapter: 20 was answered by , our top Physics solution expert on 04/03/17, 08:01AM. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. Since the solution to 8E from 20 chapter was answered, more than 405 students have viewed the full step-by-step answer.