Two linear waves have the same amplitude and speed, and otherwise are identical, except one has half the wavelength of the other. Which transmits more energy? By what factor?
Step 1 of 3
Two linear waves have the same amplitude and are identical except the wavelength of one is half the other. The thing to keep in mind is that the Energy of the wave is proportional to the square of the frequency. As wavelength is inversely proportional to frequency the Energy of the wave is inversely proportional to square of the wavelength.
The energy of the wave,
But we know
The energy of the
Energy of the
Therefore, the 2nd wave with wavelength half that of the 1st wave transmits 4 tunes more energy.
Textbook: Physics: Principles with Applications
Author: Douglas C. Giancoli
The full step-by-step solution to problem: 18Q from chapter: 11 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “Two linear waves have the same amplitude and speed, and otherwise are identical, except one has half the wavelength of the other. Which transmits more energy? By what factor?” is broken down into a number of easy to follow steps, and 29 words. Since the solution to 18Q from 11 chapter was answered, more than 659 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This full solution covers the following key subjects: amplitude, Energy, except, factor, half. This expansive textbook survival guide covers 35 chapters, and 3914 solutions.