If the distance from a bugle is tripled, by what factor does the sound intensity decrease? Assume that no reflections affect the sound.
Solution 27E Step 1: The intensity of the sound waves and the distance is related by the mathematical equation, 2 I = P / 4 r Where, P - Power generated by the source of sound r - Distance which it travels. So, the only thing which will influence the intensity will be the distance “r”. 2 We can write, I 1 / r -------------------- (1) If the distance is tripled, then the distance will become 3r. 2 The intensity will be, I ’ 1 / (3r) 2 I’ 1 / 9r -------------------- (2) Divide equation 2 by 1 we get, 2 2 I’ / I = (1/9r )/(1/r ) = 1/9 Rearranging the equation we get, I’ = I /9 Conclusion: The intensity of the sound will be decreased 1/9th of the initial value if distance is tripled.
Textbook: Conceptual Physics
Author: Paul G. Hewitt
This full solution covers the following key subjects: Sound, factor, bugle, decrease, distance. This expansive textbook survival guide covers 45 chapters, and 4650 solutions. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12. Since the solution to 27E from 20 chapter was answered, more than 429 students have viewed the full step-by-step answer. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. The full step-by-step solution to problem: 27E from chapter: 20 was answered by , our top Physics solution expert on 04/03/17, 08:01AM. The answer to “If the distance from a bugle is tripled, by what factor does the sound intensity decrease? Assume that no reflections affect the sound.” is broken down into a number of easy to follow steps, and 23 words.