**Resonant Frequencies in a Stretched String****Problem Statement:**A string that is stretched between fixed supports separated by 75 cm has resonant frequencies of 630 Hz and 525 Hz with no intermediate resonant frequencies.**Questions:**a) What is the lowest frequency of the standing wave?b) What is the velocity of the wave?c) What is the wavelength associated with the lowest frequency?d) What is the highest frequency of the standing wave?e) What is the wavelength associated with the highest frequency?f) What is the integer value of the resonant frequencies?**Explanation:**This problem involves understanding the resonant frequencies in a string fixed at both ends. The absence of intermediate frequencies between 525 Hz and 630 Hz suggests that these are consecutive harmonics of the fundamental frequency (the lowest frequency). The challenge lies in determining various properties of the standing wave, such as frequency, velocity, and wavelength, using the provided data.

Hey, since there is multiple subpart question posted, we will answer first three questions. If you…

8) A string that is stretched between fixed supports separated by 75 cm has resonant frequencies of 630 Hz and 525 Hz with no intermediate resonant frequencies. a) What is the lowest frequency of the standing wave? b) What is the velocity of the wave? c) What is the wavelength associated with the lowest frequency?

8) A string that is stretched between fixed supports separated by 75 cm has resonant frequencies of 630 Hz and 525 Hz with no intermediate resonant frequencies. a) What is the lowest frequency of the standing wave? b) What is the velocity of the wave? c) What is the wavelength associated with the lowest frequency?

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

**Resonant Frequencies in a Stretched String**

**Problem Statement:**
A string that is stretched between fixed supports separated by 75 cm has resonant frequencies of 630 Hz and 525 Hz with no intermediate resonant frequencies.

**Questions:**

a) What is the lowest frequency of the standing wave?

b) What is the velocity of the wave?

c) What is the wavelength associated with the lowest frequency?

d) What is the highest frequency of the standing wave?

e) What is the wavelength associated with the highest frequency?

f) What is the integer value of the resonant frequencies?

**Explanation:**

This problem involves understanding the resonant frequencies in a string fixed at both ends. The absence of intermediate frequencies between 525 Hz and 630 Hz suggests that these are consecutive harmonics of the fundamental frequency (the lowest frequency). The challenge lies in determining various properties of the standing wave, such as frequency, velocity, and wavelength, using the provided data.

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