# Singing in Helium: How Density Affects Resonance Frequency

• azatkgz
In summary, the conversation is discussing the effects of changing the medium, specifically from air to helium, on the frequency of a pure tone being sung. It is mentioned that the vocal folds act as a resonating cavity, and the resonance frequency is dependent on the tension and mass of the flesh in the vocal folds. The question is posed about what frequency the microphone will measure after the change to helium, and it is noted that the bulk modulus remains constant while only the density changes. The participants also discuss whether or not the speed of sound and wavelength will change as a result of the medium change.
azatkgz

## Homework Statement

When you sing, the vocal folds in your throat act as a resonating cavity (one open end, one closed end) which allows only certain frequencies. Suppose you try to sing a pure tone which is detected by a microphone and measured to have a frequency 500.0 Hz. This is the resonance frequency of the vocal folds in your throat, which only depends on the tension and mass of the flesh in your vocal folds. If you now replace the air of density 1.000 kg/m3 with helium of density 0.1640 kg/m3, what frequency will the microphone measure? Provide a graphical representation of the standing waves in your throat. You may assume that the bulk modulus remains constant in the two cases, and that only the density changes.

## The Attempt at a Solution

I think if we change the medium to helium,it will change only wavelenth.

So Frequancy remains constant.

If the speed remains constant then the frequency will change...

V=fw

V-velocity
f-frquency
w-wavelength

I don't know if the speed changes or not though, my intuition says that the frequency will increase because when you inhale helium your pitch of your voice increases

azatkgz said:
I think if we change the medium to helium,it will change only wavelenth.

So Frequancy remains constant.

That's not all that will change, it will sound hilarious now.

But seriously, as ||spoon|| notes, if wavelength changes without velocity changing at the same time, frequency has to change.

Then if we change the medium velocity will change,right?
Velocity of sound wave in the should be faster.
From V=fw
If velocity increases then wavelength also.Frequancy remains constant.
Is it Right?

## 1. What is the purpose of studying the effects of density on resonance frequency in singing in helium?

The purpose of studying the effects of density on resonance frequency in singing in helium is to understand how the physical properties of a gas can impact the sound produced by a singer. This can help us better understand how sound travels through different mediums and how it can be manipulated for various purposes.

## 2. How does density affect resonance frequency in singing in helium?

Density affects resonance frequency in singing in helium because the denser the gas, the faster sound travels through it. This means that as the density of helium increases, the resonance frequency of the sound produced by a singer also increases. This can result in a higher pitched sound.

## 3. What is the relationship between density and resonance frequency in singing in helium?

The relationship between density and resonance frequency in singing in helium is directly proportional. This means that as the density of helium increases, the resonance frequency also increases. This relationship is due to the fact that denser gases allow sound to travel faster, resulting in a higher resonance frequency.

## 4. Can the effects of density on resonance frequency in singing in helium be applied to other gases?

Yes, the effects of density on resonance frequency in singing in helium can be applied to other gases. The principle behind this phenomenon is universal and can be observed in any gas. The only difference may be the specific resonance frequency produced due to the unique properties of each gas.

## 5. How does the density of helium compare to that of air and how does this affect resonance frequency in singing?

The density of helium is much lower than that of air. This is due to the fact that helium is a lighter gas and has a lower molecular weight. This lower density results in a higher resonance frequency in singing, as sound travels faster through helium compared to air.

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