Physics~~~ FUN~FUN~FUN~~~

2007-06-25 8:27 pm
Instructor inhaled helium gas and spoke in a very high pitch. Why did the pitch of their voice change?

A. Helium gas is lighter than air and therefore has a faster speed than air. This faster speed results in the higher pitch voice.

B. Helium gas is less dense than air, will produce a higher frequency than a vibrating dense material.

C. Helium gas permeates the outer layer of the vocal cord muscles, increasing their flexibility and allowing the vocal cords to vibrate more quickly.

回答 (1)

2007-06-25 11:06 pm
✔ 最佳答案
First of all, the wavelength of a person's voice is fixed at a value as a result of his/her fixed length of vocal cord.
So λ = constant.
With reference to the formula of the sound speed in different gases:


圖片參考:http://upload.wikimedia.org/math/f/0/a/f0aa0a8f1de4bb4cd5c26170954f39b3.png

where

R (8.315410 J·mol-1·K-1) is the molar gas constant.
k is the Boltzmann constant
γ (gamma) is the adiabatic index (sometimes assumed 7/5 = 1.4000 exactly for diatomic molecules from kinetic theory, but actually experimentally measured over a range from 1.3991 to 1.403, and 5/3 = 1.6667 for monoatomic molecules).
T is the absolute temperature in kelvins.
M is the molar mass in kilograms per mole.
m is the mass of a single molecule in kilograms.
And also, helium has a higher value of γ than air under the same temperature and pressure, we can say that:
Sound velocity in helium gas > air
Then with the fixed λ, and also the formula v = fλ, we can see that:
Sound frequency in helium gas > air
So the pitch is higher in helium gas and therefore answer = A
參考: My physics knowledge + wiki (formula part)


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