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Tasya [4]
3 years ago
6

(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 18 cm deep, if you assu

med it was a closed tube? (b) How would that change if it was one-third full of soda?
Physics
1 answer:
V125BC [204]3 years ago
5 0

Answer:

476.387 Hz

714.583 Hz

Explanation:

L = Length of tube

v = Speed of sound in air = 343 m/s

Frequency for a closed tube is given by

f=\dfrac{v}{4L}\\\Rightarrow f=\dfrac{343}{4\times 0.18}\\\Rightarrow f=476.389\ Hz

The frequency is 476.387 Hz

If it was one third full L=0.18-\dfrac{1}{3}0.18

f=\dfrac{v}{4L}\\\Rightarrow f=\dfrac{343}{4\times (0.18-\dfrac{1}{3}0.18)}\\\Rightarrow f=714.583\ Hz

The frequency is 714.583 Hz

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