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A pipe open at both ends produces a fundamental frequency of 262 Hz in air at 20°C. If the is filled with helium at the same temperature, what fundamental frequency does it produce? Assume the speed of sound in helium is 972 m/s. Assume the speed of sound in the air at 20°C is 343 m/s.
A. 972 Hz
B. 430 Hz
C. 741 Hz
D. 1113 Hz .

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Answer: 1. B) 614 Hez

2. D) 1.3 Hz

3. B) 4.9 m

4. A) 70 Hz

5. B) 1.63 m; 211 Hz

6. C) 35.2 Hz

7. A) 17.6 Hz

8. C) 742 Hz

9. D) 573 Hz

10. A) 16 cm; 2150 Hz

Explanation: 100% :) just took quiz

The fundamental frequency is defined as the lowest frequency produced by an instrument. The fundamental frequency of the sound in the helium is 804.63 Hz.

Fundamental frequency:

[tex]f = \dfrac v{2L}[/tex]

Where,

[tex]f[/tex] - freqency = 262 Hz

[tex]v[/tex] - velocity = 343 m/s.

[tex]L [/tex] - length = ?

The length of the tube,

[tex]L = \dfrac {343}{2 \times 262}\\\\ L = 0.654\rm \ m[/tex]

Now put the values in the formula,

[tex]f = \dfrac {972 \rm \ m/s} {2 \times 0.654}\\\\ f = 804.63 \rm \ Hz [/tex]

Therefore, the fundamental frequency of the sound in the helium is 804.63 Hz.

Learn more about Fundamental frequency:

https://brainly.com/question/25694821

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