Question

A Pipe Filled with Helium A certain organ pipe, open at both ends, produces a fundamental frequency of 290 Hz in air. Part A If the pipe is filled with helium at the same temperature, what fundamental frequency fHe will it produce? Take the molar mass of air to be 28.8 g/mol and the molar mass of helium to be 4.00 g/mol Express your answer in hertz. He 850 Hz Submit Hints My Answers Give Up Review Part Correct Because helium is less dense than air and has a lower molar mass, sound waves propagate faster in helium than in air. Thus, the frequencies produced in the pipe when it is filled with helium are higher than those produced in the same pipe filled with air. Part B Now consider a pipe that is stopped (i.e., closed at one end) but still has a fundamental frequency of 290 Hz in air. How does your answer to Part A, fHe change? He increases. He decreases He stays the same. Submit Hints My Answers Give Up Review Part Provide Feedback Continue

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Answer #1

I assume that you just need Answers for the second part only.

Part-(B)

If the pipe is closed at one end. frequency (f) will be proportional to velocity (v).

fHe / fair = ( VHe / 4L ) / ( Vair / 4L ) = VHe / Vair.

Therefore, fHe stays the same.

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