ip standing waves in the human ear the human ear canal is much like an organ pipe that is closed at one end (at the tympanic membrane or eardrum) and open at the other. a typical ear canal has a length of about $2.4\text{ cm}$.

part a
what are the fundamental frequency and wavelength of the ear canal?
express your answer using two significant figures.

Question

ip standing waves in the human ear the human ear canal is much like an organ pipe that is closed at one end (at the tympanic membrane or eardrum) and open at the other. a typical ear canal has a length of about \$2.4\text{ cm}\$.

part a
what are the fundamental frequency and wavelength of the ear canal?
express your answer using two significant figures.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Standing Waves in Pipes", "Fundamental Frequency" ], "new_concepts": [ "Ear Canal Resonance" ], "current_concepts": [ "Standing Waves in Pipes", "Fundamental Frequency", "Ear Canal Resonance" ] } ## Calculate the fundamental wavelength of the ear canal $$ \begin{aligned} L &= 2.4\text{ cm} = 0.024\text{ m} \ \lambda_1 &= 4L = 4 \times 0.024\text{ m} = 0.096\text{ m} = 9.6\text{ cm} \end{aligned} $$ ## Calculate the fundamental frequency using the speed of sound in air $$ \begin{aligned} v &\approx 343\text{ m/s} \ f_1 &= \frac{v}{\lambda_1} = \frac{343\text{ m/s}}{0.096\text{ m}} \approx 3572.9\text{ Hz} \approx 3600\text{ Hz} \end{aligned} $$ What are the fundamental frequency and wavelength of the ear canal? Express your answer using two significant figures. $f_1 =$ $3600$ $\text{Hz}$, $\lambda_1 =$ $9.6$ $\text{cm}$ { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Physics", "Standing Waves in Closed Pipes" ] }

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Explanation:

Calculate the fundamental wavelength of the ear canal

Calculate the fundamental frequency using the speed of sound in air

Answer: