What range of sound wavelengths in air at room temperature are audible to a human with ideal hearing?



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  1. What range of sound wavelengths in air at room temperature are audible to a human with ideal hearing?

    1. What is the wavelength near the lower limit where f ~ 20 Hz?

    2. What is the wavelength near the upper limit where f ~ 20 kHz?

  1. How long would it take a sound wave to travel completely around the Earth? (The average surface air temperature on earth is about 13.5 °C, which gives a speed of sound of about 340 m/s.)

  2. To the nearest second, how many seconds elapse between when a flash of lightning is seen and when the clap of thunder is heard if the lightning is…

    1. 1 kilometer away?

    2. 1 mile away (1.6 km away)?

  1. A sound wave of wavelength 0.70 m and speed of 343 m/s in air is produced for 0.50 s.

    1. What is the frequency of the wave?

    2. How many complete wavelengths are emitted in this time interval?

    3. How far is the front of the wave train from its source?

    4. How far is the back of the wave train from its source?

  1. A measurement, a calculation, and a set of related questions.

    1. Measure the horizontal distance between your ears. (This is not easy to do. You will probably be off by a couple of centimeters, but that is OK. An approximate value is sufficient.)

    2. Approximately how long does it take a sound wave coming from a source on one side of your head to travel the distance between your ears? (This is known by audiologists as the interaural time difference or ITD.)

    3. What would happen to the value calculated in part b. if the source of sound was moved forward a bit (not closer to your ear, but in the direction you call forward — anterior, as they say in the medical professions)?

    4. What would happen to the value calculated in part b. if the source of sound was directly in front of you instead of off to one side?

    5. Your brain can actually perceive the interaural time difference (as long as you have two working ears). What does your brain use this information for?



4. Compare two sound waves travelling in the same medium. One has a frequency of 500 Hz and one has a frequency of 800 Hz. Which sound wave has a greater wavelength? Period? Speed?

Your teacher says "Hello" to you from across the gym, 34 m away. How long does it take the sound to reach you?

A sound wave of wavelength 0.70 m and velocity of 331 m/s is produced for 0.50 s. What is the frequency of the wave? How many complete waves are emitted in this time interval?

Sound with a frequency of 442 Hz travels through steel. A wavelength of 11.66 m is measured. Find the speed of sound in steel.

Ultrasound with a frequency of 4.25MHz can be used to produce images of the human body. If the speed of sound in the body is the same as in salt water 1.50km/s, what is the wavelength in the body?


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