1.) The sound of the note A3 on a piano has the frequency 220 Hz. Does this soun

Question

1.) The sound of the note A3 on a piano has the frequency 220 Hz. Does this sound travel faster or slower than the sound created when the note A4 (440 Hz) is hit? 2.) A violin string vibrates at frequency 1720 Hz. What is the wavelength of the sound produced in the surrounding air temperature 20 degrees Celsius? 3.) What is the wavelength of the sound with frequency 200 Hz compared to the wavelength of the sound of 300 Hz? 4.) If an organ pipe is built to produce sound of wavelength 3m, what frequency will this sound have? (Assume temperature 20 degrees Celsius) 5.) Suppose you are watching water waves pass a tide gauge at the end of the pier. At their highest point the crests reach a mark labled 4.0m and at the lowest point, the 3.0m mark. What is the amplitude of these waves?

Explanation / Answer

The speed of sound is 343 m/s at 20 degrees celsius in dry air. Now we have the basic relation Velocity= Frequency * Wavelength or v=f*w And remember that frequency and wavelength are the dependents whereas the speed of sound is decied by physical factors. Speed does not depend on frequency or wavelength. That should answer the first question. 1) Speed does not depend on frequency or wavelength. Hence both have the same speed. 2) v= f*w v= 343 f= 1720 Hz So, w= 343/1720 = 0.2 m 3) Same concept again. w= v/f For 200 Hz w= 343/200 = 1.715 meters. For 300 Hz w= 343/300= 1.1433 metres. 4) Here wavelength is given. f=v/w f= 343/3 = 114.33 Hz 5) The crest of the wave touches the 4 meter mark. The trough touches the 3 meter mark So crest- trough= 4-3 = 1 meter. The amplitude is 1/2 = 0.5 metres.

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