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String Instruments

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In a stringed instrument, there are strings of various thicknesses. Generally, for a given material, the thicker the string the higher the linear density. Which of the following is true of these different strings? (Assume that the tensions are similar.)

- The thickest string produces the highest frequency, the thinnest string produces the lowest.
- The thinnest string produces the highest frequency, the thickest string produces the lowest.
- None of the above.

In a stringed instrument, a string is tuned by changing its tension. If a string is playing flat (too low a frequency), you should

- increase the tension.
- decrease the tension.
- None of the above.

In some stringed instruments, there are frets you can press the string against, to shorten the length of string that is vibrating. By doing this, you would

- increase the frequency and pitch.
- decrease the frequency and pitch.
- None of the above.

The bulk modulus of air is proportional to the Kelvin temperature of the air. If the Kelvin temperature of the air increases by 1% (about 3 degrees near room temp), then

- the speed of sound in the air will increase by 1%.
- the speed of sound in the air will decrease by 1%.
- the speed of sound in the air will increase by less than 1%.
- the speed of sound in the air will decrease by less than 1%.