A piano designer wants to change the pitch of a wire by changing one the followi

Question

A piano designer wants to change the pitch of a wire by changing one the following four properties of the wire: the material, thickness, length or tension, while keeping the remaining three fixed. In order to decrease the frequency of the sound, the designer should ______ (Choose the most correct answer).

a. change from an aluminum wire to a steel wire (steel has higher density)

b. use a thicker wire of the same material

c. use a longer wire

d. increase the tension

The answer choices are: a, b, c, d, a or b, a or c, b or d, a or b or c, & none of the above

*********I have already tried d alone and c alone and got it incorrect. Thank you for your help!

Explanation / Answer

  frequency f = v / = (T / µ) / 2L

higher density means higher µ (a and b) and lower frequency
longer length (c) means lower frequency with greater effect than a and b
increased tension means higher frequency

so "a or b or c." abc answer

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