A certain string on a piano is tuned to produce middle C (f = 261.63 Hz) by carefully adjusting the tension in the string. For a fixed wavelength, what is the frequency when this tension is tripled?
A)87.21 Hz
B)151.05 Hz
C)370.00 Hz
D)453.16 Hz
E)784.89 Hz

Question

Quizplus · Accepted Answer

The frequency of a string is proportional to the square root of the tension. Tripling the tension increases the frequency by a factor of √3. Thus, the new frequency is 261.63 Hz * √3 ≈ 453.16 Hz.

A Certain String on a Piano Is Tuned to Produce