Two loudspeakers, Speaker 1 and Speaker 2, emit continuous sinusoidal sound waves toward a sound level detector positioned equidistant from both sources in an anechoic chamber. The waves have identical pressure amplitudes of 1.0Pa. Measurements show that Speaker 2 delivers 1.75 times the acoustic power to the detector that Speaker 1 delivers.
Assume acoustic power is directly proportional to the frequency of the wave and is independent of pressure amplitude under the experimental conditions.
(a) Calculate the frequency of the wave produced by Speaker 2 if Speaker 1 operates at 256Hz. Express your answer to three significant figures and include units.
(b) Identify which speaker produces the higher‐pitched sound. Explain how the data support your conclusion.