A laboratory intern studies two sound waves produced by the same loudspeaker system:
• Wave X: unknown period TX.
• Wave Y: known frequency fY=5.5kHz.
Using a microphone connected to a digital oscilloscope, the intern observes that Wave X completes exactly 220 full cycles during a time interval of 0.040s.
(a) Calculate the period TX of Wave X.
(b) Determine the frequency fX of Wave X.
(c) Using a speed of sound in air of 343ms−1, compare the wavelengths associated with Wave X and Wave Y, clearly identifying which wave has the longer wavelength. Show your reasoning.
(d) Based solely on their frequencies, explain which wave is expected to transport more energy per unit area and why, citing an appropriate wave property.