Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 2.00 x 104 Hz? (Assume a body temperature of 37.0°C.)

Calculate the sound intensity level in decibels for a sound wave traveling in air at 0 ºC and having a pressure amplitude of 0.656 Pa.(speed of sound=331 m/s, air density= 1.29 kg/m3

For a person with normal hearing, the faintest sound that can be heard at a frequency of 400 Hz has a pressure amplitude of about 6.0 × 10-5 Pa. Use bulk modulus for air 1.42 × 105 Pa and v = 344 m/s at 20°C. Calculate the sound intensity level in decibels.

Your experiments on a particular insulator indicate that at 20°C, the average speed of sound in the insulator is vi = 8500 m/s and its bulk modulus is Bi = 370 GPa. Experimental results from your colleague show that a certain metal alloy has a density of ρm = 6500 kg/m3 and a bulk modulus of Bm = 110 GPa. a. Calculate the density of the insulator ρi in kilograms per cubic meter.  b.  Calculate the speed of sound vm in the metal alloy in meters per second.  c. If the sound traveled as indicated in the structure in figure 1, emerging from the insulator at time ti and the alloy at time tm, determine Δt = tm - ti in seconds. The length of the structure is L = 1.0 m.    d.  Find the total amount of time t, in seconds, it takes to travel through the structure as indicated in figure 2. The length of the structure is L = 1.0 m.