(a) To appreciate the human ear’s twelve order of magnitude (1012) span from barely audible to the pain threshold, consider the following. Suppose an equivalently dynamic instrument were designed to measure distances. Taking the lower limit of the instrument to be 1.00 mm, what would be the largest distance measurable? (b) To provide a perspective for the human ear’s frequency sensitivity range (audible frequency extremes differ by 103 ), consider a speedometer with a similar speed range. If the speedometer’s maximum speed reading is 90.0 mi/h, what is the smallest finite speed that it could register?
(a) To appreciate the human ear’s twelve order of magnitude (1012) span from barely audible to the pain threshold, consider the following. Suppose an equivalently dynamic instrument were designed to measure distances. Taking the lower limit of the instrument to be 1.00 mm, what would be the largest distance measurable? (b) To provide a perspective for the human ear’s frequency sensitivity range (audible frequency extremes differ by 103 ), consider a speedometer with a similar speed range. If the speedometer’s maximum speed reading is 90.0 mi/h, what is the smallest finite speed that it could register?
Fundamental frequency in an organ pipe closed at one end is,
Here, v is the velocity and l is the length.
As,
Here, is the speed of sound in air at and, t is the temperature in
So, the length can be calculated as,
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
