The discussion centers on the speed of ultrasonic waves compared to normal sound waves, exploring the underlying physics and equations that describe their propagation in different media. Participants examine the implications of frequency and temperature on sound wave speed, as well as the historical context of the formulas used.
Participants express differing views on the applicability of the formulas for sound speed, particularly regarding the role of frequency and the context of the medium. There is no clear consensus on the correctness of the teacher's statements or the implications of the formulas presented.
The discussion highlights potential limitations in understanding, such as the dependence on medium properties and the assumptions made in the formulas regarding ideal gases versus real gases.
v= √(γP/ρ)and for ultrasonic sound speed v= √(P/ρ) is he wrong?Yes, unless some context is missing. Ultrasound is just a name related to human hearing specifics. The formula without gamma was proposed by Newton and was latter corrected by Laplace by adding the gamma factor. The compression of air in a sound wave is better described as adiabatic rather than isothermal (as Newton assumed). The formula assumes an ideal gas, of course. In real gases there is a weak dependence of temperature and even weaker dependence on frequency.Hesh123 said:is he wrong?
You can see from the reply by nasu #4 that your first formula applies at all frequencies.Hesh123 said:Does the speed of ultrasonic waves differ from the normal sound wave speed?
my teacher said that for normal sound wave speedv= √(γP/ρ)and for ultrasonic sound speed v= √(P/ρ) is he wrong?