Answer to Question #246678 in Physics for Jordan

Question

In a student laboratory exercise, the wavelength of a 48,300 Hz ultrasound wave is measured to be .716cm. What is the site temprature in (k)??

Answer 1

Find the speed:

$$c=\lambda f=0.00716·48300=345.8\text{ m/s}.$$

The speed of sound depends on temperature in the following way:

$$c=20.05\sqrt{t+273.15},\\\space\\ t=\bigg(\frac c{20.05}\bigg)^2-273.15=24°\text{C}.$$