a. What is the wavelength of a 2.0 MHz ultrasound wave traveling through aluminum?
b. What frequency of electromagnetic wave would have the same wavelength as the ultrasound wave of part a?

Respuesta :

Answer: a. [tex]wavelength = 3.16 * 10^{-3}m[/tex]

               b. [tex]frequency = 9.49 * 10^{10}[/tex]

Explanation:

a.   Note that the frequency of the ultrasound wave through aluminum  is given as  f = 12.0 * [tex]10^{6}[/tex] Hz.

while its speed is;

Speed of the sound = v = 6320 m/s.

Recall that

v = fλ

λ =  v/f

[tex]wavelength = \frac{6320}{2.0 * 10^{6} }\\\\ wavelength = 3.16 * 10^{-3}m[/tex]

b.   f = c/λ

[tex]f = \frac{3 * 3.0^{8} }{3.16 * 10^{-3} } \\ \\ = 9.49 * 10^{10}[/tex]