Question

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?

Answer 1

Answer: a.
`wavelength = 3.16 * 10^(-3)m`

b.
`frequency = 9.49 * 10^(10)`

Step-by-step explanation:

a. Note that the frequency of the ultrasound wave through aluminum is given as f = 12.0 *
`10^(6)` Hz.

while its speed is;

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

Recall that

v = fλ

λ = v/f

`wavelength = (6320)/(2.0 * 10^(6) )\\\\ wavelength = 3.16 * 10^(-3)m`

b. f = c/λ

`f = (3 * 3.0^(8) )/(3.16 * 10^(-3) ) \\ \\ = 9.49 * 10^(10)`