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

Short Answer

Expert verified

The wavelength of a 2.0 MHz ultrasound wave traveling through aluminum is3.2110-3m .

The frequency of electromagnetic wave would have the same wavelength as the ultrasound wave is 9.351010Hz.

Step by step solution

01

Given information:

The frequency of the ultrasound wave is f=2106Hz

Velocity of the wave travelling through Aluminium is valuminium=6420 m/s

02

Calculating the wavelength:

Wavelength is defined as the distance between consecutive crests or troughs in a wave.

The formula to calculate the wavelength in terms of the velocity of the wave through the medium is given by =valuminiumf

Substitute 2 MHz for f into the above formula to calculate the wavelength.

=6420m/s2106Hz=3.2110-3m

Therefore, the wavelength of a 2.0 MHz ultrasound wave traveling through aluminum is3.2110-3m.

03

Calculating the frequency of the electromagnetic wave:

The electromagnetic waves travels at speed of light in vacuum=c= 3108m/s

Substituting in the above formula to calculate the frequency.

f=c

Substitute 3.2110-3mfor and 3108m/sfor c into the above formula to calculate f.

f=3108m/s3.2110-3m=9.351010Hz

Therefore, the frequency of electromagnetic wave would have the same wavelength as the ultrasound wave is9.351010Hz.

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