The equation describing the refraction of sound is similar to Snell\'s Law for l

Question

The equation describing the refraction of sound is similar to Snell's Law for light. The dotted line in Figure 3 is the normal (perpendicular line) to the tissue interface. Let 1 be the angle between the normal and the ultrasound beam before traveling through the interface and 2 be the angle between the normal and the refracted ultrasound beam. v1 is the speed of sound in the first tissue and v2 is the speed of sound in the second tissue. The refraction equation is then sin 1 / v1 = sin 2 / v2 The speed of sound in the first tissue is 1500 m/s. Before being refracted, the ultrasound beam impinges on the tissue interface at an angle of 60o to the normal. After being refracted, the angle between the ultrasound beam and the normal is 55o. What is the speed of sound in the second tissue? (Note that Figure 3 is not drawn to scale according to these angles)

Explanation / Answer

Here in the question ,

formula and all the input parameters are provided with detail description.

1=60 degree

2=55 degree

v1=1500m/s

v2=?

formula to use is

sin 1 / v1 = sin 2 / v2

0.866 / 1500 = 0.819 / v2

hence v2= 1418.85 m/s

the speed of sound in the second tissue is 1418.85m/s

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