Angle of Refraction: 60 Degrees

In summary, the question is asking for the angle of refraction when a sound wave hits a cold air interface at an angle of 60 degrees. The speed of sound as a function of temperature is given by v = (331 + 0.60T) m/s, where T is in Celcius. The user is wondering if the angle of refraction will also be 60 degrees since the angle of incidence and the angle of refraction are usually equal. However, they are unsure and seeking clarification.
  • #1
itryphysics
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Homework Statement



If the sound wave hits the cold air interface at an angle of 60, what is the angle of refraction? The speed of sound as a function of temperature can be approximated by v = (331 + 0.60T) m/s, where T is in Celcius.


Homework Equations





The Attempt at a Solution


so i was thinking since the angle fo incident and angle of refraction are the same, will the angle of refraction in this care just be 60?
 
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  • #2
WHY would you think that "the angle fo incident and angle of refraction are the same"?

I think you will get more help on this in "physics homework" so I am moving it.
 
  • #3


I would like to clarify that the angle of refraction is not always equal to the angle of incidence. It is dependent on the properties of the medium through which the sound wave is traveling. In this case, the angle of refraction can be calculated using Snell's law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of sound in the two media. So, in order to determine the angle of refraction in this scenario, we would need to know the angle of incidence and the speed of sound in both the initial and final media.
 

1. What is the angle of refraction?

The angle of refraction is the angle between the refracted ray and the normal line, measured from the normal line to the refracted ray.

2. How is the angle of refraction calculated?

The angle of refraction can be calculated using Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction of the two materials.

3. What is the relationship between the angle of incidence and the angle of refraction?

The angle of incidence and the angle of refraction are related by Snell's Law. As the angle of incidence increases, the angle of refraction also increases, and vice versa.

4. How does the angle of refraction change when light passes through different mediums?

When light passes from one medium to another, the angle of refraction changes due to the change in the speed of light in the different mediums. This change in speed causes the light to bend as it enters and exits the medium.

5. What is the critical angle and how does it relate to the angle of refraction?

The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. If the angle of incidence is greater than the critical angle, total internal reflection occurs instead of refraction.

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