Finding Angles and Reflection Points: Can You Help Me Solve This Problem?

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In summary, The conversation is about a problem that needs to be solved involving finding the angle's and refraction and reflection point of a beam of light between a source and detector. The Fermat principle is mentioned as a guide for finding the shortest travel time for the beam. It is suggested to consider the position of the crossing point being closer to the source. The total flight time is mentioned to be 710 ms.
  • #1
Guna82m
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Can anyone solve this for me??

Can anyone solve this problem..i want the angle's and refraction and reflection point..View attachment Document1.pdf
 
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  • #2
Show us what you have done.

Where are you having problems?
 
  • #3
Nobody in this forum would like to spoil your pleasure to solve such a nice exercice by yourself.
Therefore, nobody will give you the answer.

You have to find out where a beam from the source to the detector should cross the interface.
The Fermat principle tells you that this should be the place such that the time travel will be the shortest.

To save you a little bit of time, ask yourself first if this crossing point should be more on the side of the source or on the side of the detector.
Observe that if this point is more on the side of the source, the "optical" (seismic) path will be shorter on the side of the source where the wave is also the slower (2000 m/s) and it will be longer on the other side.
Intuitively, I would expect this point to be on the side of the source.

You could calculate the flight time for different positions and find out where it is minimum.
I checked that the crossing point is very close to a grid point on your drawing.
You will check that the total filght time is 710 ms, then.
 
  • #4
Hi Guys,

Thanks for the assist...I'm trying it now...will seek 4 help if i can't get my answer
 

FAQ: Finding Angles and Reflection Points: Can You Help Me Solve This Problem?

Can you solve this for me?

As a scientist, I am happy to help guide you through the problem-solving process, but ultimately, it is important for you to learn how to solve problems on your own. This will help you develop critical thinking skills and gain a deeper understanding of the subject.

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