What Determines the Distance Between Two People Based on Interference Patterns?

In summary, the conversation is discussing a homework problem involving finding the distance to a person using trigonometry and possibly involving interference and single-slit diffraction. The equations for wave velocity and wavelength are also mentioned.
  • #1
bfr
52
0

Homework Statement



phys.JPG


Homework Equations



wave velocity = frequency * wave length

The Attempt at a Solution



Well...I'm not sure. I know how you could find the distance to the person to the right using trigonometric, but I don't know how to actually answer the question (mathematically). Interference might have something to do with it?
 
Physics news on Phys.org
  • #2
The width of the doorway (in wavelengths) should be important.

Consider having one whistle, and two echos (one from each side).

Regards,

Bill
 
  • #3
bfr said:

The Attempt at a Solution



Well...I'm not sure. I know how you could find the distance to the person to the right using trigonometric, but I don't know how to actually answer the question (mathematically). Interference might have something to do with it?

Yes; the sound wave is passing through a wide slit, so this is a single-slit diffracion problem.
 

FAQ: What Determines the Distance Between Two People Based on Interference Patterns?

What is the "Interesting Wave Problem"?

The "Interesting Wave Problem" is a mathematical problem that involves finding the maximum height of a wave on a given body of water, taking into account various factors such as wind speed, water depth, and wave frequency.

Why is the "Interesting Wave Problem" significant?

The "Interesting Wave Problem" is significant because it has practical applications in fields such as oceanography, naval engineering, and coastal management. Understanding wave behavior is crucial for designing safe and efficient structures and predicting potential hazards.

What are some real-world examples of the "Interesting Wave Problem"?

Some real-world examples of the "Interesting Wave Problem" include predicting the maximum wave height for offshore oil platforms, designing breakwaters to protect coastal areas from storm surges, and optimizing hull shapes for ships to minimize wave resistance.

What are some of the challenges in solving the "Interesting Wave Problem"?

One of the main challenges in solving the "Interesting Wave Problem" is the complex nature of wave dynamics, which involves a combination of linear and nonlinear phenomena. Additionally, there are many variables that can affect wave behavior, making it difficult to create a universal solution.

How is the "Interesting Wave Problem" typically solved?

The "Interesting Wave Problem" is typically solved using mathematical models and computer simulations. These tools allow scientists to take into account various factors and make predictions about wave behavior. However, empirical data and physical experiments are also important in validating and refining these models.

Back
Top