Water tank and wave interference question?

In summary, the conversation discusses an experiment with water waves passing through two openings in a long board. The question is where to stand to receive minimal wave action. The correct answer is determined to be 1.25m, which is half the wavelength. One person initially got 0.94m but the correct answer book confirms 1.25m. A follow-up question asks for the method used to get the result.
  • #1
Kratos321
20
0

Homework Statement



In a large water tank experiment, water waves are generated with straight, parallel wave fronts, 3.0m apart. The wave fronts pass through two openings 5.0m apart in a long board. The end of the tank is 3.0m beyond the board. Where should you stand, relative to the perpendicular bisector of the line between the openings, if you want to receive little or not wave action?


Ok, so I tried to do this problem and got 0.94 m as my answer. Can someone please confirm this because the answer book says 1.25m.
 
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  • #2
1.25 m is about right. At that point, the path length difference is 1.5 m, which is half the wavelength. Maybe you made an algebra error somewhere?
 
  • #3
Kratos321 said:
Ok, so I tried to do this problem and got 0.94 m as my answer. Can someone please confirm this because the answer book says 1.25m.

How did you get that result?

ehild
 

Related to Water tank and wave interference question?

1. What is a water tank and wave interference question?

A water tank and wave interference question is a problem commonly encountered in physics and engineering, which involves studying the behavior of waves in a tank or container filled with water. It usually involves analyzing the interaction between two or more waves to determine the resulting wave pattern.

2. How does wave interference occur in a water tank?

Wave interference occurs in a water tank when two or more waves travel through the same medium and interact with each other. This interaction can result in constructive interference, where the waves combine to form a larger amplitude, or destructive interference, where the waves cancel each other out.

3. What factors affect the interference of waves in a water tank?

The interference of waves in a water tank can be affected by various factors such as the wavelength, amplitude, and frequency of the waves, as well as the distance between the sources of the waves and the depth of the water in the tank.

4. How is wave interference in a water tank used in real-life applications?

Wave interference in a water tank has various real-life applications, such as in the design of wave energy converters, where the interaction between ocean waves can be harnessed to generate electricity. It is also used in seismology to study earthquake waves and in the field of optics to create interference patterns.

5. What are some possible solutions to a water tank and wave interference problem?

There are several possible solutions to a water tank and wave interference problem, depending on the specific scenario. Some techniques that can be used include adjusting the frequency or amplitude of the waves, changing the distance between the wave sources, or altering the depth of the water in the tank. Mathematical calculations and simulations can also be used to analyze and predict the resulting wave pattern.

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