Determine the change in path length

In summary, the task at hand is to determine the change in path length from two wave sources in phase and separated by 2cm, with a wavelength of 5cm, to a point on the second nodal line of the interference pattern. This can be achieved by using the equation for nodes, where n is odd and equal to 3 in this case.
  • #1
Matthew M
8
0

Homework Statement


A ripple tank is setup and a point selected on the second nodal line. determine the change in path length from two wave sources if they are in phase and separated by 2cm and the wave length is 5cm

Homework Equations


not really sure of what equations to use?

The Attempt at a Solution


Dont understand what this question means?
 
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  • #2
If you have quoted the question exactly (and there is no diagram) then I agree it's hard to decipher.
But my guess is they are asking for the difference in path lengths from two sources to a point P, given that:
- the sources are in phase and 2cm apart,
- the wavelength from each source is 5cm
- P is on the second nodal line of the interference pattern
 
  • #3
A node occurs when two waves meet with a wavelength difference of nλ/2 where n is odd. The second nodal line means n = 3. Does this help.
 

1. What is path length?

Path length refers to the distance traveled by an object or wave from its starting point to its endpoint. It can be measured in units such as meters, kilometers, or miles depending on the scale of the object being measured.

2. How is path length different from distance?

While path length refers to the actual distance traveled, distance is a measure of the shortest route between two points. This means that the distance may be shorter than the path length if the object or wave takes a curved or indirect path.

3. How do you determine the change in path length?

The change in path length can be determined by finding the difference between the initial path length and the final path length. This can be calculated by subtracting the initial position from the final position of the object or wave.

4. What factors can affect the change in path length?

The change in path length can be affected by a variety of factors such as the speed and direction of the object or wave, changes in the medium through which it is traveling, and the presence of obstacles or barriers in its path.

5. Why is it important to determine the change in path length?

Determining the change in path length is important in many scientific fields such as physics, engineering, and astronomy. It allows us to accurately measure the distance traveled by objects or waves and understand the effects of various factors on their movement and behavior.

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