2. Dispersion Relationship

Try these first

1. 1.

   What is the main governing equation used in wave mechanics?

   Hint

   Think about equations that involve potential fields.

2. 2.

   Define wave celerity.

   Hint

   Consider how we relate speed to distance and time.

3. 3.

   What does the Laplace equation govern?

   • Fluid flow
   • Mass conservation
   • Energy potential

   Hint

   Think about how fluids move in potential fields.

4. 4.

   True or False: The dispersion relationship does not consider wave depth.

   • True
   • False

   Hint

   Remember that depth plays a critical role in wave behavior.

5. 5.

   If you have a wave with a wavelength of 5m and a period of 2s traveling in 8m of water depth, how would you use the dispersion relationship to check if this is a feasible situation?

   Hint

   Ensure both sides of the equation balance to confirm feasibility.

6. 6.

   You are given a water depth of 4m. What L would correlate with a period of 1.5s using the dispersion relationship?

   Hint

   Trial and error may be required for L since it appears on both sides.