1.2. Introduction to wave mechanics (Contd.)

Try these first

1. 1.

   What is Bernoulli’s equation used for?

   Hint

   Remember, it relates pressure with fluid motion.

2. 2.

   What is the basic formula for calculating potential energy of waves?

   Hint

   Think about energy related to wave height.

3. 3.

   What is the relationship between static and dynamic pressure?

   • Static pressure is always greater than dynamic
   • Dynamic pressure measures wave motion
   • Both are equal

   Hint

   Think about how gravity influences both pressures.

4. 4.

   Group velocity in deep water is typically how much compared to phase velocity?

   • Equal to phase velocity
   • Half the phase velocity
   • Double the phase velocity

   Hint

   Reflect on the relationship defined earlier.

5. 5.

   Calculate the pressure at a depth of 3 meters for a wave with a wave height of 1.5 meters using the pressure distribution equation.

   Hint

   Consider both dynamic motion and hydrostatic pressure.

6. 6.

   Explain how group celerity changes with varying wave periods and lengths and derive a formula connecting these variables.

   Hint

   Focus on the superposition principles and their collective impact.