Linear Wave Theory (10pt) The maximum vertical particle velocity occurs at (1) Crest (2) trough (3) crossing-point.

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Linear Wave Theory (10pt) The maximum vertical particle velocity occurs at (1) Crest (2) trough (3) crossing-point

capillary waves (10pt)  What is the primary restoring force for capillary waves? (1) Coriolis force (2) Gravity force (3) Surface tension

Tsunamis (10pt)  What is the ratio of tsunami celerity at 400m waterdepth to that at 40m waterdepth?

Elastic Wave on Tensioned String (15pt) When Tension=300N, Mass/length=3kg/m, Circular frequency=10rad/s Find the corresponding wavelength!

Airy’s Linear Wave Theory (15pt) Wave length=120m, water depth=15m What is the wave period?

Celerity & Group Velocity (15pt) If a sinusoidal wave has the following dispersion relation between circular frequency w and wave number k w=3k Find its celerity and group velocity.

Celerity & Group Velocity (15pt)  When wavelength=80m at 6m water depth, what is the group velocity?

particle velocity (20pt)  When wavelength=80m at 6m water depth (same as previous question), what is the maximum horizontal particle velocity at the crest of 2-m wave amplitude?

Wave energy (20pt)  What is the total wave energy in one wavelength and along 1-km crest line in deep water for H=4m T=11s

Wave Power (20pt)  What is wave power in deep water per unit width of crest line? H=4m T=11s

Encounter Frequency: Doppler Effect (20pt) If ship speed is 6m/s and advancing in the same direction as a linear wave of length=120m in deep water, What is the encounter wave frequency observed from the ship?

Partial Standing Wave (30pt) When maximum and minimum free- surface elevations above MWL are 1m and 0.2m and the distance between them is 30m Find wave length and reflection coefficient!

Perfect Standing Wave (30pt) In Deepwater, Elevation of anti-node above MWL=4m Wave period=10s What is the magnitude of horizontal particle velocity 2m below the node?

Particle Orbit of Linear Wave (25pt) Wave length=100m, water depth=10m, wave height=2m What is the major semi-axis (longer radius) of the elliptical orbit at z=0?

Pressure (30pt) Wave length=100m, water depth=10m, wave height=2m (same as previous question) What is the static and dynamic pressure magnitude 3m below MWL?

Shoaling (30pt) In case of normal incidence and mild- slope seabed (neglect refraction and reflection) What is the new wavelength and wave height at depth=7m for 11s deepwater wave.