Surface waves vs longitudinal waves

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In fluid dynamics, longitudinal waves can propagate through fluids, while in ocean water, both transverse and longitudinal waves are present. This indicates that ocean water, while a fluid, exhibits unique properties due to its surface interactions. Transverse waves in the ocean are primarily surface phenomena, where fluid molecules move in rotational trajectories influenced by gravity and pressure. These waves do not propagate through the bulk of the fluid due to minimal shear forces. The discussion highlights the complexity of wave behavior in different fluid states, particularly in oceanic environments.
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in fluid only longitudinal waves propagate but in Ocean water both transverse and longitudinal waves propagate. Does that mean Ocean water is not a fluid? I am confused. Can anyone explain please.(Longitudinal wave is the evidence for Earth core is liquid)
 
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It is my understanding that transverse waves on the ocean are a surface phenomenon, occurring near the boundary of the fluid. They involve rotational trajectories of the fluid molecules with gravity/pressure providing the restoring force. They don't propagate through the bulk of the fluid because shear forces are non existent (or too small to matter).

Some nice animations of the various types of waves can be found here.
 
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Thank you so much for your attempt. I am sorry, I am not convinced though...
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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