Entering denser medium, transverse slows down while longitudinal speeds up.

[chaser0]

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I was wondering why this was.

When a transverse enters a denser medium, the refraction constant and diffractive effect causes the transverse wave to slow down.
When a sound wave enters a denser medium, it absolutely speeds up.

Why the diachotomy?

 

[chaser0]

Also, transverse waves can be different speeds in the same medium via diffractive effect.

n=f x wavelength/v
Because n and f are constant. So different wavelength HAS to result in different speeds

But all longitudinal waves are same speed in the same medium?

 

[Dasypus]

Actually, sound waves slow down in denser media. They speed up in media with a greater resistance to compression (greater bulk modulus). v∝sqrt(B/p) Mostly, media have a bulk modulus that increases more relative to air than their density does, so the wave speeds up.