A geologist is camped 8,000 m from a volcano as it erupts. a) How much time elap

Question

A geologist is camped 8,000 m from a volcano as it erupts.
a) How much time elapses before the geologists hears the sound from the eruption? Discuss what we are assuming about the propagation of the wave.

a) 8000/343 = 23.32 sec (speed of sound is approximately 23.32sec
Propagation of wave is in vacuum, no compression etc
The "speed of propagation" is the hamiltonian !
Note that the wave function doesn't live in real space, and hence you cannot define such a thing as "speed of propagation" of the wave function in things like meters per second or so. The wave function lives in Hilbert space.

I need help with part B please. Expecially why the speed of the wave changes when they go through diffrent materials

b) How much time does it take the seismic waves produced by the eruption to reach the geologist

Explanation / Answer

the speed changes because the density of material changes and so does the rate of propagation of the wave through that medium .. => denser the material faster the wave speed

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