Pomona Sprout is teaching about mandrake roots at Hogwarts when she pulls one screaming from the ground. The mandrake screams at a decibel level of 93.00dB for students located 1.750m away. a) What would be the decibel level 5.000m away where Hermione is standing? b) If the scream had a frequency of 2523Hz, what would the temperature of the air need to be for the wave to have a wavelength of 0.1333m?

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Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.