You sit in the center of a room that includes an amazing surround-sound system, consisting of 10 speakers (all of which are equidistant from your ears). You play a tone from all 10 speakers at once, but they have randomly-distributed relative phases, so you hear the same volume as if you turned up the power coming through a single speaker by a factor of 10. From this arrangement you hear the tone at an intensity level of 35 dB. Next you reconfigure the speakers so that they play the tones in phase. If the volume of each speaker is the same as before, what is the decibel level of this new sound?

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Q: Question 7

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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.