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Unless stated otherwise, use 344 m/s for the speed of sound in air. Decibel problems! a) A common rule in audio engineering is “one must double amplifier power to add 3dB to sound output at the same distance of listening”. Justify this using a calculation. b) When you are 1000 m from a boombox being played at a beach party, you can barely hear anything (0 dB). How close can you get to the boombox before you experience ear pain (120 db)? c) At a rock concert, your eardrum is 8.00 m from a loudspeaker that has a power output of 280.0 Watts. The cross-sectional area of the eardrum is 5.00 × 10-5 m2. i)What is the intensity of sound energy (in W/m2) in the region near your ear? (Assume that the loudspeaker is a point source of sound energy, i.e., the sound waves spread out uniformly in all directions.) ii)How loud is the sound, i.e. what is the “intensity level” of the sound energy (in dB)? iii)How much energy goes into your ear during a 70 minute concert?
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