A two-meter long pipe filled with water is open at one end and closed at the other. You have at your disposal a tuning fork with a frequency of 250 Hz and a noise meter (a device to measure the intensity of a sound in decibel). Using the tuning fork, you lower the water level until you hear the first three resonances. The first, second, and third resonances are at 0.35m, 1.05m and 1.75m respectively. At the same time, your colleague measures the sound intensity to be 80 db at a distance of 0.5m from the tuning fork. a) Find the temperature in the room. (5 points) b) At what distance would you measure a sound intensity of 74db? Hint: assume the sound wave spread spherically and use Power= P = IA = I4πr2 = constant
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