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The decibel level in the front row of a rock concert in an open-air arena is 115 decibels, and the level in the back row

The decibel level in the front row of a rock concert in an open-air arena is 115 decibels, and the level in the back row is 110 decibels. How many times more intense would the sound be if you were sitting in the front row as opposed to the back row?

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READ In this activity, you will use an interactive to explore the intensity levels for common sounds relative to the decibel scale. First, let's discuss the formula for calculating sound intensity in decibels and how it's used to measure the level of recorded sounds. You may revisit the video in the Concept 4.2 Opener for a refresher. Formula for calculating sound intensity: L = 10 log (To ) . What is the unit for each variable? o L represents the sound intensity level in decibels (dB) o I represents the intensity of a given sound in w/cm o To represents the threshold of human hearing in w/cm . What does - represent? o The I represents the intensity of a given sound in w/cm and Io represents the threshold of human hearing in w/cm . As a ratio this represents the intensity of sound measured in decibels (dB). . Why is a ratio appropriate to represent sound intensity? . A ratio is appropriate in order to determine how many more times the intensity of a given sound is compared to to the threshold of human being because it is comparing two values. . Why is a logarithm used to represent sound intensity? o On the decibel logarithmic scale, each increment of 10 corresponds to a 10 fold increment of sound intensity. Very small or very large values of an underlying quality that needs to be measured correspond to the manageable values on the logarithmic scale to help make sense of extreme values.Recall that in the concept introduction, you were presented with this problem: The decibel level in the front row of a rock concert in an open-air arena is 115 decibels, and the level in the back row is 110 decibels. How many times more intense would the sound be if you were sitting in the front row as opposed to the back row? To solve this problem, you need an equation that gives the intensity I of a sound in w/cm in terms of its decibel level L. Solve the equation L = 10 log , g for intensity. B = A 10 C A= B L C = 10

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