For questions 1-3: Use the information below: Sound exerts a pressure on the human ear. This pressure P, measured in dynes per square centimeter, increases as the loudness of the sound increases. As the loudness D, measured in decibels, increases, the pressure increases by 12.2% per decibel. Furthermore, a sound of loudness 97 decibels produces a pressure of 15 dynes per square centimeter. 1. Find P(0) and use it to give a formula for P = P(D) in this situation. a) P(0) = 0.0002122; P(D) = 0.0002122(1.122)^D b) P(0) = 0.0002122; P(D) = 0.0002122(2.122)^D c) P(0) = 0.0002122; P(D) = 0.0002122(2.252)^D d) P(0) = 0.0002122; P(D) = 0.0002122(3.124)^D 2. What is the pressure on the ear from a sound of 50 decibels? a) 0.06704 b) 0.6704 c) 0.0852 d) 0.8523 3. When the pressure on the ear reaches a level of about 200 dynes per square centimeter, physical damage can occur. What decibel level should be considered dangerous? a) 125.6 decibels b) 119.5 decibels c) 117.6 decibels d) 113.9 decibels
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For questions 1-3: Use the information below:
Sound exerts a pressure on the human ear. This pressure P, measured in dynes per square centimeter, increases as the loudness of the sound increases. As the loudness D, measured in decibels, increases, the pressure increases by 12.2% per decibel. Furthermore, a sound of loudness 97 decibels produces a pressure of 15 dynes per square centimeter.
1. Find P(0) and use it to give a formula for P = P(D) in this situation.
a) P(0) = 0.0002122; P(D) = 0.0002122(1.122)^D
b) P(0) = 0.0002122; P(D) = 0.0002122(2.122)^D
c) P(0) = 0.0002122; P(D) = 0.0002122(2.252)^D
d) P(0) = 0.0002122; P(D) = 0.0002122(3.124)^D
2. What is the pressure on the ear from a sound of 50 decibels?
a) 0.06704
b) 0.6704
c) 0.0852
d) 0.8523
3. When the pressure on the ear reaches a level of about 200 dynes per square centimeter, physical damage can occur. What decibel level should be considered dangerous?
a) 125.6 decibels
b) 119.5 decibels
c) 117.6 decibels
d) 113.9 decibels
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