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Problem_Set_3answers.pdf

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Department
Psychology
Course
PSYCH 3A03
Professor
Paul Faure
Semester
Fall

Description
Psych 3A03 27 September 2013 McMaster University Paul A. Faure Instructions and Tips -1 • Assume the speed of sound in air (c ) is =air0 m⋅s , and the speed of sound in water (c water is = 4⋅cair • A calculator is not necessary to answer these questions. 1. An increase in sound power by a factor of 2 corresponds to how many decibels (dB)? dB = 10⋅log (W / W ) 10 x ref dB = 10⋅log 10(2 / 1) dB = 10⋅(0.301) dB = 3.01 (or just 3 dB) -12 2 -6 2 2. What is the intensity level re: 10 W/m of a sound whose absolute intensity is 10 W/m ? dB = 10⋅log 10(Ix/ ref dB = 10⋅log (10 / 10 -12) 10 6 dB = 10⋅log 10(10 ) dB = 60 3. What is the intensity level re: 10 -12W/m of a sound whose absolute intensity is 2×10 W/m ? -6 2 dB = 10⋅log 10(Ix/ ref -6 -12 dB = 10⋅log 10(2×10 / 10 ) 6 dB = 10⋅log 10(2×10 ) 6 dB = 10⋅[log 10 (2) + log 10 (10 )] dB = 63 4. 20 dB corresponds to what intensity ratio? dB = 10⋅log 10(Ix/ ref 20 = 10⋅log 10(Ix/ ref 2 = log 10(Ix/ Iref 100= (I x I ref 5. An increase in sound pressure by 3 dB corresponds to an increase in sound power by _____ decibels? An increase in sound pressure by 3 dB corresponds to an increase in sound power by 3 dB. 6. An increase in sound pressure by a factor of 2 corresponds to how many decibels? dB = 20⋅log 10(P x P )ref dB = 20⋅log 10(2 / 1) dB = 20⋅log 10(0.301) dB = 6.02 (or just 6 dB) Problem Set #3 page 1 of 3 Psych 3A03 27 September 2013 McMaster University Paul A. Faure 7. An increase in sound pressure by a factor of 10 corresponds to how many decibels ? dB = 20⋅log 10 (Px/ P ref dB = 20⋅log 10 (10 / 1) dB = 20⋅(1)
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