Using an intensity of 1 × 10-12 Wm2 as a reference, the threshold o.pdf
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The document calculates the sound intensity for two individuals with different hearing thresholds compared to a reference intensity. Person 1 has a threshold of -14.0 dB resulting in an intensity of 3.98 × 10^-14 w/m², while Person 2 has a threshold of +23.0 dB with an intensity of 1.99 × 10^-10 w/m². The ratio of their intensities is 2.00 × 10^-4.
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![Using an intensity of 1 × 10-12 W/m2 as a reference, the threshold of hearing for an average
young person is 0 dB. Person 1 and person 2, who are not average, have thresholds of hearing
that are 1 = -14.0 dB and 2 = +23.0 dB. What is the ratio I1/I2 of the sound intensity I1 when
person 1 hears the sound at his own threshold of hearing compared to the sound intensity I2
when person 2 hears the sound at his own threshold of hearing?
Solution
I = 1 * 10-12 * 10[dB/10]
I1 = 1 * 10-12 * 10[-14 / 10 ]
= 3.98 * 10-14 w/m2
I2 = 1 * 10-12 * 10[23 / 10 ]
= 1.99 * 10-10 w/m2
ratio = (3.98 * 10-14) / (1.99 * 10-10)
= 2.00 * 10-4](https://image.slidesharecdn.com/usinganintensityof110-12wm2asareferencethethresholdo-230707193908-458f2f76/85/Using-an-intensity-of-1-x-10-12-Wm2-as-a-reference-the-threshold-o-pdf-1-320.jpg)
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Using an intensity of 1 × 10-12 Wm2 as a reference, the threshold o.pdf
- 1. Using an intensity of 1 × 10-12 W/m2 as a reference, the threshold of hearing for an average young person is 0 dB. Person 1 and person 2, who are not average, have thresholds of hearing that are 1 = -14.0 dB and 2 = +23.0 dB. What is the ratio I1/I2 of the sound intensity I1 when person 1 hears the sound at his own threshold of hearing compared to the sound intensity I2 when person 2 hears the sound at his own threshold of hearing? Solution I = 1 * 10-12 * 10[dB/10] I1 = 1 * 10-12 * 10[-14 / 10 ] = 3.98 * 10-14 w/m2 I2 = 1 * 10-12 * 10[23 / 10 ] = 1.99 * 10-10 w/m2 ratio = (3.98 * 10-14) / (1.99 * 10-10) = 2.00 * 10-4