Question

If a woman needs an amplification of 1.0 ✕ 105 times the threshold intensity to enable her to hear at all frequencies, what is her overall hearing loss in dB? Note that smaller amplification is appropriate for more intense sounds to avoid further damage to her hearing from levels above 90 dB.If a woman needs an amplification of 1.0 ✕ 105 times the threshold intensity to enable her to hear at all frequencies, what is her overall hearing loss in dB? Note that smaller amplification is appropriate for more intense sounds to avoid further damage to her hearing from levels above 90 dB.

Answer 1

50 dB.

Step-by-step explanation:

given,

Amplification needed by the woman,I= 1 x 10⁵ I₀

where as I₀ is the threshold frequency

overall hearing loss of the woman= ?

Using the equation of sound intensity level

`\beta(dB) = 10 log((I)/(I_0))`

`\beta(dB) = 10 log((1* 10^5\ I_0)/(I_0))`

`\beta(dB) = 10 log(1* 10^5)`

`\beta(dB) = 50\ dB`

The overall hearing loss of woman is equal to 50 dB.