What is the ratio of the minimum sound intensities heard by a 64 year old male and a 74 year old female?

• A. 20
• B. 40
• C. 50
• D. 100

Answer: (D)

The question refers to the concept of sound intensity and how it is typically measured. The minimum sound intensity a person can hear is often represented in decibels (dB), and the thresholds of hearing can vary with age and gender due to physiological changes in the ear and hearing pathways.

In this scenario, the problem may be referencing established data or studies that outline how the minimum hearing threshold (usually recorded in dB) could differ between a 64-year-old male and a 74-year-old female. Generally, as individuals age, their sensitivity to sound can decrease, and this decline can be quantified using the logarithmic nature of the decibel scale, which is based on ratios of intensity.

To find the ratio of minimum sound intensities between the two individuals, if the thresholds of hearing are known in decibels, the difference in dB can be converted back to intensity using the formula for sound intensity levels. The relationship between intensity levels in decibels (dB) is given by:

[

L = 10 \cdot \log_{10} \left( \frac{I}{I_0} \right)

]

where ( L ) is the sound level in decibels, ( I )