The human ear can detect a minimum intensity of Io = 10-12 W/m2, which has a sound intensity of 0 

It looks like your statement about sound intensity was cut off. However, I believe you're referring to the threshold of hearing, where the minimum intensity of sound the human ear can detect is \( I_0 = 10^{-12} \, \text{W/m}^2 \).

This intensity corresponds to 0 **decibels (dB)** on the **decibel scale**, which measures the loudness of sound based on the logarithmic scale. The formula for calculating the sound level in decibels is given by:

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

Where:
- \( L \) is the sound level in decibels (dB),
- \( I \) is the intensity of the sound (in watts per square meter, W/m²),
- \( I_0 \) is the reference intensity, typically \( I_0 = 10^{-12} \, \text{W/m}^2 \) (the threshold of hearing).

If \( I = I_0 \), then:

\[
L = 10 \log_{10} \left( \frac{I_0}{I_0} \right) = 10 \log_{10}(1) = 0 \, \text{dB}
\]

Thus, the minimum detectable sound intensity, \( I_0 \), is defined as 0 dB.

Would you like more details or further explanation? Here are some related questions for practice:

1. How do you calculate the sound level for a sound with an intensity of \( 10^{-8} \, \text{W/m}^2 \)?
2. What is the relationship between intensity and decibels in a noisier environment?
3. If a sound measures 30 dB, what is its intensity in \( \text{W/m}^2 \)?
4. How does the human ear perceive differences in decibels?
5. What is the typical sound intensity of normal conversation in \( \text{W/m}^2 \)?

**Tip:** The decibel scale is logarithmic, meaning that a small change in dB corresponds to a large change in actual sound intensity.

The human ear can detect a minimum intensity of I0 = 10^-12 W/m^2, which has a sound intensity of 0.

Explore how the human ear detects sound intensity starting from 10^-12 W/m^2, which corresponds to 0 decibels. Learn about the logarithmic scale for measuring sound and apply the decibel calculation formula. Suitable for students in Grades 9-12.

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