Final answer:
To find the intensity in W/m² for a 50.0 dB sound, we can use the formula ß (dB) = 10 log₁₀ (I/I₀) and rearrange it to solve for I. Plugging in the values, the intensity is 10⁻² W/m²
Step-by-step explanation:
The sound intensity can be calculated using the formula ß (dB) = 10 log₁₀ (I/I₀), where ß represents the sound intensity level in decibels, I is the intensity of the sound, and I₀ is the reference intensity. In this case, the reference intensity I₀ is 10⁻¹² W/m².
To find the intensity in W/m² for a 50.0 dB sound, we can rearrange the formula and solve for I. Rearranging the formula gives us I = I₀ x 10^(ß/10). Plugging in the values, I = 10⁻¹² x 10^(50/10) = 10⁻² W/m².