Question Detail
Question
What is the increase in loudness in decibels when the sound intensity increases from 10⁻¹ W/m² to 1 W/m²? (Assume I₀ = 10⁻¹² W/m²)
Correct Answer
Option B is the correct answer.
Detailed Explanation
The document calculates L(10⁻¹ W/m) = 110 dB and L(1 W/m) = 120 dB. It then states: 'You could also get this increase as L(10⁻¹ → 1W / m) = 10log₁₀( (1)/(10⁻¹) ) = 10log₁₀(10) = 10 dB'.
Hint
Calculate the difference in decibels or use the formula for the ratio of intensities: L_difference = 10log₁₀(I₂/I₁).