Answer :
Final answer:
To calculate the intensity level in decibels for a sound wave, you need to first determine the intensity using the pressure amplitude, speed of sound, and density of the medium, then apply the formula to find the intensity level in decibels.
Explanation:
Sound intensity is a measure of the energy transmitted by a sound wave per unit of area and is given by the formula I = (1/2)ρvA², where ρ is the density of the medium, v is the speed of sound in the medium, and A is the pressure amplitude of the sound wave. In this case, with a pressure amplitude of 0.5 Pa, you can calculate the intensity. Once you have the intensity, you can find the intensity level in decibels (dB) using the formula β = 10 log₁₀(I/I₀), where I₀ is the reference intensity level.
