The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,
L = 10 log(I/I₀)
where I₀ = 10⁻¹² which is the least intensity that a human can hear.
The sound intensity of a dinner conversation= I= 10⁻⁷
Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)
= 10 log(10⁻⁷⁻⁽⁻¹²⁾)
= 10 log(10⁻⁷⁺¹²)
= 10 log(10⁵)
= 10*5
= 50 Db
Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
Learn more about the sound intensity
here: https://brainly.com/question/17062836
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