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The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

The Loudness L Measured In Decibels Db Of Sound Intensity I Measured In Watts Per Square Meter Is Defined As L 10 Log StartFraction I Over I 0 EndFraction Where class=

Sagot :

varshamittal029

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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