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seropon [69]
3 years ago
12

A sound is recorded at 19 decibels. What is the intensity of the sound?

Physics
1 answer:
aalyn [17]3 years ago
4 0

Answer:

79·433 × 10^{-12} W/m²

Explanation:

Given intensity of sound in decibels is 19

Formula for intensity of sound in decibels is

<h3>I_{1} = 10 × ㏒(I ÷ I_{0})</h3>

where

I_{1} is the intensity of sound measured in decibels

I is the intensity of sound measured in W/m²

I_{0} is the intensity of the sound that is taken as standard and it's value is equal to 10^{-12} W/m²

By applying the formula

19 = 10 × ㏒(I ÷ I_{0})

⇒ 1·9 = ㏒(I ÷ I_{0})

⇒ antilog(1·9) = I ÷ I_{0}

⇒ 79·433 = I ÷ 10^{-12}

⇒ I = 79·433 × 10^{-12} W/m²

∴ Intensity of sound = 79·433 × 10^{-12} W/m²

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The natural frequency of this dowel rod is determined as 0.5 Hz.

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