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Triss [41]
2 years ago
7

The decibel level of the sound of a subway train was measured at 92 dB. Find the intensity in watts per square meter (W/m2). (Gi

ve your answer in scientific notation, correct to one decimal place.)
Physics
1 answer:
trasher [3.6K]2 years ago
8 0

Answer:

I = 1.58 x 10⁻³ watt/m²

Explanation:

Here, we will use the following formula:

\beta = 10\ log_{10}(\frac{I}{I_o})

where,

β = decibel level = 92 dB

I = Intenisty of sound in watt/m² = ?

I₀ = reference intensity = 10⁻¹² watt/m²

Therefore,

92\ dB =10\ log_{10}(\frac{I}{10^{-12}\ watt/m^2} )\\\\

10^{9.2} = \frac{I}{10^{-12}}\ watt/m^2\\\\I = (1.58\ x\ 10^9)(10^{-12}\ watt/m^2)

<u>I = 1.58 x 10⁻³ watt/m²</u>

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