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EleoNora [17]
3 years ago
7

w One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883.According to baro

metric measurements, the sound had a decibel level of 180 dB at a distance of 161 km. Assuming theintensity falls offas the inverse of the distance squared, what was the decibel level on Rodriguez Island, 4 800 km away?
Physics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

The decibel level is <em>0.203 dB.</em>

Explanation:

The relationship between the sound intensity, I, and the distance, r, is given below:

<em>I\alpha \frac{1}{r^{2}} </em>

Therefore,

<em>I=\frac{k}{r^{2}}</em>

∴ <em>Ir^{2} =Constant ...... (1)</em>

<em>So I_{1} r_{1}^{2} = I_{2} r_{2}^{2}</em>

<em>I_{2} =I_{1}(\frac{r_{1}}{r_{2}})^{2} ....... (1)</em>

Fitting the given terms into equation (1), we can obtain the decibel level on Rodriguez Island:

I_{2} =180(\frac{161 km}{4800km})^{2} \\\\I_{2} = 0.203 dB

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