A) 490 dB
B) 50 dB
C) 19 dB
D) 17 dB
Correct Answer: D
Solution :
Sound levels of A and B are |
\[{{\beta }_{A}}=10\log \left( \frac{{{I}_{A}}}{{{I}_{O}}} \right)\] |
\[{{\beta }_{B}}=10\log \left( \frac{{{I}_{B}}}{{{I}_{O}}} \right)\] |
\[\therefore \]\[{{\beta }_{A}}-{{\beta }_{B}}=10\left( \log \frac{{{I}_{A}}}{{{I}_{{}^\circ }}}-\log \frac{{{I}_{B}}}{{{I}_{O}}} \right)\] |
\[=10\log \left( \frac{{{I}_{B}}}{{{I}_{A}}} \right)=10\log \left( \frac{500}{10} \right)\]\[\Rightarrow \]\[{{\beta }_{A}}-{{\beta }_{B}}=10\log 50\]\[=10\times 1.70=17dB\] |
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