Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 12 - Sound - Problems - Page 354: 13

Answer

82 dB = $1.6 \times 10^8$ 98 dB = $6.3 \times 10^9$

Work Step by Step

Calculate the ratio for the 82-dB CD player. $$82 dB=10log\frac{I_s}{I_n}$$ $$\frac{I_s}{I_n}=10^{8.2}=1.6 \times 10^8$$ Next, for the other CD player. $$98 dB=10log\frac{I_s}{I_n}$$ $$\frac{I_s}{I_n}=10^{9.8}=6.3 \times 10^9$$
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