Question

A whisper has a rating of 30 decibels. a normal conversation has a rating of about 64 decibels. how many times stronger is a normal conversation than a whisper?

Answer 1

Answer:

notmal conversation is 30/64 ×100 = 46.875% stronger than whisper.

Answer 2

Answer:

Hello,

Step-by-step explanation:

P means Power .

$30db=10*log_{10}\dfrac{P\ whisper}{P\ ref}\\\ \Longrightarrow\ P\ whisper=10^3*P\ ref\\\\64db=10*log_{10}\dfrac{P\ normal\ conversation}{P\ ref}\\\ \Longrightarrow\ P\ normal\ conservation=10^{6.4}*P\ ref\\\\\\\dfrac{P\ normal\ conversation}{P\ whisper}=\dfrac{10^{6.4}*P\ ref}{10^{3}*P\ ref} \\\\=10^{6.4-3}\\=10^{3.4}\approx{2511,9}\\\\\boxed{P\ normal\ conversation\approx{2511,9}*P\ whisper}$