Question

what is the ratio of sound intensities for which the intensity level difference is 1db? (Hint B1-B2=1dB)

Answer 1

the level L, of intensity is given by the subsequent formula:
\[L=10\log_{10}(\frac{ I }{ I _{0} } )\]
where I is the correspondent intensity, and I_0 is a reference intensity. So applyng the above formula for two intensities, namely I_1 and I_2, we have:
\[\Delta L=L _{2}-L _{1}=10\log_{10} (\frac{ I _{2} }{ I _{1} })\]
from which:
\[(\frac{ I _{2} }{ I _{1} })=10^{(\Delta L/10)}\]
Please try to substitute your numerical data, in order to get your answer.