can't do this medical physics question

The smallest increase in sound intensity which the human ear can detect is about 12%. Express this change in decibels.

thanks! :smile:

Reply 1

Mehh

cat123

The smallest increase in sound intensity which the human ear can detect is about 12%. Express this change in decibels.

thanks! :smile:

A Bel is a logrithmic measure of the difference in two quantities.
A Bel difference is 10x difference in two signals.
A decibel is 0.1 Bel.
Thus to work out how many Bels, N one signal is compared to another one uses the following...

10^N = A/B
log₁₀10^N = log₁₀ A/B
N = log₁₀ A/B

Therefore to convert to decibels (n)...
0.1n = N = log₁₀ A/B
n = 10N = 10 log₁₀ A/B

Sooo for your question A = 1.12B
n = 10 log₁₀ 1.12B/B
n = 10 log₁₀ 1.12
n = 0.5dB

Reply 2

Theorist