Maths.

2007-12-22 11:09 pm
1.The loudness of sound is L(in dB) defined as
L=10 log I/Io, where I is intensity of the sound
(in W/m^2) and Io is the lowest intensity of a
sound that can just be heard.

a)Express log I in terms of L and log Io.

b)At the beginning of a football match, the noise
level was measured to be 70 dB.When team A
scored a goal, the sound intensity was increased
by 150%, find the loudness of sound level at that
moment in dB.
(6 marks)

回答 (1)

2007-12-22 11:26 pm
✔ 最佳答案
a)L=10 log I/Io
L=10 log I - 10log Io
log I = (L + 10log Io) / 10

b) L = 10log I*(1+150%)/Io
= 10(log2.5 + 2 - 2 + log I/Io)
= 10log2.5 + 70 dB


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