On the front row of the concert the sound level reaches a value of 110 dB. In the back row thw sound intensity is reduced by a factor of 1000. What is the decibel level on the back row?
Decibel level defined as
L1 = 10 log10(I1/I0) dB
where I1 and I0 are the intensities. I0 is the standard reference sound intensity
L1 = 10*log10 (I1/I0) = 110 dB - sound level on the front row. L2 = 10*log10 (I2/I0) = 110 dB - sound level on the back row. I2=I1/1000 So L2=10*log10 (I1/1000)/I0 = 10*log10(I1/I0) + 10*log10(1/1000) = 110 - 3 = 107 dB Because Answer : 107 dB.