To develop this problem we will apply the concepts related to Sound Intensity. This can be defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Mathematically it can be written as,
[tex]\Delta L = 10log(n)[/tex]
[tex]\Delta L[/tex] = Level Difference
n = Number of equal loud sound sources
n = 15
Therefore replacing we have,
[tex]\Delta L = 10 log (n)\\\Delta L = 10 log (15)\\\Delta L = 10*1.176\\\Delta L = 11.76dB[/tex]
Therefore over 100dB the total difference intensity level would be
[tex]L_T = L_0 -\Delta L[/tex]
Here,
[tex]L_0 = \text{ Total intensity}[/tex]
[tex]\L_T = 100 -11.76[/tex]
[tex]_T= 88.24dB[/tex]
The intensity level generated by one engine is
[tex]L_T = 88.44dB[/tex]
