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Prove that 50dB+50dB is not equal to 100dB.
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50decibel= 20log10(Prms/20)

(Prms/20)= antilog(50/20)

Prms= 20∗316.2277

Prms= 6324.55

Here, ((Prms is Root mean square pressure)

Therefore, 50dB+50dBinr.m.s. = sqrt(6324)2+(6324.55)2

= 8944.26microPascal

Resultant sound pressure level= 20log10(Prms/20)dB

= 20log10(8944.26/20)dB

= 53 deciBels (dB)

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