What is the peak intensity β in decibels at a distance of 1 m from the firecracker?

140dB

Explanation:

In this problem you will be using the decibel scale to analyze a small firecracker that emits 1200 of peak  power

In order to find to find the peak intensity in dB we must first determine the intensity in W/m^2 that the  firecracker is producing:

I=  P/(4π)

I= 1200/(4π ) =>96W/m^2

now the intensity in decibels can be calculated by using the dB conversion equation

β= 10log ( )dB

is a reference intensity in the above formula i.e for sound waves and its value is W/m^2

β=10log( )dB => 10log(9.6x )dB

β= 140dB

therefore, at a distance of 1 m from the firecracker the peak intensity β is 140dB

because growing process had stoped after 4-5 year