A sound wave of amplitude 0.2mm has an intensity of 3W/m(squared). what will be the intensity of sound of same frequency having amplitude 0.4mm?

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Answer 1 · 2018-06-19T13:53:55

#12# watts per meter squared.

Intensity is directly proportional to the square of the amplitude, i.e.

#IpropA^2#

or

#I_1/I_2=A_1^2/A_2^2#

where:

#I# is the intensity of the wave

#A# is the amplitude of the wave

So, we get:

#(3 \ "W/m"^2)/I_2=(0.2 \ "mm")^2/(0.4 \ "mm")^2#

#=(0.04color(red)cancelcolor(black)("mm"^2))/(0.16color(red)cancelcolor(black)("mm"^2))#

#=1/4#

#:.I_2=4/1*3 \ "W/m"^2#

#=12 \ "W/m"^2#