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Mechanical Properties Of Fluids

Question
CBSEENPH11018769

A sound wave of frequency 512hz and amplitude 2.4 x 10–3m is going through air of density 1.293kg/m3. Find the intensity of wave. Velocity of sound in air is 330m/s.

Solution

Given that,
Frequency of the sound wave = 512 Hz
Amplitude of the sound wave = 2.4 cross times 10-3
Density of air = 1.293 kg/m3 
Intensity of the wave is, 
                 Error converting from MathML to accessible text.
nu italic space italic equals italic space italic 512 italic space H z
rho italic space italic equals italic space italic 1 italic. italic 293 italic space k g italic divided by m to the power of italic 3 italic space
v italic space italic equals italic space italic 330 italic space m italic divided by s
A italic space italic equals italic space italic 2 italic. italic 4 italic space italic cross times italic 10 to the power of italic minus italic 3 end exponent m 
Therefore, 
Intensity, I = 2 space straight pi squared space cross times space 1.293 space cross times space 330 space cross times space left parenthesis 512 right parenthesis squared space cross times space left parenthesis 2.4 space cross times space 10 to the power of negative space 3 end exponent right parenthesis squared space 
I = 1.2728 space cross times space 10 to the power of 4 space straight J divided by straight m squared space straight s