Sound is propagating in water, which has a density 1,000 kg/m3 and a bulk modulu

Question

Sound is propagating in water, which has a density 1,000 kg/m3 and a bulk modulus
2.2 x 109 N/m2. The intensity of the sound is found to be 0.04 W/m2. The pressure amplitude of the wave is 2,000 N/m2. What is the density amplitude of the sound wave?

A. 1.3 x 10-5 kg/m3

B. 2.5 x 10-3 kg/m3

C. 4.3 x 10-3 kg/m3

D. 9.1 x 10-4 kg/m3

E. 2.1 x 10-2 kg/m3

I will award points if you give how you solved it, not just the answer. This is on a practice exam and is supposed to be a question that is done quickly

Explanation / Answer

Intensity I = Pamx^2/2sqrt(rho B)

sqrt(rho B) = 2000*2000/2*0.4

r ho B = 5*10^7

rho =5*10^7/2.2 *10^9 = 2.1 *10^-2 option E

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