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A plane longitudinal wave having angular...

A plane longitudinal wave having angular frequency `omega` = 500 rad /sec is travelling in positive x-direction in a medium of density `rho` =1 kg/m and bulk modulus `4 xx 10^4 N//m^2` . The loudness at a point in the medium is observed to be 20 dB. Assuming at x = 0 initial phase of the medium particles to be zero, find the equation of the wave

A

`y = 2 xx 10^(-9) sin(500 t - (5x)/2)`

B

`y = 3 xx 10^(-9) sin(500 t + (5x)/2)`

C

`y = 3 xx 10^(-9) sin(500 t + (5x)/2)`

D

`y = 2 xx 10^(-9) sin(5000 t - (5x)/2)`

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The correct Answer is:
A
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