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A point sound source is situated in a medium of bulk modulus \( 1.6 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2} \). An observer standing at a distance \( 10 \mathrm{~m} \) from the source writes down the equation for the wave as \( y=A \sin (15 \pi x-6000 \pi t) \). Here \( y \) and \( x \) are in metres and \( t \) is in second. The maximum pressure amplitude received to the observers ear is \( (24 \pi) \mathrm{Pa} \), then find
(a) the density of the medium,
(b) the displacement amplitude \( A \) of the waves received by the observer and
(c) the power of the sound source.
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