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Question: Figure shown is a graph, at a certain time t, of the displacement function S(x, t) of three sound wa...

Figure shown is a graph, at a certain time t, of the displacement function S(x, t) of three sound waves 1,2 and 3 as marked on the curves that travel along an x-axis through air. If p1,p2 and p3 represent their pressure amplitudes respectively, then correct relation between them is :

A

P1> P2> P3

B

P3> P2> P1

C

P1 = P2 = P3

D

P2>P3>P1

Answer

P3> P2> P1

Explanation

Solution

P0 = B.k.S0= B(2πλ)\left( \frac{2\pi}{\lambda} \right)S0

⇒ P01λ\frac{1}{\lambda}

Thus pressure amplitude is highest for minimum wavelength, other parameters B and S0 being same for all.