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Q.

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 x-axis through air. If P1, P2 and P3 represent their pressure amplitudes respectively, then correct relation between them is

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a

P1>P2>P3

b

P3>P2>P1

c

P1=P2=P3

d

P2>P3>P1

answer is B.

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Detailed Solution

P0=B⋅K.S0=B2πλS0⇒P0∝1λThus, pressure amplitude is highest for minimum wavelength, other parameters B and S0 being same for all. From given graphs.       λ3<λ2<λ1 Hence P3>P2>P1
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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 x-axis through air. If P1, P2 and P3 represent their pressure amplitudes respectively, then correct relation between them is