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Standard XII

Physics

Bulk Modulus

Figure shown ...

Question

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 $P_{1}, P_{2}$ and $P_{3}$ represent their pressure amplitudes respectively, then correct relation between them is :

P_{1} > P_{2} > P_{3}

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P_{3} > P_{2} > P_{1}

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P_{1} = P_{2} = P_{3}

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P_{2} > P_{3} > P_{1}

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Solution

The correct option is B $P_{3} > P_{2} > P_{1}$
$P_{0} = B . K . S_{0} = B (\frac{2 π}{λ}) S_{0} \Rightarrow P_{0} \propto \frac{1}{λ}$

Thus, pressure amplitude is highest for minimum wavelength,
other parameters B and $S_{0}$ being same for all (From given
graphs)

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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 :

The correct option is B P3>P2>P1P0=B.K.S0=B(2πλ)S0⇒P0∝1λThus, pressure amplitude is highest for minimum wavelength,other parameters B and S0 being same for all (From givengraphs)

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 $P_{1}, P_{2}$ and $P_{3}$ represent their pressure amplitudes respectively, then correct relation between them is :

The correct option is B $P_{3} > P_{2} > P_{1}$
$P_{0} = B . K . S_{0} = B (\frac{2 π}{λ}) S_{0} \Rightarrow P_{0} \propto \frac{1}{λ}$

Thus, pressure amplitude is highest for minimum wavelength,
other parameters B and $S_{0}$ being same for all (From given
graphs)