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  • The given graph (Fig.12.2) shows the displacement versus time relation for a disturbance travelling with velocity of 1500 m s–1. Calculate the wavelength of the disturbance.

The given graph (Fig.12.2) shows the displacement versus time relation for a disturbance traveling with a velocity of 1500 m s–1. Calculate the wavelength of the disturbance.

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Explanation:-

In the propagation of sound, the particle of the medium oscillates. From the graph, we can see that the time period of one complete oscillation is to 2 microseconds.

The wavelength of disturbance is defined as the distance traveled by a disturbance in one time period of oscillation.

Now, 

\lambda=V\times T 

or

\lambda=\frac{V}{f}

As the disturbance is moving with 1500 m/s and time period is 2 microseconds,

The wavelength can be calculated as:

\lambda=V\times T =1500 \times 2 \times 10^{-6}=3 \times 10^{-3}=3mm

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