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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 travelling with velocity of 1500 m s–1. Calculate the wavelength of the disturbance.

Answers (1)

In propagation of sound, the particle of medium oscillates.

By the graph, we can see that a time period of one complete oscillation is to 2 microseconds.

The wavelength of disturbance is defined as: distance travelled by disturbance in one time period of oscillation.

\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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