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  • A bat emits ultrasonic sound of frequency 1000 \; kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound, (b) the transmitted sound?

Q.15.6 A bat emits ultrasonic sound of frequency 1000 \; kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound, (b) the transmitted sound? Speed of sound in air is 340\; m\; s^{-1}  and in water 1486\; m\; s^{-1}.

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(a) The wavelength of the reflected sound wave which will be travelling in air is

\\\lambda _{a}=\frac{v_{a}}{\nu }\\ \lambda _{a}=\frac{340}{10^{6}}\\ \lambda _{a}=3.4\times 10^{-4}\ m

(b) The frequency of the transmitted sound wave would not change.

The wavelength of the transmitted sound wave which will be travelling in water is

\\\lambda _{w}=\frac{v_{w}}{\nu }\\ \lambda _{w}=\frac{1486}{10^{6}}\\ \lambda _{w}=1.49\times 10^{-3}\ m

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