Ncert Exercises & Solutions

15.6 A bat emits an 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/sec and in water 1486 m/sec.

Frequency of the ultrasonic sound ν = 1000 kHz = 10^{6} Hz

Speed of sound in air, v_{a} = 340 m / s

The wavelength (λ_{r}) of the reflected sound :

λ_{r} = \frac{v}{ν} = \frac{340}{10^{6}} = 3.4 \times 10^{- 4} m

Frequency of the ultrasonic sound, ν = 1000 kHz = 10^{6} Hz

Speed of sound in water, v_{w} = 1486 m / s

The wavelength of the transmitted sound :

λ_{r} = \frac{1486}{10^{6}} = 1.49 \times 10^{- 3} m

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