A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound meets a water surface, what is the wavelength of (i) the reflected sound, (ii) the transmitted sound?
Speed of sound in air is 340 m s-1 and in water is 1486 m s-1
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Given: n = 1000 kHz = 106 Hz,
va = 340 m/s,
vw = 1486 m/s
To find: Reflected wavelength (λR),
Transmitted wavelength (λT),
Formula: v = nλ
Calculation:
In different medium, frequency of sound wave remains same.
From formula,
Sound is reflected in air,
i. ∴ λR = \(\frac{v_a}{n}=\frac{330}{10^6}\) = 3.4 × 10-4 m
Sound is transmitted in water,
ii. ∴ λT = \(\frac{v_w}{n}=\frac{1486}{10^6}\) = 1.486 × 10-3 m
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