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A bat emits ultrasonic sound of frequency $100 kHz$ in air. If this sound meets a water surface, what is the wavelength of the reflected sound? Speed of sound in air $= 340 m s^{- 1}$ , and in water $= 1486 m s^{- 1}$

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3.4 \times 10^{- 3} m

3.5 \times 10^{- 3} m

3 \times 10^{- 3} m

4 \times 10^{- 3} m

answer is A.

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Detailed Solution

The wavelength of the reflected sound is

3.4 \times 10^{- 3} m .

Here,
Ultrasonic sound of frequency

v = 100 kHz

= 100 \times 10^{3} Hz

= 10^{5} Hz

= 10^{5} s^{- 1}

Speed of sound in air

v_{a} = 340 m s^{- 1}

Speed of sound in water

v_{w} = 1500 m s^{- 1}

Frequency of both the reflected and transmitted sound remains unchanged.
Wavelength of reflected sound,

λ_{a} = \frac{v_{a}}{v}

= \frac{340 m s^{- 1}}{10^{5} s^{- 1}}

= 34 \times 10^{- 4} m

= 3.4 \times 10^{- 3} m

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