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A bat emits ultrasonic sound of frequency 1000 kHz in air. If this sound meets a water surface, what is the wavelength of (a) the reflected sound, (b) the transmitted sound? Speed of sound in air = 340 ms-1 and in water = 1486 ms-1.

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As an experienced tutor registered on UrbanPro, I'd be glad to help you with this physics problem! When a sound wave encounters a boundary between two different mediums, such as air and water, it undergoes changes in its properties. Let's solve the problem step by step. (a) The wavelength of the reflected...
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As an experienced tutor registered on UrbanPro, I'd be glad to help you with this physics problem!

When a sound wave encounters a boundary between two different mediums, such as air and water, it undergoes changes in its properties. Let's solve the problem step by step.

(a) The wavelength of the reflected sound: We can use the formula:

Wavelength=SpeedFrequencyWavelength=FrequencySpeed

Given that the frequency of the sound emitted by the bat is 1000 kHz1000kHz and the speed of sound in air is 340 m/s340m/s, we can plug these values into the formula:

Wavelength in air=340 m/s1000×103 HzWavelength in air=1000×103Hz340m/s

Now, calculate the wavelength in air.

(b) The wavelength of the transmitted sound: Similarly, we can use the same formula, but this time, we'll use the speed of sound in water, which is 1486 m/s1486m/s.

Wavelength in water=1486 m/s1000×103 HzWavelength in water=1000×103Hz1486m/s

Now, calculate the wavelength in water.

Once you have both these values, you'll have the wavelengths of the reflected and transmitted sounds when the ultrasonic sound meets a water surface. If you need further clarification or assistance with the calculations, feel free to ask!

 
 
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