A sound wave with a frequency of 15 kHz emerges through a

Chapter , Problem 65

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A sound wave with a frequency of 15 kHz emerges through a circular opening that has a diameter of 0.20 m. Concepts: (i) The diff raction angle for a wave emerging through a circular opening is given by sin u 5 1.22 l/D, where l is the wavelength of the sound and D is the diameter of the opening. What is meant by the diff raction angle? (ii) How is the wavelength related to the frequency of the sound? (iii) Is the wavelength of the sound in air greater than, smaller than, or equal to the wavelength in water? Why? (Note: The speed of sound in air is 343 m/s and the speed of sound in water is 1482 m/s.) (iv) Is the diff raction angle of the sound in air greater than, * smaller than, or equal to the diff raction angle in water? Explain. Calculations: Find the diff raction angle u when the sound travels (a) in air and (b) in water