Physics

Problem

Study the behaviour of a

15\,\text{kHz}

ultrasonic wave as it moves from air into glycerine. a. (a) Derive an expression that relates the wavelengths

\lambda_1

and

\lambda_2

of a sound wave in two different media in terms of the corresponding speeds

v_1

and

v_2

, assuming the frequency remains constant during transmission. b. (b) Using your expression, calculate the wavelength of the ultrasonic wave in glycerine if the speed of sound in air is

340\,\text{m/s}

and in glycerine is

1900\,\text{m/s}

. c. (c) Explain briefly how the change in wavelength obtained in part (b) helps ultrasonic waves to clean fine cavities in industrial components.

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