Question
A bat emits ultrasonic sound of frequency 1000 kHz in air. If the sound meets a water surface, what is the wavelength of (a) the reflected sound, (b) the transmitted sound? Speed of sound in air is 340 m s–1 and in water 1486 m s–1.
Solution
(a) Frequency of the ultrasonic sound, ν = 1000 kHz = 106 Hz
Speed of sound in air, va = 340 m/s
The wavelength (λr) of the reflected sound is given by the relation,
λr = v/v
= 340/106
= 3.4 × 10-4 m.
(b) Frequency of the ultrasonic sound, ν = 1000 kHz
= 106 Hz
Speed of sound in water, vw = 1486 m/s
The wavelength of the transmitted sound is given as,
λr = 1486 × 106
= 1.49 × 10-3 m.
Speed of sound in air, va = 340 m/s
The wavelength (λr) of the reflected sound is given by the relation,
λr = v/v
= 340/106
= 3.4 × 10-4 m.
(b) Frequency of the ultrasonic sound, ν = 1000 kHz
= 106 Hz
Speed of sound in water, vw = 1486 m/s
The wavelength of the transmitted sound is given as,
λr = 1486 × 106
= 1.49 × 10-3 m.
