Waves
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Question : 6
Total: 27
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 is 340 m s – 1 and in water 1486 m s – 1 .
Solution:
Here, υ = 1 000 kHz = 1000 × 103 Hz = 106 Hz ;
speed of sound in air,v a = 340 m s – 1 ;
speed of sound in water,v w = 1 , 486 m s – 1
(a) The reflected sound : After reflection, the ultrasonic sound continues to travelin air. Ifλ a is wavelength in air, then
λ a =
=
= 3.4 × 10 − 4 m
(b) The transmitted sound : The transmitted ultrasonic sound travels in water. Ifλ w is wavelength of ultrasonic sound in water, then
λ w =
=
= 1.486 × 10 − 3 m
speed of sound in air,
speed of sound in water,
(a) The reflected sound : After reflection, the ultrasonic sound continues to travelin air. If
(b) The transmitted sound : The transmitted ultrasonic sound travels in water. If
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