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 .

Question

Philoid · Accepted Answer

Given:

(a) Frequency of the ultrasonic sound, v = 1000kHz = 10⁶Hz

Speed of sound in air, v_a = 340ms^-1

The wavelength (λ_r) of the reflected sound is given by the relation:

λ_r = v_a/v

λ_r = 340ms^-1/ 10⁶s^-1

λ_r = 3.4 × 10^-4 m

(b) Frequency of the ultrasonic sound, v = 1000 KHz

Speed of the sound in water, v_w = 1486 ms^-1

The wavelength (λ_r) of the reflected sound is given by the relation:

λ_r = v_w/v

λ_r = 1486ms^-1/ 10⁶s^-1

λ_r = 1.488 × 10^-3 m

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.

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.