A dolphin emits ultrasound at 100kHz and uses the timing of reflections to determine the position of objects in the water. Part A What is the wavelength of this ultrasound? Assu…

Question

asked May 18, 2020 6.6k views

1 Answer

Georgi Michev · Answer 1 · 2020-05-23T15:24:21+0000

Answer:

1.53 cm

Step-by-step explanation:

The relationship between wavelength and frequency for a wave is:

$v=f \lambda$

where

v is the speed of the wave

f is the frequency

$\lambda$ is the wavelength

In this problem, we have:

$f = 100 kHz=1\cdot 10^5 Hz$ is the frequency of the ultrasound wave

v=1530 m/s is the speed of sound in sea water at room temperature

Re-arranging the previous equation and solving for
$\lambda$ , we find the wavelength of the ultrasound wave:

$\lambda=(v)/(f)=(1530 m/s)/(1\cdot 10^5 Hz)=0.0153 m=1.53 cm$