Answer:
1.53 cm
Explanation:
The relationship between wavelength and frequency for a wave is:
[tex]v=f \lambda[/tex]
where
v is the speed of the wave
f is the frequency
[tex]\lambda[/tex] is the wavelength
In this problem, we have:
[tex]f = 100 kHz=1\cdot 10^5 Hz[/tex] is the frequency of the ultrasound wave
[tex]v=1530 m/s[/tex] is the speed of sound in sea water at room temperature
Re-arranging the previous equation and solving for [tex]\lambda[/tex], we find the wavelength of the ultrasound wave:
[tex]\lambda=\frac{v}{f}=\frac{1530 m/s}{1\cdot 10^5 Hz}=0.0153 m=1.53 cm[/tex]
