Question

Challenge: a sound wave with a frequency of 100.0 Hz travels in water with a speed of 1,500 m/s and then travels in air with a speed of 340 m/s. Approximately how many times larger is the wavelength in water than in air?

Answer 1

The wavelength in water will be 4.4 times the  wavelength in air.

What is wavelength?

The distance between two adjacent corresponding points of the same phase on the wave, such two adjacent crests, troughs, or zero crossings is known as the wavelength.

The wavelength of the sound wave in water is given as;

$\rm v= f \lambda \\\\ \lambda= \frac{v}{f} \\\\ \lambda= \frac{1500}{100} \\\\ \lambda_w=15$ nm

The wavelength of the sound wave in air is given as;

$\rm v= f \lambda \\\\ \lambda= \frac{v}{f} \\\\ \lambda= \frac{340}{100} \\\\ \lambda_A=3.4 nm$

The ratio between the wavelength is found as;

$\rm R=\frac{\lambda_w}{\lambda_A} \\\\ \rm R=\frac{15}{3.4}\\\\ \rm R=4.4$

Hence the wavelength in water will be 4.4 times the  wavelength in air.

To learn more about the wavelength refer to the link;

https://brainly.com/question/7143261