Question

A sound wave traveling through a certain freshwater lake has a frequency of 349.2 Hz and a wavelength of 4.25 m. What is the speed of a sound wave in this water? (Round your answer to three significant figures.)

Answer 1

The speed of the sound wave in a freshwater lake with a frequency of 349.2 Hz and a wavelength of 4.25 m is approximately 1484 m/s, rounded to three significant figures.

Step-by-step explanation:

To find the speed of a sound wave in water when given its frequency and wavelength, you can use the basic wave speed equation: speed (v) = frequency (f) × wavelength (λ). In this case, the frequency of the sound wave is 349.2 Hz, and the wavelength is 4.25 m.

To calculate the speed:

• v = 349.2 Hz × 4.25 m
• v = 1484.1 m/s

Thus, the speed of the sound wave in this freshwater lake is approximately 1484 m/s, rounded to three significant figures.

Answer 2

Answer: The wave speed of the given sound wave is
`1.48* 10^3m/s`

Step-by-step explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

`\text{Wave speed}=\lambda* \\u`

where,

`\lambda` = wavelength of the wave = 4.25 m

`\\u` = frequency of the wave = 349.2 Hz =
`349.2s^(-1)`

Putting values in above equation, we get:

`\text{Wave speed}=4.25m* 349.2s^(-1)\\\\\text{Wave speed}=1484.1m/s=1.48* 10^3m/s`

Hence, the wave speed of the given sound wave is
`1.48* 10^3m/s`