Question

the frequency of a sound wave is 457 hz and the speed is 342.5 m/s. what is the sound's wavelength?

Answer 1

The wavelength of the wave is 0.749 meters

Explanation:

From the formula of speed of waves. We have,

v=fλ

Where,

v = speed of wave in meter per second

f = frequency of wave in hurts

λ = wavelength in meters

We need to calculate the wavelength, so we have to rearrange the formula.

λ = v/f

Substitute values in the formula

λ = 342.5/457 = 0.749 meters

Answer 2

Given:

The frequency of the sound wave, ν = 457 Hz

The speed of the sound wave, c = 342.5 m / s

To Find:

The wavelength of the sound wave, i.e., λ.

Calculation:

- We know the relation between speed, frequency and wavelength of a wave is given as:

c = ν × λ

⇒ λ = c / ν

- Putting the given values in this equation, we get:

⇒ λ = 342.5 / 457

⇒ λ = 0.7494 m

- So, the wavelength of the given sound wave is 0.7494 m.