Question

What is the wavelength of a wave with a frequency of 0.4 kHz traveling at 16 m/s?

Answer 1

Answer: .04 meters

Explanation: The first thing that you want to do is convert .4 kHz to Hz. To do this, you multiply the number by $10^{3}$. You should ger 400 Hz. After you've done so, you're going to look at the equation "wavelength = velocity/frequency." You then plug in the numbers into the equation: "wavelength = (16 m/s)/(400 Hz) The resulting answer is .04 meters

Answer 2

Answer: 0.04metres

Explanation:

The wavelength of a wave is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ

Recall that Velocity (V) = Frequency F x wavelength λ

V = F λ

Make λ the subject formula

λ = V / F

In this case Frequency = 0.4 kHz

Convert kilohertz to hertz by multiplying 0.4 by 1000 i.e (0.4 x 1000Hz) = 400Hz

Velocity of wave = 16 m/s

So, λ = V / F

λ = 16 m/s / 400Hz

λ = 0.04metres

Thus, the wavelength of a wave is 0.04metres