a wave has a speed of 500 m/s and a frequency of 25 hz. what is the wavelength of this wave in metres?
LectureNotes said a wave has a speed of 500 m/s and a frequency of 25 Hz. What is the wavelength of this wave in metres?
Answer: To find the wavelength of a wave, you can use the wave equation, which relates the speed of the wave (v), its frequency (f), and its wavelength (λ):
v = f \times \lambda
Here, we are given:
- The speed of the wave ( v = 500 , \text{m/s} )
- The frequency of the wave ( f = 25 , \text{Hz} )
We need to find the wavelength ( \lambda ). Rearrange the wave equation to solve for ( \lambda ):
\lambda = \frac{v}{f}
Substitute the given values into the equation:
\lambda = \frac{500 \, \text{m/s}}{25 \, \text{Hz}}
Calculate the wavelength:
\lambda = 20 \, \text{m}
Therefore, the wavelength of the wave is \boxed{20 \, \text{metres}} .