Question

What is the velocity of a wave with a frequency of 1,000,000 hertz and a wavelength of 10,000 meters?

Answer 1

Let's rewrite frequency and wavelength in scientific notation:

`f=1000000=1\cdot 10^6 Hz`

`\lambda =10000 m= 1\cdot 10^4 m`

And then, by using the relationship between speed of a wave, frequency and wavelength:

`v=\lambda f`
we can find the speed of the wave of the problem:

`v=\lambda f=(1\cdot 10^4 m)(1\cdot 10^6 Hz)=1 \cdot 10^(10) m/s`

Note that such wave cannot exist in real world, because it travels faster than light! (the speed of light is
`c=3 \cdot 10^8 m/s`)