## anonymous 4 years ago Radio stations are usually identified bytheir frequency. One radio station in the middle of the FM band hasa frequency of 99.0 MHz. What is itswavelength?

1. anonymous

When dealing with mHz, the short formula is 300/F in mHz. 300/99

2. JamesJ

If a wave has wavelength $$\lambda$$ and frequency $$f$$, then its speed $$v$$ is given by $v = f \lambda$ You can see that because by definition of frequency, in one second $$f$$ entire waves go by. How long are those waves? $$\lambda$$. Hence in one second the wave travels $$f \lambda$$. Now, a radio wave travels at the speed of light, so $$v = c = 3.00 \times 10^{10} \ m/s$$. Hence given your frequency of $$f = 99 \times 10^3 \ Hz$$, the wavelength is $\lambda = c/f$

The given frequency is not;$f=99\times10^{3}$but is given as$f =99\times10^{6}$Hz of course/