anonymous
  • anonymous
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?
Physics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
When dealing with mHz, the short formula is 300/F in mHz. 300/99
JamesJ
  • 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 \[ \lambda = c/f \]
radar
  • radar
The given frequency is not;\[f=99\times10^{3}\]but is given as\[f =99\times10^{6}\]Hz of course/

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