Question

An fm radio station broadcasts electromagnetic radiation at a frequency of 101.7 mhz. the wavelength of this radiation is ________ m.

Answer 1

The velocity of electromagnetic radiation in free space (air) is the speed of light. It is c = 3 x 10⁸ m/s.
The broadcasting frequency is f = 101.7 mhz = 101.7 x 10⁹ hz.

Because velocity =  frequency *  wavelength, the wavelength of the radiation is
λ = c/f
   = (3x10⁸ m/s)/(101.7x10⁹ 1/s)
   = 2.95 x 10⁻³ m 
   = 2.95 mm

Answer: 2.95 mm