Question

A radio station's channel, such as 100.7 fm or 92.3 fm, is actually its frequency in megahertz (mhz), where 1mhz=106hz and 1hz=1s−1. calculate the broadcast wavelength of the radio station 90.90 fm.

Answer 1

90.90fm = 90.90 mhz
1Megahertz = 1.0x10^(6) hz

90.90 mhz*(1.0x10^(6) hz/1 mhz) =9.09x10^(-5) hz = 9.09x10(-5)/s

c = speed of light

c = 3.0X10^(8) meters/seconds

c = a*f

where a is the wavelength and f is the frequency

a=c/f

a = 3.0x10^(8)/9.09x10(-5) = 3.30x10^(12) meters

1 meter = 1.0x10^(9) nanometers

3.30x10^(12) meters*1.0x10^(9) nanometers = 3.30x10^(21) nanometers