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.

Question

Physics

Chace

6 January, 08:18

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.

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Giovani Underwood · 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