lenaseoud9611 lenaseoud9611
  • 15-01-2020
  • Physics
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Radio waves travel at the speed of light, 300,000 km/s. The wavelength of a radio wave received at 10 megahertz is

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cjmejiab
cjmejiab cjmejiab
  • 16-01-2020

The definition of wavelength tells us that this is directly proportional to the speed of the wave, in this case, the speed of light and the frequency at which it is. Mathematically that can be described as

[tex]\lambda = \frac{c}{f}[/tex]

Here,

c = Speed velocity

f = Frequency

Our values are given as,

[tex]c = 3*10^8m/s[/tex]

[tex]f = 10*10^6Hz = 10^7Hz[/tex]

Replacing we have that

[tex]\lambda = \frac{3*10^8}{10^7}[/tex]

[tex]\lambda = 30 m[/tex]

Therefore the wavelength of a radio wave received at 10MHz is 30m

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