Calculate the wavelength of each frequency of electromagnetic radiation: 1050 khz (typical frequency for am radio broadcasting) (assume four significant figures)

Respuesta :

W0lf93
c = λv 
here 
c is the speed of light in meters/second, a constant 3.00Ă—10^8 
λ is wavelength of the electromagnetic wave in meters (what we want) 
v is the frequency in 1/s or hertz 
so given v=1050 khz or 1050*10^3 hz 
now 
3.00Ă—10^8=λ * 1050*10^3 
λ=3.00×10^8/1050*10^3
 Î»=285.5 m

Answer: The wavelength of given electromagnetic radiation is 285.7 m

Explanation:

To calculate the wavelength of the electromagnetic radiation, we use the equation:

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

where,

[tex]\nu [/tex] = frequency of the electromagnetic radiation = [tex]1050kHz=1050\times 10^3Hz[/tex]      (Conversion factor:  1 kHz = 1000 Hz)

[tex]\lambda [/tex] = wavelength of the electromagnetic radiation = ?

c = Speed of light = [tex]3\times 10^8m/s[/tex]

Putting values in above equation, we get:

[tex]1050\times 10^3Hz=\frac{3\times 10^8m/s}{\lambda}\\\\\lambda=\frac{3\times 10^8m/s}{1050\times 10^3Hz}=285.7m[/tex]

Hence, the wavelength of given electromagnetic radiation is 285.7 m