Question

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

Answer 1

Answer: The wavelength of given electromagnetic radiation is 285.7 m

Step-by-step explanation:

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

`\\u=(c)/(\lambda)`

where,

`\\u` = frequency of the electromagnetic radiation =
`1050kHz=1050* 10^3Hz` (Conversion factor: 1 kHz = 1000 Hz)

`\lambda` = wavelength of the electromagnetic radiation = ?

c = Speed of light =
`3* 10^8m/s`

Putting values in above equation, we get:

`1050* 10^3Hz=(3* 10^8m/s)/(\lambda)\\\\\lambda=(3* 10^8m/s)/(1050* 10^3Hz)=285.7m`

Hence, the wavelength of given electromagnetic radiation is 285.7 m

Answer 2

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
3.00×10^8=λ * 1050*10^3
λ=3.00×10^8/1050*10^3
λ=285.5 m