Respuesta :
Answer:
The wavelength in m = 3.208 m
The wavelength in nm =[tex]3.208\times 10^9 nm[/tex]
The wavelength in Å = [tex]3.208\times 10^{10} \AA[/tex]
Explanation:
To calculate the wavelength of light, we use the equation:
[tex]\lambda=\frac{c}{\nu}[/tex]
where,
[tex]\lambda[/tex] = wavelength of the radiation
c = speed of light = [tex]3.0\times 10^8m/s[/tex]
[tex]\nu[/tex] = frequency of wave
We have :
Frequency of the wave = [tex]\nu =93.5MHz=93.5\times 10^6 Hz[/tex]
[tex]1 Hz = 1s^{-1}[/tex]
Wavelength of the wave = [tex]\lambda [/tex]
[tex]\lambda =\frac{c}{\nu}[/tex]
[tex]\lambda=\frac{3\times 10^8 m/s}{93.5\times 10^6 s^{-1}}=3.208 m[/tex]
[tex]1 m = 10^9 nm[/tex]
[tex]3.208 m= 3.208\times 10^9 nm[/tex]
[tex]1 m = 10^{10} \AA[/tex]
[tex]3.2086 m= 3.208\times 10^{10} \AA[/tex]
The wavelength in m = 3.208 m
The wavelength in nm =[tex]3.208\times 10^9 nm[/tex]
The wavelength in Å = [tex]3.208\times 10^{10} \AA[/tex]
The wavelength in m = 3.208 m
The wavelength in nm = [tex]3.208*10^9 nm[/tex]
The wavelength in Å = [tex]3.208*10^{10}[/tex] Å
What is Wavelength?
It is equal to the speed (v) of a wave train in a medium divided by its frequency (f). It is given by:
[tex]\lambda=\frac{c}{f}[/tex]
where,
[tex]\lambda[/tex] = wavelength of the radiation
c = speed of light = [tex]3.0*10^8m/s[/tex]
f = frequency of wave = 93.5 MHz = [tex]93.5*10^6Hz[/tex]
Calculation of wavelength:
[tex]\lambda=\frac{c}{f}\\\\\lambda=\frac{3.0*10^8m/s}{93.5*10^6s^{-1}} \\\\\lambda=3.208m=3.208*10^9nm=3.208*10^{10}[/tex]Å.
Thus, The value for wavelength in different units are:
The wavelength in m = 3.208 m
The wavelength in nm = [tex]3.208*10^9 nm[/tex]
The wavelength in Å = [tex]3.208*10^{10}[/tex] Å
Find more information about Wavelength here:
brainly.com/question/10728818
