Respuesta :
Answer: The wavelength of the wave travelling through vaccum is [tex]7.5\times 10^{-7}m[/tex]
Explanation:
To calculate the wavelength of the wave, we use the formula:
[tex]\nu=\frac{c}{\lambda}[/tex]
Rearranging the terms,
[tex]\lambda=\frac{c}{\nu}[/tex]
Where, [tex]\lambda[/tex] = wavelength of the wave = ?
[tex]\nu[/tex] = Frequency of the wave = [tex]4.0\times 10^{14}s^{-1}[/tex]
c = Speed of light in vacuum = [tex]3.0\times 10^8m/s[/tex]
Putting values in above equation, we get:
[tex]\lambda=\frac{3.0\times 10^8m/s}{4.0\times 10^{14}s^{-1}}\\\\\lambda=0.75\times 10^{-6}m=7.5\times 10^{-7}m[/tex]
Hence, wavelength of the wave in vacuum will be [tex]7.5\times 10^{-7}m[/tex]
