Answer: [tex]7.5(10)^{-7} m[/tex]
Explanation:
The frequency [tex]\nu[/tex] of an electromagnetic wave is given by the following equation:
[tex]\nu=\frac{c}{\lambda}[/tex]
Where:
[tex]c=3(10)^{8} m/s[/tex] is the speed of light in vacuum
[tex]\nu=4(10)^{14} Hz[/tex] is the frequency of red light
[tex]\lambda[/tex] is the wavelength of red light
Isolating [tex]\lambda[/tex]:
[tex]\lambda=\frac{c}{\nu}[/tex]
[tex]\lambda=\frac{3(10)^{8} m/s}{4(10)^{14} Hz}[/tex]
Finally:
[tex]\lambda=7.5(10)^{-7} m[/tex]
