Answer:
The frequency of the green light is [tex]6x10^{14}Hz[/tex]
Explanation:
The visible region is part of the electromagnetic spectrum, any radiation of that electromagnetic spectrum has a speed of [tex]3.00x10^{8}m/s[/tex] in the vacuum.
Green light is part of the visible region. Therefore, the frequency can be determined by the following equation:
[tex]c = \lambda \cdot \nu[/tex] (1)
Where c is the speed of light, [tex]\lambda[/tex] is the wavelength and [tex]\nu[/tex] is the frequency.
Notice that since it is electromagnetic radiation, equation 1 can be used. Remember that light propagates in the form of an electromagnetic wave (that is a magnetic field perpendicular to an electric field).
Then, [tex]\nu[/tex] can be isolated from equation 1
[tex]\nu = \frac{c}{\lambda}[/tex] (2)
Notice that it is necessary to express the wavelength in units of meters.
[tex]\lambda = 500nm . \frac{1m}{1x10^{9}nm}[/tex] ⇒ [tex]5x10^{-7}m[/tex]
[tex]\nu = \frac{3.00x10^{8}m/s}{5x10^{-7}m}[/tex]
[tex]\nu = 6x10^{14}s^{-1}[/tex]
[tex]\nu = 6x10^{14}Hz[/tex]
Hence, the frequency of the green light is [tex]6x10^{14}Hz[/tex]
