The time period (T) of a single wavelength of monochromatic light can be calculated using the formula:
T = 1 / f
where f represents the frequency of the light wave. The frequency (f) is related to the speed of light (c) and the wavelength (λ) by the equation:
c = f * λ
Rearranging this equation, we can express the frequency as:
f = c / λ
Substituting this expression for f into the equation for the time period, we get:
T = 1 / (c / λ)
T = λ / c
Now, let's plug in the values for the wavelength and the speed of light:
λ = 600 nm (600 x 10^-9 m) c = 299,792,458 m/s (speed of light in vacuum)
T = (600 x 10^-9 m) / (299,792,458 m/s)
Calculating this, we find:
T ≈ 2.001 x 10^-15 seconds
Therefore, a single wavelength of monochromatic light with a wavelength of 600 nm has a time period of approximately 2.001 x 10^-15 seconds.