To calculate the time period (T) of a wave, you can use the equation:
T = 1 / f
where T is the time period and f is the frequency of the wave. The frequency (f) is the reciprocal of the time period.
In the case of monochromatic light with a wavelength of 600 nm (nanometers), we can determine its frequency using the speed of light (c) and the equation:
c = λ * f
where c is the speed of light and λ is the wavelength.
The speed of light is approximately 299,792,458 meters per second (m/s). However, we need to convert the wavelength from nanometers to meters before using these values in the equation.
Converting 600 nm to meters: 600 nm = 600 * 10^(-9) meters
Now, we can calculate the frequency (f):
c = λ * f f = c / λ
f = 299,792,458 m/s / (600 * 10^(-9) m)
f ≈ 499,654,096,667 Hz
Since the time period (T) is the reciprocal of the frequency (f), we can calculate it as:
T = 1 / f
T ≈ 1 / 499,654,096,667 s
T ≈ 2.00 * 10^(-12) seconds
Therefore, the time period for a single wavelength of monochromatic light with a wavelength of 600 nm is approximately 2.00 * 10^(-12) seconds or 2 picoseconds.