The period of a wave (T) is the time taken for one complete oscillation of the wave. The frequency (ν) of a wave is the number of complete oscillations or cycles per second. The speed of light (c) is a constant, and is given by c = λν, where λ is the wavelength of the wave. The wavenumber (k) of a wave is the number of waves per unit length, and is given by k = 1/λ.
Given: Period (T) = 2.0 x 10^(-10) s
The frequency of wave can b calculated as :
ν = 1/T = 1/(2.0 x 10^(-10) s) = 5.0 x 10^9 Hz
Using the equation c = λν, we can calculate the wavelength of the wave as:
λ = c/ν = 3.0 x 10^8 m/s / 5.0 x 10^9 Hz = 0.06 m
The wavenumber can be calculated as follows:
k = 1/λ = 1 / 0.06 m = 16.7 m^(-1)
Therefore, the wavelength of the wave is 0.06 m, the frequency is 5.0 x 10^9 Hz, and the wavenumber is 16.7 m^(-1).
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