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The number of waves that moves a fixed point in unit time is known as frequency.

$f=\frac{1}{T}$

Where,T =Time period in s.

The frequency, wavelength, and speed of light of any wave are related by the wavelength-frequency relationship.

The wavelength-frequency relationship is:

$c=位f$

Where, c is the speed of light which is equal to $3脳{10}^8\mathrm{m}/\mathrm{s}$,$位$ is the wavelength andf is the frequency.

The wavelength is inversely proportional to the frequency.

$位=\frac{c}{f}$or $\frac{v}{f}$

Where, v is velocity of wave in m/s.

The relation between wave number and wavelength is:

$k=\frac{2\mathrm{蟺}}{位}$

Where, k is wavenumber in rad/m.

Given that,

$\mathrm{位}=0.10脳{10}^{-9}\mathrm{m}$

The wavelength-frequency relationship is:

$$\begin{gathered} c=位f \\ 鈬�f=\frac{c}{位} \end{gathered}$$

Substitute the values of variables

$$\begin{gathered} \mathrm{f}=\frac{\mathrm{c}}{\mathrm{位}} \\ =\frac{3脳{10}^8}{0.10脳{10}^9} \\ =3脳{10}^{18}\mathrm{Hz} \end{gathered}$$

Hence, the frequency of waves is $3脳{10}^{18}\mathrm{Hz}$.

The frequency of wave is:

$$\begin{gathered} f=\frac{1}{T} \\ 鈬�T=\frac{1}{f} \end{gathered}$$

Substitute the values of variables

$$\begin{gathered} T=\frac{1}{f} \\ =\frac{1}{3脳{10}^{19}} \\ =3.3脳{10}^{-19}sec \end{gathered}$$

Hence the time period is equal to $3.3脳{10}^{-19}\sec$.

The relation between wave number and wavelength is:

$k=\frac{2\mathrm{蟺}}{位}$

Substitute the values of variables

$$\begin{gathered} \mathrm{k}=\frac{2\mathrm{蟺}}{0.10脳{10}^{-9}} \\ =6.3脳{10}^{10}\mathrm{rad}/\mathrm{m} \end{gathered}$$

Hence, the wave number is equal to $6.3脳{10}^{10}\mathrm{rad}/\mathrm{m}$.