Explanation:
Electromagnetic wave equation is given by
\(E = {E_0}\cos (kz - \omega t)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\)
Speed of electromagnetic wave, \(v=\dfrac{\omega}{k}\)
Given, equation is
\(E = \hat i40\cos \left( {kz - 6 \times {{10}^8}t} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)\)
Comparing Eqs. (1) and (2), we get
\(\omega=6 \times 10^{8} \text { and } E_{0}=40 \hat{i}\)
Here, wave factor, \(k = \frac{\omega }{v} = \frac{{6 \times {{10}^8}}}{{3 \times {{10}^8}}} = 2\;{m^{ - 1}}\)