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The standing EM wave

The EM waves can form standing waves when EM waves are reflected from the end of a transmission line.

The wavelength of standing wave produced due to two nodal planes

The wavelength of standing wave is produced due to two nodal planes is given by

$x=\frac{位}{2}$

Where, x is the distance between two nodal planes and $位$is the wavelength of wave.

The speed of propagating wave

The speed of propagating wave is given by

$\mathrm{v}=\mathrm{蹿位}$

Where, v is the speed of propagation of wave and f is the frequency of wave.

Given: $\mathrm{x}=4.65\mathrm{mm}$,$\mathrm{f}=2.20脳{10}^{10}\mathrm{Hz}$

Using

$x=\frac{位}{2}$

Put the value of x in above equation

$$\begin{gathered} 4.65\mathrm{mm}=\frac{\mathrm{位}}{2} \\ \mathrm{位}=2(4.65) \\ \mathrm{位}=9.3\mathrm{mm} \end{gathered}$$

Thus, the value of wavelength of wave is $\mathrm{位}=9.3\mathrm{mm}$

Using

$v=f位$

Now put the value of constants in above equation

$$\begin{gathered} \mathrm{v}=\mathrm{蹿位} \\ \mathrm{v}=2.20脳{10}^{10}\mathrm{Hz}脳9.3脳{10}^{-3}\mathrm{m} \\ \mathrm{v}=2.05脳{10}^8\mathrm{m}/\mathrm{s} \end{gathered}$$

Thus, the speed of propagation of the wave is $\mathrm{v}=2.05脳{10}^8\mathrm{m}/\mathrm{s}$.