The oscillating electric field of an electromagnetic wave is given by $E_{Y} = 30 \sin [2 \times 10^{11} t + 300 πx] {Vm}^{- 1}$ . Then, the value of wavelength of the electromagnetic wave is

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$\frac{1}{250} m$

$\frac{1}{100} m$

$\frac{1}{150} m$

$\frac{1}{50} m$

answer is A.

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Detailed Solution

Given equation is $E_{Y} = 30 \sin [2 \times 10^{11} t + 300 πx] {Vm}^{- 1}$
Comparing the given equation with the equation of $E_{Y} = E_{0} \sin [\frac{2 πt}{T} + \frac{2 πx}{λ}]$ ,

we get:
$\begin{array}{rcl} \frac{2 π}{λ} & = & 300 π \\ \Rightarrow & \frac{1}{λ} = 150 \\ \Rightarrow & λ = \frac{1}{150} m \end{array}$

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