A) \[11\,\sin \,\pi \left( t-x/c \right)\]
B) \[33\,\sin \,\pi \times {{10}^{11}}\left( t-x/c \right)\]
C) \[33\,\sin \,\pi \left( t-x/c \right)\]
D) \[11\,\sin \,\pi \times {{10}^{11}}\left( t-x/c \right)\]
Correct Answer: B
Solution :
Angular frequency \[\omega =2\pi v=\frac{2\pi c}{\lambda }=\frac{2\pi \times 3\times {{10}^{8}}}{6\times {{10}^{-}}3}\] \[=\pi \times {{10}^{11}}\,rad{{s}^{-1}}\] The equation for the electric field, along Y-axis in the electromagnetic wave is \[{{E}_{y}}={{E}_{0}}\sin \omega \left( t-\frac{x}{c} \right)\] \[=33\sin \pi \times {{10}^{11}}(t-x/c)\]
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