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