A) \[18.9\times {{10}^{-8}}\hat{k}\text{T}\]
B) \[6.3\times {{10}^{-8}}\hat{k}\text{T}\]
C) \[2.1\times {{10}^{-8}}\hat{k}\text{T}\]
D) \[18.7\times {{10}^{8}}\hat{k}\text{T}\]
Correct Answer: C
Solution :
| \[\left| \text{B} \right|=\frac{\left| \text{E} \right|}{\text{C}}\] |
| \[=\,\frac{6.3}{3\times {{10}^{8}}}=\,2.1\times {{10}^{-8}}\text{T}\] |
| and \[\text{\hat{E}}\times \text{\hat{B}}\,\text{=}\,\text{\hat{C}}\] |
| \[\hat{j}\times \hat{B}=\hat{i}\] |
| \[\text{\hat{B}}\,\text{=}\,\hat{k}.\] |
| \[\text{\vec{B}}\,\text{=}\,\left| \text{B} \right|\text{\hat{B}=2}\text{.1}\times \text{10}{{\,}^{\text{-}\,\text{8}}}\text{\hat{K}T}\] |
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