A) \[2{{B}_{0}}{{L}^{2}}Wb\]
B) \[2{{B}_{0}}{{L}^{2}}Wb\]
C) \[4{{B}_{0}}{{L}^{2}}Wb\]
D) \[\sqrt{29}{{B}_{0}}{{L}^{2}}Wb\]
Correct Answer: C
Solution :
(c) \[4{{B}_{0}}{{L}^{2}}Wb\] Here, \[\overrightarrow{B}={{B}_{0}}(2\widehat{i}+3\widehat{j}+4\widehat{k})T\] Area of the square \[={{L}^{2}}\widehat{k}\,{{m}^{2}}\] \[\therefore \] Flux passing through the square. \[\phi =\overrightarrow{B}\cdot \overrightarrow{A}={{B}_{0}}(2\widehat{i}+3\widehat{j}+4\widehat{k})\cdot {{L}^{2}}\widehat{k}=4{{B}_{0}}{{L}^{2}}Wb\]
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