A) \[\frac{1}{2}\]
B) \[\frac{2}{\sqrt{3}}\]
C) \[\frac{\sqrt{3}}{2}\]
D) \[\frac{1}{1}\]
Correct Answer: C
Solution :
Flux coming out of the cube \[{{\phi }_{1}}=\frac{\lambda \cdot a\sqrt{3}}{{{\varepsilon }_{0}}}\] (i) and from sphere \[{{\phi }_{2}}=\frac{\lambda \cdot 2\,a}{{{\varepsilon }_{0}}}\] (ii) \[\therefore \,\,\,\,\,\frac{{{\phi }_{1}}}{{{\phi }_{2}}}=\frac{\sqrt{3}}{2}\]
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