A) \[20\times {{10}^{5}}\]
B) \[20\times {{10}^{5}}\]
C) \[6\times {{10}^{5}}\]
D) \[2\times {{10}^{5}}\]
Correct Answer: C
Solution :
(c) \[6\times {{10}^{5}}\] According to Gauss's theorem, Electric flux through the sphere\[=\frac{q}{{{\varepsilon }_{0}}}\] \[\therefore \]Electric flux through the hemisphere \[=\frac{1}{2}\frac{q}{{{\varepsilon }_{0}}}\] \[=\frac{10\times {{10}^{-6}}}{2\times 8.854\times {{10}^{-12}}}\] \[=0.56\times {{10}^{6}}\,N{{m}^{2}}{{C}^{-1}}\] \[=0.6\times {{10}^{6}}N{{m}^{2}}{{C}^{-1}}=6\times {{10}^{5}}N{{m}^{2}}{{C}^{-1}}\]
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