A) \[\sigma \]
B) \[\sigma \,/2\]
C) \[\sigma \,/2{{\varepsilon }_{0}}\]
D) \[Q/{{\varepsilon }_{0}}\]
Correct Answer: D
Solution :
[d] According to Gauss's theorem, \[E\oint{ds=\frac{q}{{{\in }_{0}}}\left[ \text{Here}\oint{ds}=4\pi {{R}^{2}} \right]}\] \[\therefore E=\frac{q/4\pi {{R}^{2}}}{{{\in }_{0}}}\left[ \therefore q/4\pi {{R}^{2}}=\sigma \right]\] or \[E=\sigma /{{\in }_{0}}\]
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