1.

If \({\rm{\vec F}} = {\rm{x\;\vec i}} + {\rm{y\;\vec j}} + {\rm{z\;\vec k}}\) and s is the closed surface of x2 + y2 + z2 = a2. Then \(\mathop \int\!\!\!\int \nolimits_{\rm{s}}^{} {\rm{\vec F}} \cdot {\rm{\hat n\;ds}}\) is

A. \(\frac{4}{3}{\rm{\pi }}{{\rm{a}}^3}\)
B. πa3
C. 4πa3
D. \(\frac{1}{3}{\rm{\pi }}{{\rm{a}}^3}\)
Answer» D. \(\frac{1}{3}{\rm{\pi }}{{\rm{a}}^3}\)


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