A) \[7.6\,\times {{10}^{-43}}\,k{{g}^{-}}{{m}^{2}}\]
B) \[7.6\,\times {{10}^{-47}}\,k{{g}^{-}}{{m}^{2}}\]
C) \[6.7\,\times {{10}^{-47}}\,k{{g}^{-}}{{m}^{2}}\]
D) \[13.6\,\times {{10}^{-47}}\,k{{g}^{-}}{{m}^{2}}\]
Correct Answer: D
Solution :
Moment of inertia \[I=\frac{1}{2}m{{r}^{2}}\] \[\begin{align} & =\frac{1}{2}\times 1.7\times {{10}^{-27}}\times 16\times {{10}^{20}} \\ & =13.6\times {{10}^{-47}}\,\text{kg}\text{.}{{\text{m}}^{\text{2}}}^{.} \\ \end{align}\]
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