A) \[1.925\times {{10}^{-8}}cm\]
B) \[1.925\times {{10}^{-9}}cm\]
C) \[1.925\times {{10}^{-10}}cm\]
D) \[1.925\times {{10}^{-11}}cm\]
Correct Answer: A
Solution :
Mass of one molecule \[=\frac{18}{6.02\times {{10}^{23}}}g\] Volume of one molecule \[=\frac{18g}{6.02\times {{10}^{23}}\times 1}\] \[=3.0\times {{10}^{-23}}\] \[\frac{4}{3}\pi {{r}^{3}}=3.0\times {{10}^{-23}}\] \[{{r}^{3}}=\frac{3\times 3.0\times {{10}^{-23}}\times 7}{4\times 22}\] \[r=1.925\times {{10}^{-8}}cm\]
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