A) \[8.8\times {{10}^{-12}}C\,k{{g}^{-1}}\]
B) \[8.8\times {{10}^{10}}C\,k{{g}^{-1}}\]
C) \[1.6\times {{10}^{-19}}C\,k{{g}^{-1}}\]
D) \[6.67\times {{10}^{11}}C\,k{{g}^{-1}}\]
Correct Answer: B
Solution :
(b) \[8.8\times {{10}^{10}}C\,k{{g}^{-1}}\] The gyromagnetic ratio is a constant. For any charged particle its value is given by \[\frac{{{\mu }_{l}}}{l}=\frac{e}{2m}\] For electron \[m={{m}_{e}}=9.1\times {{10}^{-31}}kg,\,e=1.6\times {{10}^{-19}}C,\] \[\therefore \frac{{{\mu }_{l}}}{l}=\frac{1.6\times {{10}^{-19}}}{2\times 9.1\times {{10}^{-31}}}=8.8\times {{10}^{10}}C\,k{{g}^{-1}}\].
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