A) \[9.6\times {{10}^{7}}C\,k{{g}^{-1}}\]
B) \[19.2\times {{10}^{7}}C\text{ }k{{g}^{-1}}\]
C) \[4.8\times {{10}^{7}}C\text{ }k{{g}^{-1}}\]
D) \[2.4\times {{10}^{7}}C\text{ }k{{g}^{-1}}\]
Correct Answer: C
Solution :
Specific charge on proton\[={{\left( \frac{e}{m} \right)}_{p}}\] \[=9.6\times {{10}^{7}}C\,k{{g}^{-1}}\]specific charge on\[\alpha \text{-}\]particle, \[{{\left( \frac{q}{m} \right)}_{\alpha }}=\frac{2e}{4m}=\frac{1}{2}{{\left( \frac{e}{m} \right)}_{p}}=\frac{1}{2}\times 9.6\times {{10}^{7}}\] \[=4.8\times {{10}^{7}}C\,k{{g}^{-1}}\]
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