A) \[8\times {{10}^{6}}\,m/s\]
B) \[8\times {{10}^{5}}\,m/s\]
C) \[5.9\times {{10}^{6}}\,m/s\]
D) \[5.9\times {{10}^{5}}\,m/s\]
Correct Answer: A
Solution :
\[\frac{1}{2}m{{v}^{2}}=QV\Rightarrow v=\sqrt{\frac{2QV}{m}}=\sqrt{2\left( \frac{e}{m} \right)V}\] \[\Rightarrow v=\sqrt{2\times 1.6\times {{10}^{11}}\times 200}=8\times {{10}^{6}}m/s\].
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