A) \[8\times {{10}^{6}}\text{ }m\text{/}s\]
B) \[8\times {{10}^{5}}\text{ }m\text{/}s\]
C) \[5.9\times {{10}^{6}}\text{ }m\text{/}s\]
D) \[5.9\times {{10}^{5}}\text{ }m\text{/}s\]
Correct Answer: A
Solution :
\[\frac{1}{3}m{{v}^{2}}=eV\] \[{{v}^{2}}=\frac{2e}{m}V\] \[v=\sqrt{2\cdot \frac{e}{m}V}\] \[=\sqrt{2\times 1.6\times {{10}^{11}}\times 200}\] \[=20\times 4\times {{10}^{5}}=80\times {{10}^{5}}\] \[=8\times {{10}^{6}}m\text{/}s\]
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