A) \[d>\frac{m}{Bq}({{v}_{1}}+{{v}_{2}})\]
B) \[d<\frac{m}{Bq}({{v}_{1}}+{{v}_{2}})\]
C) \[d>\frac{2m}{Bq}({{v}_{1}}+{{v}_{2}})\]
D) \[{{v}_{1}}={{v}_{2}}\]
Correct Answer: C
Solution :
[c] The particle will not collide if \[d>2({{r}_{1}}+{{r}_{2}})\] or \[d>2\left( \frac{m{{v}_{1}}}{Bq}+\frac{m{{v}_{2}}}{Bq} \right)\] or \[d>\frac{2m}{Bq}({{v}_{1}}+{{v}_{2}})\]
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