A) 50\[\mu s\]
B) 25 \[\mu s\]
C) 10 \[\mu s\]
D) 5\[\mu s\]
Correct Answer: C
Solution :
Time period of proton\[{{T}_{p}}=\frac{25}{5}=5\mu s\] By using\[T=\frac{2\pi m}{qB}\] \[\Rightarrow \] \[\frac{{{T}_{a}}}{{{T}_{p}}}=\frac{{{m}_{\alpha }}}{{{m}_{p}}}\times \frac{{{q}_{p}}}{{{q}_{\alpha }}}=\frac{4{{m}_{p}}}{{{m}_{p}}}\times \frac{{{q}_{p}}}{2{{q}_{p}}}=2\] \[\Rightarrow \] \[{{T}_{\alpha }}=2{{T}_{p}}=10\mu s\]
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