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