A) \[\frac{Be}{{{a}^{2}}}\]
B) \[e{{B}^{2}}a\]
C) \[{{a}^{2}}eB\]
D) \[aeB\]
Correct Answer: C
Solution :
Under uniform magnetic field, force\[evB\]acts on proton and provides the necessary centripetal force \[\frac{m{{v}^{2}}}{a}\] \[\frac{m{{v}^{2}}}{a}=evB\] \[v=\frac{aeB}{m}\] Now, angular momentum \[J=r\times p\] \[=a\times mv\] \[J=a\times m\left( \frac{aeB}{m} \right)\] \[J={{a}^{2}}eB\]You need to login to perform this action.
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