An electron gun is placed inside a long solenoid of radius $R$ on its axis. The solenoid has $n$ turns per unit length and carries a current $I$. The electron gun shoots an electron along the radius of the solenoid with speed $v$. If the electron does not hit the surface of the solenoid,the maximum possible value of $v$ is (all symbols have their standard meaning):
- A$\frac{e \mu_{0} nIR}{m}$
- B$\frac{e \mu_{0} nIR}{2 m}$
- C$\frac{2 e \mu_{0} nIR}{m}$
- D$\frac{e \mu_{0} nIR}{4 m}$
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