| An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current l. 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, maxium possible value of v is (all symboils have their standard meaning) |
| [JEE MAIN Held on 09-01-2020 Evening] |
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A) \[\frac{2e{{\mu }_{0}}nIR}{m}\]
B) \[\frac{e{{\mu }_{0}}nIR}{m}\]
C) \[\frac{e{{\mu }_{0}}nIR}{2m}\]
D) \[\frac{e{{\mu }_{0}}nIR}{4m}\]
Correct Answer: C
Solution :
| [c] \[B={{\mu }_{0}}ni\] |
| \[\frac{m{{V}_{\max }}}{qB}=\frac{R}{2}\] |
| \[{{V}_{\max }}=\frac{qBR}{2m}\] |
| \[=\frac{qR{{\mu }_{0}}ni}{2m}\] |
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