JEE MainPhysicsModerateMagnetic effect of current

An electron gun is placed inside a long solenoid of radius R on
its axis. The solenoid has n turns/lengthand carries a current I. The
electron gun shoots an electron along the radius of the solenoid with
speedv. If the electron does not hit the surface of the solenoid,
maximum possible value of v is (all symbolshave their standard meaning)

Show answer and solution

R_{\max} = \frac{R}{2} = \frac{{mv}_{\max}}{e\mu_{0}in}

V_{\max} = \frac{{Re}{\mu_{0}in}}{2m}

Source: Grass-G / P-13 Physics paper 4 Nov.docx

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.