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PhysicsMediumMCQ2020 · 09 Jan Shift 2

Q13.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 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, maximum possible value of v is (all symbols have their standard meaning): (1) eμ0nIR (2) eμ0nIR m 2m (3) eμ0nIR (4) 2eμ0nIR 4m m

What This Question Tests

This question involves determining the maximum speed an electron can have to remain within a solenoid, by analyzing its circular motion under the influence of the solenoid's magnetic field.

Concepts Tested

Magnetic field of a solenoidLorentz forceCircular motion of charged particle

Formulas Used

B_solenoid = μ₀nI

F_Lorentz = q(v x B)

F_centripetal = mv²/r = qvB

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