Several α -particles of different speeds enter a uniform magnetic field confined into a cylindrical region. If all the α -particles enter the field radially and perpendicular to the axis of the cylind

Question

Several α -particles of different speeds enter a uniform magnetic field confined into a cylindrical region. If all the α -particles enter the field radially and perpendicular to the axis of the cylindrical region, what can you say about the time intervals that these particles spend in the magnetic field ?

TestHub · Accepted Answer

ω = m qB ​ At t = 0 + F mag ​ = q [ v i ^ × B k ^ ] = Bqv ( − j ^ ​ ) R ′ = qB mv ​ ⇒ tan θ = R R ′ ​ = qBR mv ​ ⇒ t = ω 2 θ ​ = qB 2 m ​ tan − 1 ( qBR mv ​ ) Greater the value of v more the time

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JEE Advanced 2027 (Class 12)