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Questions  

A proton of mass m and charge +e is moving in a circular orbit in a magnetic field with energy 1 Me V. What should be the energy of αparticle (mass = 4m and charge = + 2e), so that it can revolve in the path of same radius?

a
1 MeV
b
4 MeV
c
2 MeV
d
0.5 MeV

detailed solution

Correct option is A

r=2mKqB  ⇒K ∝  q2m ⇒  KpKα  = qpqα2 × mαmp  ⇒  1Kα  =  qp2qp2 × 4mpmp  = 1   ⇒Kα =1  MeV

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