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A proton of energy 8 e V is moving in a circular path in a uniform magnetic field. The energy of an alpha particle moving in the same magnetic field and along the same path will be

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a
4 eV
b
2 eV
c
8 eV
d
6 eV

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detailed solution

Correct option is C

r=2mKqB  ⇒q ∝  mK ⇒  K  ∝  q2m⇒KαKp  = qαqp2 × mpmα ⇒ Kα8  = 2qpqp2 × mp4mp=1⇒  Kα =  8 eV


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