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a beam of protons and alpha particles are sucessively accelerated in a cyclotron. the ratio of the normal magnetic filed to be applied to the cyclotron so that protons and alpha particles have the same period rotation is :

a beam of protons and alpha particles are sucessively accelerated in a cyclotron. the ratio of the normal magnetic filed to be applied to the cyclotron so that protons and alpha particles have the same period rotation is :

Grade:11

1 Answers

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14 Points
5 years ago
Mass of proton = m
charge = q
for alpha particles; mass = 4, charge = 2q
cyclotron frequency = V = Bq/ 2λm
or V is directly proportional q/m
the frequency of proton = Vp α q/m
alpha particle frequency = Va α q/ 2m
so the particle will not accelerate with same frequency
Vp = 2Va

 

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