In a cyclotron, if a deuteron can gain an energy of 40 M e V , then a proton can gain an energy of

Question

In a cyclotron, if a deuteron can gain an energy of 40 M e V , then a proton can gain an energy of, 40 M e V, 60 MeV, 20 M e V, 80 M e V

MARKS App · Accepted Answer

Radius of the path R = 2 m K q B ∵ R d = R p ∴ 2 m d K d q d B = 2 m p K p q p B or 2 ( 2 m p ) K d e B = 2 m p K p e B ∴ K p = 2 K d = 2 × 40 MeV ⁡ = 80 M e V

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