In a non-relativistic cyclotron with equal energy gain at each gap crossing, how does the spacing rₙ₊₁-rₙ behave as n increases?
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In a non-relativistic cyclotron with equal energy gain at each gap crossing, how does the spacing rₙ₊₁−rₙ behave as n increases?

G1 Physics · Accepted Answer

rₙ=C√n, so rₙ₊₁−rₙ=C(√(n+1)−√n), which decreases with n.