(a) Find the maximum values of velocity and if the non-relativistic approximation for energy, E...
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(a) Find the maximum values of velocity υ and γ if the non-relativistic approximation for energy, E ≈ mc2 + p2/2m, is to be used with an error less than εp2/2m. Hence show that for an error of 1%, the momentum satisfies p ≈ 0.2mc.
(b) Find the minimum values of velocity υ and γ if the relativistic approximation for energy, E ≈ pc, is to be used with an error of less than εpc. Hence show that for an error of 1%, the momentum satisfies p ≈ 7mc.
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