B repeat part a for a particle of mass 5 x 10 28 kg

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Unformatted text preview: 10 4 2.13 (a) The uncertainty in position is 1.2 nm for a particle of mass 9 x 10- 31 kg. The nominal energy of the particle is 16 eV. Determine the minimum uncertainty in (i) momentum and (ii) kinetic energy of the particle. (b) Repeat part (a) for a particle of mass 5 x 10- 28 kg. (a)(i) The minimum uncertainty in momentum is given by 1.05459 × 10 −34 Δp = = = 4.39 × 10 −26 kg ⋅ m / s . −9 2 Δx 2 ⋅ 1.2 × 10 (ii) The uncertainty in kinetic energy is related to the uncertainty in momentum via p Δp 2E ΔE = Δp = 2 E = Δp m p m 2 ⋅ 16 ⋅ 1.6 × 10 −19 = 4.39 × 10 −26 = 1.042 × 10 −19 J = 0.65 eV 9.1 ⋅ 10 −31 (b)(i) The uncertainty in momentum is unchanged. (ii) The uncertainty in e...
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