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Unformatted text preview: outside.) The nucleus decays by α-decay. (c) The wave function is sinusoidal both inside and outside the nucleus. The α-particle is not bound to the nucleus. 10. (a) – ħ 2 /2m d 2 Ψ /dx 2 = E Ψ (b) Both are sinusoidal. (c) Only for No. 7 is Ψ zero at x = 0 and at x = L. 11. E = ħ 2 π 2 /2mL 2 = p 2 /2m or p = ħπ /L. pL = πħ . Δ p Δ x = πħ . 12. L: orbital angular momentum, S: spin angular momentum, ℓ : orbital quantum number, L = ħ√ℓ ( ℓ + 1) s: spin quantum number, S = ħ√ s(s + 1) 13. The wave functions are different, and therefore also the electron probability distributions. 14. Z = 3, n = 1, ℓ = 0, m ℓ = 0, m s = ½, - ½; n = 2, ℓ = 0, m ℓ = 0, m s = ½, or - ½. 15. (a) The state for n = 4, ℓ = 0 is lower than that for n = 3, ℓ = 2. (b) n = 3, ℓ = 2. (These levels are filled after those with n = 4, ℓ = 0....
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This note was uploaded on 10/04/2009 for the course PHYSICS 750:204 taught by Professor Croft during the Summer '08 term at Rutgers.
- Summer '08