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複選題20.Select the correct electron configurations and quantum numbers considering LS coupling for various atoms. (A)Ca: 1s²2s²2p⁶3s²3p⁶4s²3d¹; 3d¹: n=3, ℓ=2, mℓ=0,±1,±2 (B)Cu: 1s²2s²2p⁶3s²3p⁶4s²3d⁹; 3d⁹: n=3, ℓ=2, mℓ=0,±1,±2 (C)Cr: 1s²2s²2p⁶3s²3p⁶4s¹3d⁵; 3d⁵: n=3, ℓ=2, mℓ=0,±1,±2, ms=±1/2 (D)Ca: 1s²2s²2p⁶3s²3p⁶4s²3d⁵; 3d⁵: n=3, ℓ=2, mℓ=0,±1,±2, ms=±1/2 (E)K: 1s²2s²2p⁶3s²3p⁶4s¹; 4s¹: n=4, ℓ=0, mℓ=0, ms=±1/2, mj=±1/2

複選題19.Which of the following statements are correct? (A)All motion is relative and the speed of light in free space is the same for all observers. (B)Although they lack rest mass, photons behave as though they have gravitational mass. (C)The de Broglie wave group associated with a moving body travels with the same velocity as the body. (D)The energies of electrons liberated by light depend on the frequency of the light. (E)Only the quantum theory of light can explain the origin of blackbody radiation.

複選題18.For electron in quantum well with infinite barriers at x=0 and x=2L. Which are correct? (A)Ψ(x)=√(2/L)sin(nπx/L), <x³>-<x>³=L³/8 (B)Ψ(x)=√(1/L)sin(nπx/(2L)), <x³>-<x><x²>=2L³/3×(1-6/(nπ)²) (C)Ψ(x)=√(2/L)sin(nπx/L), <x³>-<x><x²>=L³/12×(1-6/(nπ)²) (D)Ψ(x)=√(2/L)sin(nπx/L), <px³>-<x³p>=ℏ/i×L²×(1-3/(2(nπ)²)) (E)Ψ(x)=√(1/L)sin(nπx/(2L)), <px³>-<x³p>=ℏ/i×4L²×(1-3/(2(nπ)²))

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