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Homework2

Homework2 - MSE 110 Problem Set 2 Problem 1 An electron of...

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MSE 110 Problem Set 2, Problem 1 An electron of wavelength λ = 0.333 nm forms a standing wave on an orbit of radius r = 0.159. What is the level n of that orbit? (8pts) [Answer in integer] Ans: From n λ = 2 π r we obtain 3 333 . 0 159 . 0 2 2 = × × = = π λ π r n The electron is orbiting on the level of quantum number n=3. Problem 2 Some kids are playing jump rope with a rope of length L = 6 meter and shake it hardly enough to induce a standing wave of quantum number n=4. What is the wavelength of the induced standing wave? (8pts) [Answer in meter] Ans: 4 half-wavelength will fit along the rope to form the standing wave. Hence, m n L 3 4 6 2 2 = × = = λ Problem 3 A guitar string of length 1 meter is banged hardly enough to induce a standing wave of quantum number n=12. What is the wavelength of the induced wave? (5pts) [Answer in meter] Ans: 12 half-wavelength will fit along the guitar string to form the standing wave. Hence, m n L 166 . 0 12 1 2 2 = × = = λ 1

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Problem 4 Which of the following orbital has a spherical geometry. (6pts) [answer A, B, C, D] A: 2d B: 3s
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Homework2 - MSE 110 Problem Set 2 Problem 1 An electron of...

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