? From the definition of V we construct the curl: Vxv= a/ax / ŷ Ĉ /a Ux Vy Vz = ✰ ( მა- avy aux მა. avy θυχ +ŷ +2 (1.41) ду Əz Əz дх Əx ду Problem 1.19 Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle, pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of avx/ay and avy/ax. According to Eq. 1.41, then, what is the direction of V x v? Explain how this example illustrates the geo- metrical interpretation of the curl.

Part A Which particle can have its velocity known most precisely? Match the words in the left column to the appropriate blanks in the sentences on the right. Reset Help smallest position uncertainty The particle with the most precisely known velocity has the This can be observed for and the greatest wave function amplitude. smallest position uncertainty and wave function amplitude. greatest position uncertainty. The wave function amplitude does not play a role. greatest position uncertainty and the smallest wave function amplitude. Figure (x) (x) particle 1. AAAAA particle 2. particle 3. Particle 1 Particle 2 (x) particles 2 and 3. particles 1 and 2. Particle 3 Submit Previous Answers Request Answer

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A rectangular corral of widths Lx = L and Ly = 2L contains seven electrons. What is the energy of (a) the first excited state, (b) the second excited state, and (c) the third excited state of the system? Assume that the electrons do not interact with one another, and do not neglect spin. State your answers in terms of the given variables, using hand me (electron mass) when needed.