Hydrogen Atom Hw10

# Hydrogen Atom Hw10 - MasteringPhysics Assignment Print View...

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[ Print View ] Physics 228 Spring 2008 Hydrogen Atom Due at 11:59pm on Monday, April 7, 2008 View Grading Details Rules for Orbital Angular Momentum Learning Goal: To understand and be able to use the rules for determining allowable orbital angular momentum states. Several numbers are necessary to describe the states available to an electron in the hydrogen atom. The principal quantum number determines the energy of the electron. The orbital quantum number determines the total angular momentum of the electron, and the magnetic quantum number determines the component of the angular momentum parallel to a specific axis, usually the z axis. For a given principal quantum number , the orbital quantum number can take integer values ranging from zero to . For a given orbital quantum number , the magnetic quantum number can take integer values from to . A fourth number, the spin , is important for interactions with magnetic fields and counting states. The spin can be either or , independent of the values of the other quantum numbers. The energy of an electron in hydrogen is related to the principal quantum number by . The orbital angular momentum is related to the orbital quantum number by , and the orbital angular momentum in the z direction is related to the magnetic quantum number by . Part A How many different values of are possible for an electron with principal quantum number = 4? Express your answer as an integer. ANSWER: 4.00 Part B How many values of are possible for an electron with orbital quantum number = 3? Express your answer as an integer. ANSWER: 7.00 Part C Page 1 of 7 MasteringPhysics: Assignment Print View 5/8/2008 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1116521

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The quantum state of a particle can be specified by giving a complete set of quantum numbers . How many different quantum states are possible if the principal quantum number is = 4? To find the total number of allowed states, first write down the allowed orbital quantum numbers , and then write down the number of allowed values of for each orbital quantum number. Sum these quantities, and then multiply by 2 to account for the two possible orientations of spin. Express your answer as an integer. Part C.1
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