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Chapter 32: Q75P (page 971)

Suppose that 4 are the limits to the values of an electron in an atom. (a) How many different values of the electrons μorb,zare possible? (b) What is the greatest magnitude of those possible values? Next, if the atom is in a magnetic field of magnitude 0.250T, in the positive direction of the z-axis, what are (c) the maximum energy and (d) the minimum energy associated with those possible values ofμorb,z ?

Short Answer

Expert verified
  1. Different possible values of the electrons μorb,z are ml=−4,−3,−2,−1,0,+1,+2,+3,+4.

Step by step solution

01

Listing the given quantities: 

  • The limits to the values of ml for the electron in an atom is ml=±4.
02

Understanding the concepts of magnetic dipole moment and energy:

In atomic physics, the electron magnetic moment, or more precisely the electron magnetic dipole moment, is the magnetic moment of an electron resulting from its intrinsic properties of spin and electric charge.

03

(a) Calculations of different possible values of the electron’s  μorb,z: 

The possible values of the electron’s μorb,z in an atom is,

ml=−4,−3,−2,−1,0,+1,+2,+3,+4

Hence, there are nine different possible values of the electron’s μorb,z.

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