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What is the measured component of the orbital magnetic dipole moment of an electron with the values (a) ml=3 and (b)ml=4?

Short Answer

Expert verified

(a) The component of the orbital magnetic dipole moment of an electron with the values ml=3will be role="math" localid="1663006758598" 2.781023JT.

(b) Measured component of the orbital magnetic dipole moment of an electron with the values ml=4will be role="math" localid="1663006815783" 3.711023JT.

Step by step solution

01

Listing the given quantities:

The orbital magnetic dipole is ml=3.

The orbital magnetic dipole is ml=4.

02

Understanding the concepts of magnetic dipole moment:

You have the formula for orbital magnetic dipole moment. From the given data, you can get the required value.

Formula:

The orbital magnetic dipole moment equation is,

orb=mlB

Here, Bis the magnetic moment having a value of 9.271024JT.

03

(a) Calculations of the orbital magnetic dipole moment:

First take the orbital magnetic dipole as,

ml=3

So, the orbital magnetic dipole moment will be,

orb=mlB=3(9.271024JT=2.7810-23JT

Hence, the component of the orbital magnetic dipole moment of an electron with the values ml=3 will be 2.781023JT.

04

(b) Calculations of the orbital magnetic dipole moment at ml=-4:

Take ml=4.

Thus, the orbital magnetic dipole moment is,

orb=mlB=(4)9.271024JT=3.7110-23JT

Hence, the component of the orbital magnetic dipole moment of an electron with the values ml=4will be 3.7110-23JT.

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