   Chapter 30, Problem 43PE

Chapter
Section
Textbook Problem

What angles can the spin S of an electron make with the Z-axis?

To determine

The angles which can the spin S of the electron make with the zaxis.

Explanation

Given Data:

Given that spin S of the electron make with the z-axis

Formula Used:

The spin projection referring to spin up is given as

ms=+12

The spin projection referring to spin down is given as

ms=12

Hence, spin projection is given as

ms=±12

The angle spin S of the electron make with the zaxis is given as

cosθ=SZS

Where SZ= z component of spin angular momentum =ms(h2π)

And

S= Intrinsic spin angular momentum

S=s(s+1)(h2π)

Calculation:

Given spin S of the electron make with the zaxis.

We know that The angle spin S of the electron make with the zaxis is given as

cosθ=SZS

Now SZ=ms(h2π)

Substituting ms=±12

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