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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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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