There exist subatomic particles whose spin is characterized by s =1, rather than

Question

There exist subatomic particles whose spin is characterized by s=1, rather than the s=12 of electrons. These particles are said to have a spin of one.

A: What is the magnitude (as a multiple of ?) of the spin angular momentum S for a particle with a spin of one?

B: What are the possible values of the spin quantum number?

C: Draw a vector diagram similar to Figure 42.14 in the textbook to show the possible orientations of S?

There exist subatomic particles whose spin is characterized by s=1, rather than the s=1/2 of electrons. These particles are said to have a spin of one. What is the magnitude (as a multiple of h-) of the spin angular momentum S for a particle a spin of one? what are the possible values of the spin quantum number? Enter your answers in ascending order separated by commas. Draw a vector diagram similar to in the textbook to show the possible orientations of S rightarrow Draw the force vectors with their tails at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded.

Explanation / Answer

a) S = (sqrt[ s (s + 1)]) (hbar)

= (sqrt[ 1 (1 + 1)]) (hbar)

=(sqrt[2]) (hbar)

= (1.414) (hbar)

b) ms = 2(s) + 1

= 2(1) + 1

= 3 total possible spin quantums

Possible integer spin quantum numbers are -1, 0, 1

c) Sz = (ms)(hbar)

Possible spin quantum integer values = -1, 0, 1 from previous problem. Magnitudes of the associated angular momentums in z direction =

= -hbar, 0, hbar

Vector 0: Horizontal to the Left of origin,

Vector hbar: 45degrees above Vector 0

Vector -hbar: 45degrees below Vector 0

   

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