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

a. What is the magnitude (as a multiple ofrole="math" localid="1650369219275" ÓË„ ) of the spin angular momentum Sfor 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 41.13 to show the possible orientations ofS→.

Short Answer

Expert verified

(a) The magnitude of the spin angular momentum Sfor a particle with a spin of one is S=1.48×10-34Js.

(b) The possible values of the spin quantum number arems=-1,0,or1.

(c) Diagram of three possible orientation of S→.

Step by step solution

01

Part (a) Step 1 : Given Information

We have given that,

Particles spins are said to be one and spin of subatomic particles is characterized by s=1.We have to find the magnitude of angular momentum Sfor the particle with the spin of one.

02

Part (a) Step 2 : Simplification

We know that for s=1

localid="1650369236269" S=ss+1ÓË„=2ÓË„( Sis spin angular momentum )

⇒S=1.48×10-34Js.

03

Part (b) Step 1 : Given Information

We have given that,

Particles spins are said to be one and spin of subatomic particles is characterized by s=1,We have to find the possible values of spin quantum number.

04

Part (b) Step 2 : Simplification

The spin quantum number is msms=-1,0or1.

05

Part (c) Step 1 : Given Information.

We have given that,

Particles spins are said to be one and spin of subatomic particles is characterized by s=1.We have to draw a vector diagram to show possible orientation of S.→

06

Part (c) Step 2 : Simplification

The figure below shows the three possible orientations ofS.→

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