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Find the degeneracy of the states .^(2)p,.^(3)D, and .^(4)F possesing the greatest possible values of the total angular momentum. |
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Answer» <P> Solution :The state with GREATEST possible total angular momentum areFor a `.^(2)P` state `J=(1)/(2)+1=(3)/(2)i.e.,.^(2)P_(3//2)` Its degeneracy is `4`. For a `.^(3)D` state `J=1+2=3 i.e.,^(2)P_(3//2)` Its degeneracy is `2xx3+1=7` For a `.^(4)F` state `J=(3)/(2)+3=(9)/(2)i.e., .^(4)F_(4/2)`. Its degeneracy is `2xx(9)/(2)+1=10`. |
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