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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as217

Count exchanges as the number of pairs of electrons with the same spin within the $d$ subshell in its maximum-multiplicity arrangement. Which statements are correct?

A $d^{5}$ has 10 exchanges.
B $d^{6}$ has 15 exchanges.
C $d^{4}$ has 6 exchanges.
D $d^{10}$ has 20 exchanges.

Answer: A, C, D

Same-spin pairs:

d^{5}

:

(2 5) = 10

(true).

d^{6}

: five up and one down give

10 + 0 = 10

, not 15 (false).

d^{4}

:

(2 4) = 6

(true).

d^{10}

: five up and five down give

10 + 10 = 20

(true).

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