કોલમ$- I$માં આપેલ ધાતુ આયનોને કોલમ$-II$ માં આપેલ ધાતુ આયનોની સ્પીન ચુંબકીય ચાકમાત્રાઓ સાથે જોડી સાચો કોડ નક્કી કરો.

કૉલમ$-I$ કૉલમ$-II$

$(a)\;Co^{+3}$ $(i)\;\sqrt{8}\; B.M.$

$(b)\;Cr^{+3}$ $(ii)\;\sqrt{35}\; B.M.$

$(c)\;Fe^{+3}$ $(iii)\;\sqrt{3}\; B.M.$

$(d)\;Ni^{+2}$ $(iv)\;\sqrt{24}\; B.M.$

$(v)\;\sqrt{15}\; B.M.$

$(a)\quad (b)\quad (c)\quad (d)$

Question

કોલમ$- I$માં આપેલ ધાતુ આયનોને કોલમ$-II$ માં આપેલ ધાતુ આયનોની સ્પીન ચુંબકીય ચાકમાત્રાઓ સાથે જોડી સાચો કોડ નક્કી કરો.

કૉલમ$-I$	કૉલમ$-II$
$(a)\;Co^{+3}$	$(i)\;\sqrt{8}\; B.M.$
$(b)\;Cr^{+3}$	$(ii)\;\sqrt{35}\; B.M.$
$(c)\;Fe^{+3}$	$(iii)\;\sqrt{3}\; B.M.$
$(d)\;Ni^{+2}$	$(iv)\;\sqrt{24}\; B.M.$
	$(v)\;\sqrt{15}\; B.M.$

$(a)\quad (b)\quad (c)\quad (d)$

A$(iv)\quad ( v)\quad ( ii )\quad (i)$
B$(i)\quad ( ii)\quad ( iii )\quad (iv)$
C$(iv)\quad (i)\quad ( ii)\quad ( iii)$
D$(iii)\quad (v)\quad (i)\quad (ii)$

NEET 2018, Medium

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Solution

a
Magnetic moment $(\mu)=\sqrt{n(n+2)}$ B.M.

$\mathrm{Co}^{3+} \rightarrow 1 \mathrm{s}^{2} 2 \mathrm{s}^{2} 2 \mathrm{p}^{6} 3 \mathrm{s}^{2} 3 \mathrm{p}^{6} 4 \mathrm{s}^{0} 3 \mathrm{d}^{6}$

$n=4$

$\mu=\sqrt{4(4+2)}=\sqrt{24} \mathrm{B} \cdot \mathrm{M}$

$\mathrm{Cr}^{+3} \rightarrow 1 \mathrm{s}^{2} 2 \mathrm{s}^{2} 2 \mathrm{p}^{6} 3 \mathrm{s}^{2} 3 \mathrm{p}^{6} 4 \mathrm{s}^{0} 3 \mathrm{d}^{3}$

$n=3$

$\mu=\sqrt{3(3+2)}=\sqrt{15} \mathrm{B} \cdot \mathrm{M}$

$\mathrm{Fe}^{3+} \rightarrow 1 \mathrm{s}^{2} 2 \mathrm{s}^{2} 2 \mathrm{p}^{6} 3 \mathrm{s}^{2} 3 \mathrm{p}^{6} 4 \mathrm{s}^{0} 3 \mathrm{d}^{5}$

$n=5$

$\mu=\sqrt{5(5+2)}=\sqrt{35} \mathrm{B} . \mathrm{M}$

$\mathrm{N}_{1}^{+2} \rightarrow 1 \mathrm{s}^{2} 2 \mathrm{s}^{2} 2 \mathrm{p}^{6} 3 \mathrm{s}^{2} 3 \mathrm{p}^{6} 4 \mathrm{s}^{0} 3 \mathrm{d}^{8}$

$n=2$

$\mu=\sqrt{2(2+2)}=\sqrt{8} \mathrm{B} \cdot \mathrm{M}$

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