$N _2 ; N _2{ }^{+} ; O _2, O _2{ }^{-}$આપેલ સ્પીસીઝો ની સૌથી વધુ ભરાયેલ આણવીય કક્ષક માં અયુગ્મિત ઇલેકટ્રોન(નો)ની સંખ્યા શું છે?

Question

JEE MAIN 2023, Medium

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Solution

a
$N _2$

$\sigma 1 s ^2 \sigma^* 1 s ^2 \sigma 2 s ^2 \sigma^* 2 s ^2 \pi 2 p _{ x }^2=\pi 2 p _y^2 \frac{\sigma 2 p _z^2}{\text { HOMO }}$

$N _2^{+}-\sigma 1 s ^2 \sigma^* 1 s ^2 \sigma^* 2 s ^2 \sigma^* 2 s ^2 \pi 2 p _{ x }^2=\pi 2 p _{ y }^2 \frac{\sigma 2 p _z^1}{\text { HOMO }}$

$O _2-\sigma 1 s ^2 \sigma^* 1 s ^2 \sigma 2 s ^2 \sigma^* 2 s ^2 \sigma 2 p _z^2$

$\pi 2 p _{ x }^2=\pi 2 p _{ y }^2$

$\pi^* 2 p _{ x }^1=\pi^* 2 p _{ y }^1( HOMO )$

$O _2^{+}-\sigma 1 s ^2 \sigma * 1 s ^2 \sigma 2 s ^2 \sigma * 2 s ^2 \sigma 2 p _z^2 \pi 2 p _{ x }^2=\pi 2 p _y^2$

$\pi^* 2 p _{ x }^1=\pi^* 2 p _{ y }^0( HOMO )$

$N _2 \Rightarrow 0 \text { unpaired } e ^{-} \text {in HOMO }$

$N _2^{+} \Rightarrow 1 \text { unpaired } e ^{-} \text {in HOMO }$

$O _2 \Rightarrow 2 \text { unpaired } e ^{-} \text {in HOMO }$

$O _2^{+} \Rightarrow 1 \text { unpaired } e ^{-} \text {in HOMO }$

આયન :	$J^+$	$L^+$	$M^{2+}$	$X^-$	$Y^-$	$Z^{2-}$
ત્રિજ્યા $(nm)$ :	$0.14$	$0.18$	$0.15$	$0.14$	$0.18$	$0.15$

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