BeC will will not form a pair because no free element is available with Be.
The elements given in the above question is as follow,
Now consider the ground state of given element we get,
[tex]Li=1s^2,2S^1\\Be=1s^2,2S^2\\B=1s^2,2S^2,2p^1\\C=1s^2,2S^2,2p^2\\N=1s^2,2S^2,2p^3[/tex]
Now, for balance bond theory,
Consider,
a) LiC
[tex]Li=1S^2,2S^1\\C=1S^2,2S^2,2P^2[/tex]
It will form a bond because unpaired electrons are present.
b)Bec
[tex]Be=1s^2,2S^2\\C=1s^2,2S^2,2p^2[/tex]
If will not form a pair because no free element is available with Be.
c)BC
[tex]B=1s^2,2S^2,2p^1\\C=1s^2,2S^2,2p^2[/tex]
It will form a bond because unpaired electrons are present in Boron and carbon.
d)[tex]C_2[/tex]
[tex]C=1s^2,2S^2,2p^2[/tex]
It will form a bond because unpaired electrons are present.
e)CN
[tex]C=1s^2,2S^2,2p^2\\N=1s^2,2S^2,2p^3[/tex]
It will form a bond because unpaired electrons are present.
For more such question on valence bond.
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