What is the number of electrons in bonding molecular orbitals and antibonding molecular orbitals respectively in $F_2$ molecule?

  • A
    $12$ and $6$
  • B
    $10$ and $8$
  • C
    $8$ and $10$
  • D
    $6$ and $12$

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The wave functions of $1s$-orbitals of two hydrogen atoms are $\psi_A$ and $\psi_B$. $\psi_A$ and $\psi_B$ are linearly combined to form two molecular orbitals ($\sigma$ and $\sigma^*$). Which of the following statements are correct?
$I$. $\sigma^*$ is equal to $(\psi_A - \psi_B)$.
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$III$. The energy of $\sigma$-orbital is lower than the energy of $\sigma^*$-orbital.

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Assuming $2s-2p$ mixing is $NOT$ operative,the paramagnetic species among the following is:

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