Answer
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Hint: Fluorine molecule is bonded by strong sigma bond. This type of covalent bond is formed by the head-to-head overlap of bonding orbitals along the internuclear axis. This is known as axial overlap or head-on overlap. p-p overlapping takes place when two half-filled p-orbitals of the two atoms approach each other.
Complete answer:
Before going to explain this solution. We will go with each option.
(a) The axial p-p orbital overlap:
In fluorine $ 2{p_z} $ orbitals are partially filled they will overlap in head to head fashion. Hence strong sigma bonds will be formed. Fluorine electronic configuration is $ 1{s^2}2{s^2}2{p^5} $ . So the last electron will go in $ {p_z} $ orbital.
(b) The sideways p-p orbital overlap-
This type of overlapping is possible in $ {p_x} $ and $ {p_y} $ orbital. These orbits undergo sideways overlapping and the $ {p_z} $ orbital will undergo head to head overlapping. Fluorine molecules will not undergo sideways p-p orbital overlap.
The rest of the overlapping is not possible in fluorine molecule as we can see that fluorine molecule as $ 9 $ atomic number so its electronic configuration will be like $ 1{s^2}2{s^2}2{p^5} $ . In fluorine, there is $ 2p $ partially filled orbital, so fluorine molecules come to each other to overlap and this overlapping of molecules will result in a covalent bond.
Hence, the correct option is (A).
Note:
The strength of a bond depends upon the extent of overlapping. As we can see that fluorine molecule has $ 2{p^5} $ partially-filled orbital, if we will consider this $ p $ orbital as normal $ 2p $ orbital instead of $ 2{p_z} $ orbital then we will make mistake and will choose the wrong option.
Complete answer:
Before going to explain this solution. We will go with each option.
(a) The axial p-p orbital overlap:
In fluorine $ 2{p_z} $ orbitals are partially filled they will overlap in head to head fashion. Hence strong sigma bonds will be formed. Fluorine electronic configuration is $ 1{s^2}2{s^2}2{p^5} $ . So the last electron will go in $ {p_z} $ orbital.
(b) The sideways p-p orbital overlap-
This type of overlapping is possible in $ {p_x} $ and $ {p_y} $ orbital. These orbits undergo sideways overlapping and the $ {p_z} $ orbital will undergo head to head overlapping. Fluorine molecules will not undergo sideways p-p orbital overlap.
The rest of the overlapping is not possible in fluorine molecule as we can see that fluorine molecule as $ 9 $ atomic number so its electronic configuration will be like $ 1{s^2}2{s^2}2{p^5} $ . In fluorine, there is $ 2p $ partially filled orbital, so fluorine molecules come to each other to overlap and this overlapping of molecules will result in a covalent bond.
Hence, the correct option is (A).
Note:
The strength of a bond depends upon the extent of overlapping. As we can see that fluorine molecule has $ 2{p^5} $ partially-filled orbital, if we will consider this $ p $ orbital as normal $ 2p $ orbital instead of $ 2{p_z} $ orbital then we will make mistake and will choose the wrong option.
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