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Back bonding in \[B{{F}_{3}}\] does not affect:
a.) Planarity, lewis acid strength and bond angle.
b.) Bond length, hybridisation and bond strength.
c.) Bond angle, planarity and geometry.
d.) Lewis acidity, bond length, bond order (\[B\to F\]).

Answer
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Hint: \[B{{F}_{3}}\] has a trigonal planar structure and all the 3 \[B\to F\] bonds lie in the same plane. Therefore all the p orbitals of boron and fluorine are parallel to each other.

Complete step by step solution:
Let us discuss how back bonding occurs in \[B{{F}_{3}}\] molecules.
-\[B{{F}_{3}}\] molecule has 2p orbitals of each fluorine which has fully filled orbitals and one of the 2p orbital of boron atoms is vacant.
-There will be a lateral overlap between the 2p orbitals involved in the formation of \[B\to F\] bond. This would result in the transfer of fluorine electrons into the vacant orbitals of the boron atom.
-There is an effective overlap between them because both the orbitals are of the same energy. We can say that an additional \[p\pi -p\pi \] bond is formed and the \[B\to F\] bond acquires a double bond character.
-Due to this back donation, the electron deficiency of boron is compensated and therefore Lewis acidity of \[B{{F}_{3}}\] decreases.
-The tendency of \[p\pi -p\pi \] bond formation is seen maximum in \[B{{F}_{3}}\] molecules.
-\[B{{F}_{3}}\] molecule forms a resonating structure. The lone pair of electrons between the boron and fluorine resonate giving it 3 resonating structures.

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Back bonding \[B{{F}_{3}}\] does not affect the bond angle, planarity and the geometry of the molecule.

So, the correct answer is “Option C”.

Note: We should keep in mind that due to back bonding the hybridisation changes, bond strength increases and also bond length decreases. It is due to \[B{{F}_{3}}\] molecules planar structure and its bond angle, the overlapping of p orbitals occur.