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The covalent radii of atoms A and B are $$r_A$$ and $$r_B$$ respectively. The covalent bond length and total length of $$AB$$ molecule are respectively :
To understand the relationship between covalent radii and bond length, we use the fundamental definition of covalent radius in molecular geometry.
The covalent bond length between two atoms $$A$$ and $$B$$ is defined as the sum of their individual covalent radii when they are joined by a single covalent bond. Therefore, the bond length is given by
$$d_{AB}=r_A+r_B.$$
The total length of the diatomic molecule $$AB$$ refers to the distance from the outer edge of atom $$A$$ to the outer edge of atom $$B$$. Since this includes the radii of both atoms on either side of the bond, the total molecular length is
$$L=2(r_A+r_B).$$
Hence, the covalent bond length of the molecule is
$$r_A+r_B,$$
and the total length of the molecule is
$$2(r_A+r_B).$$
Therefore, the correct option is the one corresponding to
$$\boxed{\text{Bond length}=r_A+r_B,\qquad \text{Total length}=2(r_A+r_B).}$$
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