Answer:
[tex]6.9631\times 10^{-11}\ m[/tex]
Explanation:
I = Moment of inertia = [tex]4\times 10^{-48}\ kg m^2[/tex]
m = Mass of two atoms = 2m = [tex]3.3\times 10^{-27}\ kg[/tex]
r = distance between axis and rotation mass
Moment of inertia of the system is given by
[tex]I=mr^2\\\Rightarrow I=2mr^2\\\Rightarrow 4\times 10^{-48}=3.3\times 10^{-27}\times r^2\\\Rightarrow r=\sqrt{\frac{4\times 10^{-48}}{3.3\times 10^{-27}}}\\\Rightarrow r=3.48155\times 10^{-11}\ m[/tex]
The distance between the atoms will be two times the distance between axis and rotation mass.
[tex]d=2r\\\Rightarrow d=2\times 3.48155\times 10^{-11}\\\Rightarrow d=6.9631\times 10^{-11}\ m[/tex]
Therefore, the distance between the two atoms is [tex]6.9631\times 10^{-11}\ m[/tex]
