Answer to Question #208724 in Atomic and Nuclear Physics for sree

Question #208724

In co, the J=0 →J=1 transition, absorption occurs at forequency 1-15x10" Hz. Moment of Inertia of the molecule is ? (b) find the Bondlength of the Co molecule.


1
Expert's answer
2021-06-21T11:40:35-0400

μ=m1m2m1+m2=1.141026 kg,\mu=\frac{m_1m_2}{m_1+m_2}=1.14\cdot 10^{-26}~kg,

ν=12πkμ    \nu=\frac{1}{2\pi}\sqrt{\frac{k}{\mu}}\implies

k=4μπ2ν2=0.45 MNkg,k=4\mu \pi^2 \nu^2=0.45~\frac{MN}{kg},

I=h8π2k3=0.921052 kgm2,I=\frac{h}{8\pi^2 k^3}=0.92\cdot 10^{-52}~kg\cdot m^2,

r=Iμ=8.981014 m.r=\sqrt{\frac{I}{\mu}}=8.98\cdot 10^{-14}~m.


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