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.
μ=m1m2m1+m2=1.14⋅10−26 kg,\mu=\frac{m_1m_2}{m_1+m_2}=1.14\cdot 10^{-26}~kg,μ=m1+m2m1m2=1.14⋅10−26 kg,
ν=12πkμ ⟹ \nu=\frac{1}{2\pi}\sqrt{\frac{k}{\mu}}\impliesν=2π1μk⟹
k=4μπ2ν2=0.45 MNkg,k=4\mu \pi^2 \nu^2=0.45~\frac{MN}{kg},k=4μπ2ν2=0.45 kgMN,
I=h8π2k3=0.92⋅10−52 kg⋅m2,I=\frac{h}{8\pi^2 k^3}=0.92\cdot 10^{-52}~kg\cdot m^2,I=8π2k3h=0.92⋅10−52 kg⋅m2,
r=Iμ=8.98⋅10−14 m.r=\sqrt{\frac{I}{\mu}}=8.98\cdot 10^{-14}~m.r=μI=8.98⋅10−14 m.
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