Modern Physics 1 Question 30

27. It is found that the excitation frequency from ground to the first excited state of rotation for the CO molecule is close to 4π×1011Hz. Then the moment of inertia of CO molecule about its centre of mass is close to (Take h=2π×1034Js)

(a) 2.76×1046kgm2

(b) 1.87×1046kgm2

(c) 4.67×1047kgm2

(d) 1.17×1047kgm2

(2010)

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Solution:

  1. hv=K2K1=3h28π2I

I=3h8π2f=3×2π×1034×π8×π2×4×1011=1.87×1046kgm2



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