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Atoms and Nuclei question

2010 · Shift 2 · Q54
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  5. /2010 · Shift 2 · Q54

Atoms and Nuclei question

2010 · Shift 2 · Q54

JEE AdvancedPhysicsAtoms and NucleiMCQ+3 / −1
The key feature of Bohr's theory of spectrum of hydrogen atom is the quantization of angular momentum when an electron is revolving around a proton. We will extend this to a general rotational motion to find quantized rotational energy of a diatomic molecule assuming it to be rigid. The rule to be applied is Bohr's quantization condition.It is found that the excitation frequency from ground to the first excited state of rotation for the CO molecule is close to 4π×1011{4 \over \pi } \times {10^{11}}π4​×1011 Hz. Then, the moment of inertia of CO molecule about its centre of mass is close to (Take h = 2 π×\pi\timesπ× 10 −-− 34 J-s)
  1. A
    2.76 ×\times× 10 −-− 46 kg m2
  2. B
    1.87 ×\times× 10 −-− 46 kg m2
  3. C
    4.67 ×\times× 10 −-− 47 kg m2
  4. D
    1.17 ×\times× 10 −-− 47 kg m2
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