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The key feature of Bohr's spectrum of hy...

The key feature of Bohr's 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.
In a `CO` molecule, the distance between `C (mass = 12 a. m. u ) and O (mass = 16 a.m.u)` where `1 a.m.u = (5)/(3) xx 10^(-27) kg , `is close to

A

`2.4 xx 10^(-10) m`

B

`1.9 xx 10^(-10) m`

C

`1.3 xx 10^(-10) m`

D

`4.4 xx 10^(-10) m`

Text Solution

Verified by Experts

`r_(1) = (m_(2) d)/(m_(1) + m_(2)) and r_(2) = (m_(1) d)/(m_(1) + m_(2))`

`l = m_(1) r_(1)^(2) + m_(2) r_(2)^(2)`
`:. d = 1.3 xx 10^(-10) m`
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