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ul("Calculate") the frequency in s^(-1) ...

`ul("Calculate")` the frequency in `s^(-1)` of infrated photons that can be absorbed by HD molecule.
(If you have been unable to calculate the value for `epsilon_(HD)` then use `8.000xx10^(-20)` the calculation)
The allowed electronic energies of H atom of H atom are given by the expression:
`E=-R_(H)/n^(2), n=1, 2,` .... where `R_(H)=13.5984 eV` and `1 eV=1.602xx10^(-19) J`
The total energy of `H_(2)` molecules in its ground state is `-31.675 eV`, relative to the same refrence as that of hydrogen atom.

Text Solution

Verified by Experts

The correct Answer is:
`hv=DeltaE`
`DeltaE=E_(v1)-E_(v0)=(3/2-1/2)epsilon_(HD)=epsilon_(HD)`
`hv=epsilon_(HD)rArr v=epsilon_(HD)/h`
From part `3.1 :`
`epsilon_(HD)=7.5724xx10^(-20) J`
Thus : `v=(7.5724xx10^(-20) J)/(6.6261xx10^(-34) J s)=1.1428xx10^(-14) s`
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