Deutrium was discovered in 1931by Harold Urey by measuring the small change in wavelength for a particular transition in 1H and 2 This is because, the wavelength of transition depends to a certain extent on the nuclear mass. If nuclear motion is taken into account, then the electrons and nucleus revolve around their common centre of mass. Such a system is equivalent to a single particle with a reduced mass μ , revolving around the nucleus at a distance equal to the electron-nucleus separation. Here μ = meM / ( me + M ) where M is the nuclear mass and me is the electronic mass. Estimate the percentage difference in wavelength for the 1st line of the Lyman series in . 1H and 2H . (Mass of 1H nucleus is 1.6725 × 10-27kg , mass of 1H nucleus is 3.3374 × 10-27kg 3.3374 × 10-27
?g , Mass of electron = 9.109 × 10-31 kg ).
Deutrium was discovered in 1931by Harold Urey by measuring the small change in wavelength for a particular transition in 1H and 2 This is because, the wavelength of transition depends to a certain extent on the nuclear mass. If nuclear motion is taken into account, then the electrons and nucleus revolve around their common centre of mass. Such a system is equivalent to a single particle with a reduced mass μ , revolving around the nucleus at a distance equal to the electron-nucleus separation. Here μ = meM / ( me + M ) where M is the nuclear mass and me is the electronic mass. Estimate the percentage difference in wavelength for the 1st line of the Lyman series in . 1H and 2H . (Mass of 1H nucleus is 1.6725 × 10-27kg , mass of 1H nucleus is 3.3374 × 10-27kg 3.3374 × 10-27 ?g , Mass of electron = 9.109 × 10-31 kg ).
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1 Answer
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This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation- total energy of electron
E=
The frequency hv=
=
= =
=
When me<
after solving we get 2.714
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