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43. Bohr’s Model and Physics of the Atom
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Q2 of 106 Page 384

Find the wavelength of the radiation emitted by hydrogen in the transitions A. n=3 to n=2, B. n=5 to n=4 and

C. n=10 to n=9.


We know that the wavelength is given by,



As the atom is hydrogen atom, so Z=1.


A. Here, n=2 and m=3.Thus,





B. Here, n=4, m=5.Thus,



C. Here, n=9, m=10. Thus,



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53

Calculate the energy that can be obtained from 1 kg of water through the fusion reaction

2H + 2H →3H + p.


Assume that 1.5 × 10–2% of natural water is heavy water D2O (by number of molecules) and all the deuterium is used for fusion.


1

The Bohr radius is given by, .Verify that the RHS has dimensions of length.

3

Calculate the smallest wavelength of radiation that may be emitted by A. hydrogen B. and C.

4

Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.

Questions · 106
43. Bohr’s Model and Physics of the Atom
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