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43. Bohr’s Model and Physics of the Atom
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Q1 of 106 Page 384

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

We know that the dimensions of the following are,






Thus we obtain the Bohr’s radius as,




Therefore, a0 = L, which is in the dimension of length.


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50

Calculate the Q-values of the following fusion reactions:

(a)


(b)


(c)


Atomic masses are = 2.014102 u, = 3.016049 u, = 3.016029 u, = 4.002603 u.


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.


2

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.


3

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

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