NCERT Physics Class 12 Exemplar Ch 12 Atoms Part 6

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29 The Bohr model for the H-atom relies on the Coulomb’s law of electrostatics. Coulomb’s law has not directly been verified for very short distances of the order of angstroms.

Supposing Coulomb’s law between two opposite charge is modified to

Calculate in such a case, the ground state energy of a H-atom, if .

Ans:

Let

(i)

Solving this for r, we get

For and substituting the values of constant, we get

(ii)

(iii)K.E

P.E. till

P.E. from to

P.E.

P.E.

Total energy is

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