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What is the experimental evidence in sup...

What is the experimental evidence in support of the diea that electronic energies in an atom are quantized?

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The line spectrun of any element has lines corresponding to definite wavelengths. Lines are obtained as a result of electronic trasnisions between the energy levels. Hence , the electrons in these levels have fiexed energy i.e. quatizied valeus.
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Bohr's model enables us to derive the energy of an electron revolving in nth orbit. For H-atom and hydrogen like species : E_n = (2 pi^2 m e^4 Z^2)/(n^2 h^2) or = - (13.6 Z^2)/(n^2) eV "atom"^(-1) = (21.8 xx 10^(-19) Z^2)/(n^2) J "atom"^(-1) This helps to calculate the radius of an orbit, r_n = (0.529 n^2)/(Z) Å Bohr's model also explains the occurrence of different spectral lines. The wavelengths of difference line can be given as : 1/lambda = barv ("in" cm^(-1)) = R (1/(n_1^2) - 1/(n_2^2)) R = 109678 cm^(-1) and n_2 > n_1 . What is the experimental evidence in support of the fact that electronic energies in an atom are quantized ?

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NCERT EXEMPLAR-STRUCTURE OF ATOM-All Questions
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  2. According to de-Brogile, matter should exhibit dual behaviour, that i...

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  10. Hydrogen atom has only one electron, So, mutual repulsion between elec...

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  11. Match the following species with their corresponding ground state elec...

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  12. Match the quantum numbers with the information provided by these.

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  13. Match the following rules with their statements.

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  14. Match species given in column I with the electronic configuration giv...

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  15. Assertion(A): All isotopes of a given element show the same type of ch...

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  17. Assertion (A) It is impossible to determine the exact position and exa...

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