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Q.

According to Bohr's theory of hydrogen atom, the product of the binding energy of the electron in the nth orbit and its radius in the nth orbit

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a

is proportional to n2

b

is inversely proportional to n3

c

has a constant value of 10.2 eV-Å

d

has a constant value of 7 .2 eV-Å

answer is D.

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Detailed Solution

En∝1n2 and rn∝n2 Therefore, Enrn is independent of n . Hence, E1r1=(13.6eV)(0.53Å) =7.2eV−Å= constant
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According to Bohr's theory of hydrogen atom, the product of the binding energy of the electron in the nth orbit and its radius in the nth orbit