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In hydrogen and hydrogen like atoms the ...

In hydrogen and hydrogen like atoms the ratio of difference of energy `E_(4n)-E_(2n)` and `E_(2n)-E_(n)` varies with atomic number Z and principal quantum number n as

A

`(z^(2))/(n^(2))`

B

`(z^(4))/(n^(4))`

C

`(z)/(n)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(E_(4 n) - E_(2 n))/ (E_(2 n) - E_(n)) = ((E_(1))/(16 n^(2)) - (E_(1))/(4 n^(2)))/((E_(1))/(4 n^(2)) - (E_(1))/(n^(2))) = (1)/(4) = constant`
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