Which of the following products in a hydrogen atom are independent of the principal quantum number n? The symbols have their usual meanings

Options

A. (i), (ii)
B. (ii), (iii)
C. (i),(iii)
D. (ii), (iv)

Answer

A

Explanation

(i) `v_(n)n prop ((Z)/(n).n=Z), (ii) E_(n)r_(n)prop ((Z^(2))/(n^(2)).(n^(2))/(Z)=Z)`
(iii) `E_(n)nprop ((Z^(2))/(n^(2)).n=(Z^(2))/(n)) , (iv) v_(n)r_(n)prop ((Z)/(n^(2)).(n^(2))/(Z)=n)`