Question

Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of electron in this orbit is E/x, then x = ______.
(Given a₀ = 0.529Å, E = energy of electron in ground state)

Answer 1

Correct Answer: 16

We know:

\[ r = 0.529 \frac{n^2}{Z} \implies 8.48 = 0.529 \frac{n^2}{1} \]

\[ n^2 = 16 \implies n = 4 \]

We also know:

\[ E \propto \frac{1}{n^2} \]

\[ E_n = \frac{E}{16} \]

Thus, $x = 16$.