Question

if energy of electron in a hydrogen atom is -Rh/9 (Rh is rydberg constant), the possible number of orbitals in this hydrogen atom is

Answer 1

Given that,

Energy of electron in hydrogen atom is

$E=-\dfrac{R_{h}}{9}$

We need to calculate the possible number of orbitals in this hydrogen atom

Using formula of energy of hydrogen atom

$E=-\dfrac{R_{h}z^2}{n^2}$

Where, $R_{h}$ =rydberg constant

n = number of orbit

z = atomic number

Put the value into the formula

$\dfrac{R_{h}}{9}=\dfrac{R_{h}\times 1}{n^2}$

$n^2=9$

$n=3$

Hence, The possible number of orbitals in this hydrogen atom is 3.