Question
The energy associated with the first orbit in the hydrogen atom is $-2.18 \times 10^{-18} \mathrm{~J}$ atom ${ }^{-1}$. What is the energy associated with the fifth orbit?

Answer

Energy associated with the fifth orbit of hydrogen atom is calculated as:
$\text{E}_5=\frac{-(2.18\times10^{-18})}{(5)^2}=\frac{-2.18\times10^{-18}}{25}$
$E_5=-8.72 \times 10^{-20} \mathrm{~J}$

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