Which of the following relations is applicabl | vedclass

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(A) For an $H$-like species,the energy of an orbit $n$ is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ eV$. Calculating the energy differences: $(E_

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$(E_2 - E_1) > (E_3 - E_2) > (E_4 - E_3)$

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(A) For an $H$-like species,the energy of an orbit $n$ is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ eV$. Calculating the energy differences: $(E_2 - E_1) = -13.6 Z^2 (\frac{1}{4} - 1) = 13.6 Z^2 (\frac{3}{4}) = 10.2 Z^2$. $(E_3 - E_2) = -13.6 Z^2 (\frac{1}{9} - \frac{1}{4}) = 13.6 Z^2 (\frac{5}{36}) \approx 1.89 Z^2$. $(E_4 - E_3) = -13.6 Z^2 (\frac{1}{16} - \frac{1}{9}) = 13.6 Z^2 (\frac{7}{144}) \approx 0.66 Z^2$. Comparing these values,we see that $(E_2 - E_1) > (E_3 - E_2) > (E_4 - E_3)$.

Which of the following relations is applicable for any $H$-like species?

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