Calculate the energy associated with the thir | vedclass

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Question

(D) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $E_n = -2.18 	imes 10^{-18} 	imes \frac{Z^2}

Vedclass · Accepted Answer

$-9.69 	imes 10^{-19} \ J$

Vedclass · Answer

(D) The energy of an electron in the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $E_n = -2.18 	imes 10^{-18} 	imes \frac{Z^2}{n^2} \ J$.For $He^{+}$,the atomic number $Z = 2$.The orbit number $n = 3$.Substituting these values into the formula:$E_3 = -2.18 	imes 10^{-18} 	imes \frac{2^2}{3^2} \ J$$E_3 = -2.18 	imes 10^{-18} 	imes \frac{4}{9} \ J$$E_3 = -2.18 	imes 10^{-18} 	imes 0.4444 \ J$$E_3 \approx -0.9688 	imes 10^{-18} \ J$$E_3 \approx -9.69 	imes 10^{-19} \ J$.

Calculate the energy associated with the third orbit of $He^{+}$.

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