The energy required to excite an electron fro | vedclass

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(A) The energy difference for an electron transition in a hydrogen-like atom is given by the formula: $\Delta E = 13.6 	imes Z^2 	imes (\frac{1}{n_1

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$12.1$

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(A) The energy difference for an electron transition in a hydrogen-like atom is given by the formula: $\Delta E = 13.6 	imes Z^2 	imes (\frac{1}{n_1^2} - \frac{1}{n_2^2}) \ eV$.For a hydrogen atom,$Z = 1$,$n_1 = 1$,and $n_2 = 3$.Substituting these values:$\Delta E = 13.6 	imes 1^2 	imes (\frac{1}{1^2} - \frac{1}{3^2}) \ eV$.$\Delta E = 13.6 	imes (1 - \frac{1}{9}) \ eV$.$\Delta E = 13.6 	imes \frac{8}{9} \ eV$.$\Delta E = 12.088 \approx 12.1 \ eV$.

The energy required to excite an electron from the first orbit to the third orbit in a hydrogen atom is .......... $eV$.

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