Experimentally it is found that 12.8 , eV ene | vedclass

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(C) The binding energy of the hydrogen atom system is given by $U = \frac{k e^2}{2r}$,where $k = \frac{1}{4 \pi \epsilon_0}$.Given binding energy $= 1

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$16$

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(C) The binding energy of the hydrogen atom system is given by $U = \frac{k e^2}{2r}$,where $k = \frac{1}{4 \pi \epsilon_0}$.Given binding energy $= 12.8 \, eV = 12.8 	imes 1.6 	imes 10^{-19} \, J$.Equating the two expressions:$\frac{9 	imes 10^9 	imes (1.6 	imes 10^{-19})^2}{2r} = 12.8 	imes 1.6 	imes 10^{-19}$.Simplifying for $r$:$r = \frac{9 	imes 10^9 	imes 1.6 	imes 10^{-19}}{2 	imes 12.8} = \frac{9 	imes 1.6 	imes 10^{-10}}{25.6} = \frac{9 	imes 10^{-10}}{16} \, m$.Comparing this with the given form $\frac{9}{x} 	imes 10^{-10} \, m$,we find $x = 16$.

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