Answer:
n = 19
Explanation:
[tex]\lambda[/tex] = Wavelength of the light absorbed = 91.65 nm = 91.65 x 10⁻⁹ m
[tex]n_{2}[/tex] = nth level = n
[tex]n_{1}[/tex] = 1
Using conservation of energy
[tex]\frac{hc}{\lambda} = (13.6\times1.6\times10^{-19}) (\frac{1}{n_{1}^2} - \frac{1}{n_{2}^2} )\\\frac{(6.63\times10^{-34})(3\times10^{8})}{(91.65\times10^{-9})} = (13.6\times1.6\times10^{-19}) (\frac{1}{1^2} - \frac{1}{n^2} )\\2.17\times10^{-18} = (21.76\times10^{-19}) (\frac{1}{1^2} - \frac{1}{n^2} )\\n = 19[/tex]
