Find the value of Rydberg's constant if the energy of electron in the second orbit in hydrogen atom is `-3.4` eV.

Explanation

Data: `n=2, E_(2) = -3.4 eV = -3.4(1.6 xx 10^(-19)) J`
`E_(n) = -("Rch)/n^(2)`
`therefore` Rydberg's constant, `R=-(n^(2)E_(n))/(ch)`
`=((2)^(2)(5.44 xx 10^(-19)))/((3 xx 10^(8))(6.63 xx 10^(-34)))= (21.76)/(19.89) xx 10^(7)`
`=1.094 xx 10^(7) m^(-1)`