Calculate frequency, energy and wavelength of the radiation corresponding to the speciral line of the lowest frequency in lyman series in the spectrum of a hydrogen atom .Also calculate the energy for the coresponding line in the spectrum of `Li^(2+).(R_(H) = 109677 cm^(-1), c = 3 xx 10^(8) m s^(-1), Z = 3)`

Calculate frequency, energy and wavelength of the radiation correspond

1.	Calculate frequency, energy and wavelength of the radiation corresponding to the speciral line of the lowest frequency in lyman series in the spectrum of a hydrogen atom .Also calculate the energy for the coresponding line in the spectrum of `Li^(2+).(R_(H) = 109677 cm^(-1), c = 3 xx 10^(8) m s^(-1), Z = 3)`
Answer» Correct Answer - A::B::C::D `(1)/(lambda) = bar v = R [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]` `= 1.09678 xx 10^(7)m^(-1)[(1)/(1^(2)) -(1)/(2^(2))]` `= 1.09678 xx 10^(7)m^(-1)(1 - (1)/(4))` `lambda = (4)/(1.09678 xx 10^(7) xx 3)m^(-1) = 1.2157 xx 10^(-7)m` ` c/lambda=(3xx10^(8)ms^(-1))/(1.2157xx10^(-7)m)=2.4677xx10^(15)s^(-1)` `E = hv = 6.6625 xx 10^(-14) Js xx 2.4677 xx 10^(15) s^(-1) = 1.63485 xx 10^(18) J` [ `E = hv = 6.6625 xx 10^(-14) Js xx 2.4677 xx 10^(15) s^(-1) = 1.63485 xx 10^(18) J` [Energy for comes- ponding line spetral of `Li^(2+)]` = [Energy for hydrogen atom `xx Z^(2)]` `1.63485 xx 10^(-10) J xx 3^(2)` ` = 1.471.365 xx 10^(-17) J`

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