How many hydrogen atoms in the ground state are exited by means of monochromatic radiation of wavelength 970.6 Ã…. How many different lines are possible in the resulting emission spectrum? Find the longest wavelength among these .

Answer

Six different lines, `lamda=1215.68`Ã…

Explanation

`E_(n)=E_(1)=(hc)/(lamda)`
`(-21.69xx10^(-19))/(n^(2))+(21.69xx10^(-19))/(1)=(6.626xx10^(-34)xx3xx10^(8))/(970.6xx10^(-10))`
`n=4`
`(1)/(lamda)=RZ^(2)((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`(1)/(lamda)=109677.77xx1^(2)((1)/(1^(2))-(1)^(2^(2)))`
`lamda=1215.68`Ã…
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