Consider the radiation emitted by large number of singly charged positive ions of a certain element. The sample emit fifteen types of spectral lines, one of which is same as the first line of lyman se

Question

Consider the radiation emitted by large number of singly charged positive ions of a certain element. The sample emit fifteen types of spectral lines, one of which is same as the first line of lyman series. What is the binding energy in the highest energy state of this configuration?

TestHub · Accepted Answer

2 n ( n − 1 ) ​ = 15 ⇒ n = 6 Element should be hydrogen like atoms so ion will be He + Binding energy = n 2 ( 13.6 ) ( Z 2 ) ​ = 36 ( 13.6 ) ( 4 ) ​ = 9 13.6 ​ = 1.6 eV

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