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A hydrogen atom in the ground state is e...

A hydrogen atom in the ground state is excited by monochromatic radiation of wavelength `lamda Å.` The resulting spectrum consists of maximum 15 different lines. What is the wavelength `lamda?`
`(R_(H)=109737 cm^(-1))`

Text Solution

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Total number of spectral lines given by `(1)/(2)[n-1]xxn=15," "therefore" "n=6`
Thus, electron is excited upto `6^("th")` energy level from ground state. Therefore,
`(1)/(lambda)=R_(H)[(1)/(1^(2))-(1)/(n^(2))]=109737xx(35)/(36)," "lambda-9.373xx10^(-6)cm=937.7Å`
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