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The hydrogen atom in the ground state is...

The hydrogen atom in the ground state is excited by means of monochromatic radiation of wavelength `xA_(0)` The resulting spectrum consists of 15 different lines. Calculate the value of x.

Text Solution

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The correct Answer is:
`938A^(@)`
`(n(n-1))/(2)=15" "n^(2)-n=30`
`n^(2)-n-30=0" "n=6`
`(1)/(lambdaÅ)=R_(H)[(1)/(1)-(1)/(36)]`
`(1)/(x)=(1)/(912)xx(35)/(36)=(35xx2496)/(32832)`
`lambda=932Å`
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