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When an electron makes transition from (...

When an electron makes transition from `(n+1)`state to n state the wavelength of emitted radiations is related to n `(ngtgtgt1)` according to `lamdapropn^(x).`
What is the value of x ?

Text Solution

Verified by Experts

The correct Answer is:
3

`1/lambda = RZ^(2) (1/n^(2) - 1/(n+1)^(2))`
`1/lambda =RZ^(2) ((n+1)^(2) -n^(2))/(n^(2)(n+1)^(2))`
`1/lambda =RZ^(2) ((n+1+n)(n+1-n))/(n^(2) (n+1)^(2))`
`1/lambda =RZ^(2) (2n+1)/(n^(2)(n+1)^(2))`
`lambda prop n^(3)`
`x=3`
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