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When an electron is transisted from 2E t...

When an electron is transisted from 2E to E energy level, the wavelength of resultant photon produce is `lambda`. If electronic transition involves `(4)/(3)` E to e level, the wavelength of resultant photon is `lambda_(2)`. The correct relation between `lambda_(1)` & `lambda_(2)` is `lambda_(2) = x lambda_(1)`. Then find the value of x ?

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The correct Answer is:
3
`2E -E =(hc)/(lambda_1) implies E = (hc)/(lambda_1)`
Again , `(4E)/(3) -E = (hc)/(lambda_2)`
`implies (E)/(3) = (hc)/(lambda_2) ` or `E= 3(hc)/(lambda_2) = (hc)/(lambda_1) ` or ` lambda_2 = 3 lambda`
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