H-atom is exposed to electromagnetic radiation of `lambda=1025.6` Å and excited atom gives out induced radiation. What is the minimum wavelength of the induced radiation?

Options

A. 102.6 nm
B. 12.09nm
C. 121.6nm
D. 810.8 nm

Answer

A

Explanation

`Deltae = (hc)/(lambda) rArr (1240 eV - nm)/(1025.6 xx 10^(-10) xx 10^(9))`
`Delta E = 12.09 eV`

In three different radiation s , minimum wavelenght for `3 to 1` transition .
`lambda_(3-1) = (hc)/(DeltaE) rArr (DeltaE)/(Delta E_(H)) = ((6.52 xx 10^(-18)))/((1.63 xx 10^(-18))) = 4`