The wavelength of the characteristic X - ray `k_(alpha )` line emitted by a hydrogens like element is `0.32 lambda ` . The wavelength of the `K_(beta)` line emitted by the same element will be …..

Answer

d

Explanation

For `K_(alpha), (1)/(lambda) = c [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
`implies (1)/(0.32) = c [(1)/(1^(2)) - (1)/(2^(2))]` = `(3c)/(4)`
For `K_(alpha) = 1 = c ((1)/(1^(2)) - (1)/(3^(2))) = (8c)/(9)`
On dividing, we get `lambda = 0.27`