The wavelength of the characteristic X-ray `K_(alpha)` line emitted by a hydrogen-like element is `0.32 Å`. Calculate the wavelength of `K_(beta)` line emitted by a same element.

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`