Let `lambda_(alpha'), lambda_(beta),and lambda'_(alpha)` denote the wavelength of the X-ray of the `K_(alpha), K_(beta), and L_(alpha)` lines in the characteristic X-rays for a metal. Then.

Options

A. (i),(ii)
B. (ii),(iii)
C. (i), (iii)
D. (i),(iv)

Answer

C

Explanation

`(hc)/lambda_(alpha)=E_(K)-E_(L)` …(i)
`(hc)/lambda_(beta)=E_(K)-E_(M)` …(ii)
`(hc)/(lambda_(alpha)^('))=E_(L)-E_(M)` …(iii)
`(E_(K)-E_(M))gt(E_(K)-E_(L))gt(E_(L)-E_(M))`
`(hc)/(lambda_(beta)) gt (hc)/(lambda_(alpha)) gt (hc)/(lambda_(alpha)^(')) rArr lambda_(beta) lt lambda_(alpha) lt lambda_(alpha)^(')`
`(hc)/(lambda_(beta))=(hc)/(lambda_(alpha))+(hc)/(lambda_(alpha)^(')) rArr (1)/(lambda_(beta))=(1)/(lambda_(alpha))+(1)/(lambda_(alpha)^('))`