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. `lambda_(a) gt lambda'_(a)` and `lambda_(beta)`
B. `lambda'_(alpha) gt lambda_(beta) gt lambda_(alpha)`
C. `(1)/(lambda_(beta)) = (1)/(lambda_(alpha)) + (1)/(lambda'_(a))`
D. `(1)/(lambda_(alpha)) + (1)/(lambda_(beta)) = (1)/(lambda'_(alpha))`

Answer

C

Explanation

According to the energy diagram of `X` - ray spectra
`because Delta E = (hc)/( lambda) rArr lambda prop (1)/(Delta E)`