Calculate the wavelength of the `K_(a)` line for z = 31, when `a=5 xx 10^(7) Hz^(1/2)` for a characteristic X-ray spectrum.

Options

A. `1.33 overset(circ)(A)`
B. 1.33nm
C. `133 xx 10^(-10)m`
D. 133nm

Answer

a

Explanation

Wavelength of `K_(a)` line is given by , `lambda=c/v`
where,
`v=a^(2)(z-1)^(2)`
`=(5xx10^(7))^(2)(31-1)^(2)`
`v=2.25xx10^(18)`
`lambda = (3xx10^(8)m//s^(-1))/(2.25xx10^(18)Hz)`
`therefore lambda=1.33 overset(circ)(A)`