Question

Calculate the wavelength of the Ka X-ray emitted from a Zinc target (Z = 30) when an electron moves from higher shell to the Kshell (n = 1).

Answer 1

`\lambda = 1.45*10^(-10) m`

Step-by-step explanation:

wavelength of K_a X ray can be computed by using following relation

`(1)/(\lambda) = R(Z-1)^2 [(1)/(n_1^2 - (1)/(n^2_2))]`

for K_a ray,
`n_1 = 1, n_2 = 2`

therefore

`(1)/(\lambda) = R(30-1)^2 [(1)/(1) - (1)/(4)]`

`(1)/(\lambda) = (R*841*3)/(4)`

`\lambda = (4)/(R*841*3)`

Where R is Rydberg constant = 1.097 *10^7 m^{-1}

`\lambda = (4)/(1.097 *10^7*841*3)`

`\lambda = 1.45*10^(-10) m`