The frquencies of `K_alpha, K_beta` and `L_alpha` X-rays of a materail are `gamma_1, gamma_2 and gamma_3` respectively. Which of the following relation holds good?

Options

A. `gamma_2 = sqrt(gamma_1+gamma_3)`
B. `gamma_2 = gamma_1+gamma_3`
C. `gamma_2 = (gamma_1+gamma_3)/(2)`
D. `gamma_3 = sqrt(gamma_1 gamma_2)`

Answer

B

Explanation

`E_(K_beta) = E_(K_alpha) + E_(L_alpha)`
`:. h_(lambda_2) = h_(lambda_1) + h_(lambda_3)`
`:. Lambda_2 = lambda_1+lambda_3.`