According to Moseley's law the ratio of the slope of graph between `sqrt(f)` and Z for ` K_(beta) and K_(alpha)` is

Options

A. `(sqrt(32)/(27))`
B. `(sqrt(27)/(32))`
C. `(sqrt(5)/(36))`
D. `(sqrt(36)/(5))`

Answer

A

Explanation

`sqrtf prop (Z-b) sqrt(((1)/(n_1^2) -(1)/(n^2)))^2`
`:. Slope prop sqrt((1)/(n_1^2) - (1)/(n_2^2))`
`:. (Slope_1)/(Slope_2) = (sqrt1-1//9)/(sqrt1-(1)/(4) = sqrt(32)/(27)`
`For K_beta, n_1 = 1, n_2 =3`
`For K_alpha, n_1 = n_2 = 2.`