According to Moseley's law, the ratio of the slope of graph between `sqrtf` 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

`sqrt(f)prop(Z-1)`
`" "` slope `propsqrt((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`:. (("slope")K_(beta))/(("slope")K_(alpha))=sqrt(1-(1)/(9))/(sqrt(1-(1)/(4)))=sqrt((8)/(9)xx(4)/(3))=sqrt((32)/(27))`