If `f_(1)=f_(2)`​ and `f_(3)` ​ are the frequencies of corresponding `K_(alpha), K_(beta)`​ and `L_(alpha)`​ X-rays of an element, then :-

Options

A. `f_(1)=f_(2)=f_(3)`
B. `f_(1)-f_(2)=f_(3)`
C. `f_(2)=f_(1)+f_(3)`
D. `f_(2)^(2)=f_(1)f_(3)`

Answer

C

Explanation

For `k_(alpha)` emmision
`rArr ` transition ` rArr ` L shell to k - shell
For `k_(beta)` emission
` rArr ` tranisition `rArr ` M shell to k-shell
For `L_(alpha)` emmision
`=rArr` transition `rArr` M shell to L-shell
`E_(M)-E_(K) = (E_(M)-E_(L)) + (E_(L)-E_(K))`
` rArr hf_(2) = hf_(3)+hf_(1) rArr f_(2) =f_(1)+f_(3)`