Energy levels A,B,C of a certain atoms corresponding to increasing values of energy level i.e., `E_(A) lt E_(B) lt E_(C)`. If `lambda_(1), lambda_(2)` and `lambda_(3)` are the wavelengths of radiations corresponding to the transitions C to B,B to A and C to A respectively which of the following statement is correct?

Options

A. `lambda_(3)=lambda_(1)+lambda_(2)`
B. `lambda_(1)+lambda_(2)+lambda_(3)=0`
C. `lambda_(3)^(2)= lambda_(1)^(2)+lambda_(2)^(2)`
D. `lambda_(3)=(lambda_(1)lambda_(2))/(lambda_(1)+ lambda_(2))`

Answer

D

Explanation

` :' (E_(C)-E_(B))+(E_(B)-E_(A))`
`implies (hc)/(lambda_(3))=(hc)/(lambda_(1))+(hc)/(lambda_(2))=lambda_(3)=((lambda_(1)lambda_(2))/(lambda_(1)+lambda_(2)))`